SlideShare a Scribd company logo
1 of 149
Download to read offline
Full Stack Deep Learning - UW Spring 2020 - Sergey Karayev - with content by Pieter Abbeel, Josh Tobin
Recurrent Neural Networks
Agenda
1. Sequence Problems

2. RNNs

3. Vanishing gradients and LSTMs

4. Case study: Machine Translation

(Bidirectionality and Attention)

5. CTC loss

6. Pros and Cons

7. A preview of non-recurrent sequence models
Agenda
1. Sequence Problems
2. RNNs

3. Vanishing gradients and LSTMs

4. Case study: Machine Translation

(Bidirectionality and Attention)

5. CTC loss

6. Pros and Cons

7. A preview of non-recurrent sequence models
Sequence
Time series
forecasting Time series Predicted next value
Sentiment
classification
Review text Predicted sentiment
Translation English text French text
Speech recognition
and generation
Audio waveform Text
Text or music
generation Ø Text or
Image captioning Image
“The quick brown fox
jumped over the lazy
dog”
Description
Sequence problems
Question Answering Text Text
Types of sequence problems
1. Why RNNs?
(From http://karpathy.github.io/2015/05/21/rnn-effectiveness/)
Full Stack Deep Learning - UW Spring 2020
Questions?
6
Why not use feedforward networks?
1. Why RNNs?
many to many
Why not use feedforward networks?
1. Why RNNs?
Concatenate
many to many
Why not use feedforward networks?
1. Why RNNs?
Concatenate
Fully
connected
Output
many to many
Why not use feedforward networks?
1. Why RNNs?
Concatenate
Fully
connected
Output
Reshape
many to many
Problem 1: variable length inputs
1. Why RNNs?
many to many
? Can deal with this by
padding all sequences to
the max length, but…
Problem 2: memory scaling
1. Why RNNs?
many to many
Memory requirement
scales linearly in number
of timesteps
k-dim feature t timesteps
k * t dim
d-dim
k * t * d dim
matrix
Problem 3: overkill
1. Why RNNs?
many to many
k-dim feature t timesteps
k * t dim
d-dim
k * t * d dim
matrix
This matrix has to learn
patterns everywhere
they may occur in the
sequence!
This ignores the nature
of the problem: patterns
over time.
Full Stack Deep Learning - UW Spring 2020
Questions?
14
Agenda
1. Sequence Problems

2. RNNs
3. Vanishing gradients and LSTMs

4. Case study: Machine Translation

(Bidirectionality and Attention)

5. CTC loss

6. Pros and Cons

7. A preview of non-recurrent sequence models
Core idea of RNNs
2. Review of RNNs
Stateful computation
ht
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
yt
<latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit>
<latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit>
<latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit>
<latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit>
xt
<latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit>
<latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit>
<latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit>
<latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit>
yt, ht = f(xt, ht 1)
<latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit>
<latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit>
<latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit>
<latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit>
Core idea of RNNs
Stateful computation
ht
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
yt
<latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit>
<latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit>
<latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit>
<latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit>
xt
<latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit>
<latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit>
<latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit>
<latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit>
 ht
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
yt
<latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit>
<latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit>
<latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit>
<latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit>
xt
<latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit>
<latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit>
<latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit>
<latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit>
h0
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
h1
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
x1
<latexit sha1_base64="7RaOx2onYKwAEmM+c9KG/gafX24=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmO2mXbjZhdyOW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYng2rjut1NYW9/Y3Cpul3Z29/YPyodHLR2nimGTxSJWnYBqFFxi03AjsJMopFEgsB2Mr2d++xGV5rF8MJME/YgOJQ85o8ZK9099r1+uuFV3DrJKvJxUIEejX/7qDWKWRigNE1Trrucmxs+oMpwJnJZ6qcaEsjEdYtdSSSPUfjY/dUrOrDIgYaxsSUPm6u+JjEZaT6LAdkbUjPSyNxP/87qpCa/8jMskNSjZYlGYCmJiMvubDLhCZsTEEsoUt7cSNqKKMmPTKdkQvOWXV0nrouq5Ve/uslK/zeMowgmcwjl4UIM63EADmsBgCM/wCm+OcF6cd+dj0Vpw8plj+APn8wcPTI2s</latexit>
<latexit sha1_base64="7RaOx2onYKwAEmM+c9KG/gafX24=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmO2mXbjZhdyOW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYng2rjut1NYW9/Y3Cpul3Z29/YPyodHLR2nimGTxSJWnYBqFFxi03AjsJMopFEgsB2Mr2d++xGV5rF8MJME/YgOJQ85o8ZK9099r1+uuFV3DrJKvJxUIEejX/7qDWKWRigNE1Trrucmxs+oMpwJnJZ6qcaEsjEdYtdSSSPUfjY/dUrOrDIgYaxsSUPm6u+JjEZaT6LAdkbUjPSyNxP/87qpCa/8jMskNSjZYlGYCmJiMvubDLhCZsTEEsoUt7cSNqKKMmPTKdkQvOWXV0nrouq5Ve/uslK/zeMowgmcwjl4UIM63EADmsBgCM/wCm+OcF6cd+dj0Vpw8plj+APn8wcPTI2s</latexit>
<latexit sha1_base64="7RaOx2onYKwAEmM+c9KG/gafX24=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmO2mXbjZhdyOW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYng2rjut1NYW9/Y3Cpul3Z29/YPyodHLR2nimGTxSJWnYBqFFxi03AjsJMopFEgsB2Mr2d++xGV5rF8MJME/YgOJQ85o8ZK9099r1+uuFV3DrJKvJxUIEejX/7qDWKWRigNE1Trrucmxs+oMpwJnJZ6qcaEsjEdYtdSSSPUfjY/dUrOrDIgYaxsSUPm6u+JjEZaT6LAdkbUjPSyNxP/87qpCa/8jMskNSjZYlGYCmJiMvubDLhCZsTEEsoUt7cSNqKKMmPTKdkQvOWXV0nrouq5Ve/uslK/zeMowgmcwjl4UIM63EADmsBgCM/wCm+OcF6cd+dj0Vpw8plj+APn8wcPTI2s</latexit>
<latexit sha1_base64="7RaOx2onYKwAEmM+c9KG/gafX24=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmO2mXbjZhdyOW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYng2rjut1NYW9/Y3Cpul3Z29/YPyodHLR2nimGTxSJWnYBqFFxi03AjsJMopFEgsB2Mr2d++xGV5rF8MJME/YgOJQ85o8ZK9099r1+uuFV3DrJKvJxUIEejX/7qDWKWRigNE1Trrucmxs+oMpwJnJZ6qcaEsjEdYtdSSSPUfjY/dUrOrDIgYaxsSUPm6u+JjEZaT6LAdkbUjPSyNxP/87qpCa/8jMskNSjZYlGYCmJiMvubDLhCZsTEEsoUt7cSNqKKMmPTKdkQvOWXV0nrouq5Ve/uslK/zeMowgmcwjl4UIM63EADmsBgCM/wCm+OcF6cd+dj0Vpw8plj+APn8wcPTI2s</latexit>
y1
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
· · ·
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
· · ·
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
yt, ht = f(xt, ht 1)
<latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit>
<latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit>
<latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit>
<latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit>
2. Review of RNNs
The RNN in code
2. Review of RNNs
(Adapted from http://karpathy.github.io/2015/05/21/rnn-effectiveness/)
A look at compute_next_h
2. Review of RNNs
xt
ht−1
( -dim)
nh
( -dim)
nx
ht
Whh
(nh × nh)
Wxh
(nh × nx)
( -dim)
nh
= dim of 

the RNN
nh
RNNs for many-to-one problems
2. Review of RNNs
RNNs for many-to-one problems
2. Review of RNNs
RNN
0.5
0.2
-0.1
-0.3
0.4
1.2
FC
Input Encoder
State at last
timestep Classifier Output
Architecture
Full Stack Deep Learning - UW Spring 2020
Questions?
22
RNNs for one-to-many problems
2. Review of RNNs
RNNs for one-to-many problems
2. Review of RNNs
ConvNet
(e.g.)
0.5
0.2
-0.1
-0.3
0.4
1.2
RNN
“The quick brown
fox jumped over
the lazy dog”
Input Encoder
Hidden
state Decoder Output
Encoder-decoder architectures
RNNs for one-to-many problems
2. Review of RNNs
h0
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
ConvNet
2. Review of RNNs
h0
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
y1
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
ConvNet
Using RNNs for one-to-many problems
2. Review of RNNs
h0
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
h1
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
y1
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
ConvNet
2. Review of RNNs
h0
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
h1
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
y1
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
ConvNet
y2
<latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit>
<latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit>
<latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit>
<latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit>
h2
<latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit>
<latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit>
<latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit>
<latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit>
2. Review of RNNs
ht
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
h0
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
h1
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
y1
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
ConvNet
· · ·
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
y2
<latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit>
<latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit>
<latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit>
<latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit>
h2
<latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit>
<latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit>
<latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit>
<latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit>
<s>
Special character
that tells the
network to stop
generating
Stop characters
Sequence loss functions
2. Review of RNNs
ht
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
<latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit>
h0
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
<latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit>
h1
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
<latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit>
ConvNet
h2
<latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit>
<latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit>
<latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit>
<latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit>
Sum of cross-
entropy losses on all
ground-truth terms
from the sequence
· · ·
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
<latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit>
<s>
y1
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
<latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit>
y2
<latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit>
<latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit>
<latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit>
<latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit>
ŷ1
<latexit sha1_base64="2lWcgiP0h4kgLgU2N6MEkSS65Y8=">AAAB8HicbVBNS8NAEJ3Ur1q/qh69BIvgqSQi6LHgxZNUsB/ShrLZbtqlu5uwOxFC6K/w4kERr/4cb/4bt20O2vpg4PHeDDPzwkRwg5737ZTW1jc2t8rblZ3dvf2D6uFR28SppqxFYxHrbkgME1yxFnIUrJtoRmQoWCec3Mz8zhPThsfqAbOEBZKMFI84JWilx/6YYJ5NB/6gWvPq3hzuKvELUoMCzUH1qz+MaSqZQiqIMT3fSzDIiUZOBZtW+qlhCaETMmI9SxWRzAT5/OCpe2aVoRvF2pZCd67+nsiJNCaToe2UBMdm2ZuJ/3m9FKPrIOcqSZEpulgUpcLF2J197w65ZhRFZgmhmttbXTommlC0GVVsCP7yy6ukfVH3vbp/f1lr3BVxlOEETuEcfLiCBtxCE1pAQcIzvMKbo50X5935WLSWnGLmGP7A+fwB4AGQeg==</latexit>
<latexit sha1_base64="2lWcgiP0h4kgLgU2N6MEkSS65Y8=">AAAB8HicbVBNS8NAEJ3Ur1q/qh69BIvgqSQi6LHgxZNUsB/ShrLZbtqlu5uwOxFC6K/w4kERr/4cb/4bt20O2vpg4PHeDDPzwkRwg5737ZTW1jc2t8rblZ3dvf2D6uFR28SppqxFYxHrbkgME1yxFnIUrJtoRmQoWCec3Mz8zhPThsfqAbOEBZKMFI84JWilx/6YYJ5NB/6gWvPq3hzuKvELUoMCzUH1qz+MaSqZQiqIMT3fSzDIiUZOBZtW+qlhCaETMmI9SxWRzAT5/OCpe2aVoRvF2pZCd67+nsiJNCaToe2UBMdm2ZuJ/3m9FKPrIOcqSZEpulgUpcLF2J197w65ZhRFZgmhmttbXTommlC0GVVsCP7yy6ukfVH3vbp/f1lr3BVxlOEETuEcfLiCBtxCE1pAQcIzvMKbo50X5935WLSWnGLmGP7A+fwB4AGQeg==</latexit>
<latexit sha1_base64="2lWcgiP0h4kgLgU2N6MEkSS65Y8=">AAAB8HicbVBNS8NAEJ3Ur1q/qh69BIvgqSQi6LHgxZNUsB/ShrLZbtqlu5uwOxFC6K/w4kERr/4cb/4bt20O2vpg4PHeDDPzwkRwg5737ZTW1jc2t8rblZ3dvf2D6uFR28SppqxFYxHrbkgME1yxFnIUrJtoRmQoWCec3Mz8zhPThsfqAbOEBZKMFI84JWilx/6YYJ5NB/6gWvPq3hzuKvELUoMCzUH1qz+MaSqZQiqIMT3fSzDIiUZOBZtW+qlhCaETMmI9SxWRzAT5/OCpe2aVoRvF2pZCd67+nsiJNCaToe2UBMdm2ZuJ/3m9FKPrIOcqSZEpulgUpcLF2J197w65ZhRFZgmhmttbXTommlC0GVVsCP7yy6ukfVH3vbp/f1lr3BVxlOEETuEcfLiCBtxCE1pAQcIzvMKbo50X5935WLSWnGLmGP7A+fwB4AGQeg==</latexit>
<latexit sha1_base64="2lWcgiP0h4kgLgU2N6MEkSS65Y8=">AAAB8HicbVBNS8NAEJ3Ur1q/qh69BIvgqSQi6LHgxZNUsB/ShrLZbtqlu5uwOxFC6K/w4kERr/4cb/4bt20O2vpg4PHeDDPzwkRwg5737ZTW1jc2t8rblZ3dvf2D6uFR28SppqxFYxHrbkgME1yxFnIUrJtoRmQoWCec3Mz8zhPThsfqAbOEBZKMFI84JWilx/6YYJ5NB/6gWvPq3hzuKvELUoMCzUH1qz+MaSqZQiqIMT3fSzDIiUZOBZtW+qlhCaETMmI9SxWRzAT5/OCpe2aVoRvF2pZCd67+nsiJNCaToe2UBMdm2ZuJ/3m9FKPrIOcqSZEpulgUpcLF2J197w65ZhRFZgmhmttbXTommlC0GVVsCP7yy6ukfVH3vbp/f1lr3BVxlOEETuEcfLiCBtxCE1pAQcIzvMKbo50X5935WLSWnGLmGP7A+fwB4AGQeg==</latexit>
ŷ2
<latexit sha1_base64="xv6cKJ6fvDA+vYfI84d1MIPS0CY=">AAAB8HicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2A9pQ9lsN+3SzSbsToQQ+iu8eFDEqz/Hm//GbZuDtj4YeLw3w8y8IJHCoOt+O2vrG5tb26Wd8u7e/sFh5ei4beJUM95isYx1N6CGS6F4CwVK3k00p1EgeSeY3Mz8zhPXRsTqAbOE+xEdKREKRtFKj/0xxTybDuqDStWtuXOQVeIVpAoFmoPKV38YszTiCpmkxvQ8N0E/pxoFk3xa7qeGJ5RN6Ij3LFU04sbP5wdPyblVhiSMtS2FZK7+nshpZEwWBbYzojg2y95M/M/rpRhe+7lQSYpcscWiMJUEYzL7ngyF5gxlZgllWthbCRtTTRnajMo2BG/55VXSrtc8t+bdX1Ybd0UcJTiFM7gAD66gAbfQhBYwiOAZXuHN0c6L8+58LFrXnGLmBP7A+fwB4YWQew==</latexit>
<latexit sha1_base64="xv6cKJ6fvDA+vYfI84d1MIPS0CY=">AAAB8HicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2A9pQ9lsN+3SzSbsToQQ+iu8eFDEqz/Hm//GbZuDtj4YeLw3w8y8IJHCoOt+O2vrG5tb26Wd8u7e/sFh5ei4beJUM95isYx1N6CGS6F4CwVK3k00p1EgeSeY3Mz8zhPXRsTqAbOE+xEdKREKRtFKj/0xxTybDuqDStWtuXOQVeIVpAoFmoPKV38YszTiCpmkxvQ8N0E/pxoFk3xa7qeGJ5RN6Ij3LFU04sbP5wdPyblVhiSMtS2FZK7+nshpZEwWBbYzojg2y95M/M/rpRhe+7lQSYpcscWiMJUEYzL7ngyF5gxlZgllWthbCRtTTRnajMo2BG/55VXSrtc8t+bdX1Ybd0UcJTiFM7gAD66gAbfQhBYwiOAZXuHN0c6L8+58LFrXnGLmBP7A+fwB4YWQew==</latexit>
<latexit sha1_base64="xv6cKJ6fvDA+vYfI84d1MIPS0CY=">AAAB8HicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2A9pQ9lsN+3SzSbsToQQ+iu8eFDEqz/Hm//GbZuDtj4YeLw3w8y8IJHCoOt+O2vrG5tb26Wd8u7e/sFh5ei4beJUM95isYx1N6CGS6F4CwVK3k00p1EgeSeY3Mz8zhPXRsTqAbOE+xEdKREKRtFKj/0xxTybDuqDStWtuXOQVeIVpAoFmoPKV38YszTiCpmkxvQ8N0E/pxoFk3xa7qeGJ5RN6Ij3LFU04sbP5wdPyblVhiSMtS2FZK7+nshpZEwWBbYzojg2y95M/M/rpRhe+7lQSYpcscWiMJUEYzL7ngyF5gxlZgllWthbCRtTTRnajMo2BG/55VXSrtc8t+bdX1Ybd0UcJTiFM7gAD66gAbfQhBYwiOAZXuHN0c6L8+58LFrXnGLmBP7A+fwB4YWQew==</latexit>
<latexit sha1_base64="xv6cKJ6fvDA+vYfI84d1MIPS0CY=">AAAB8HicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2A9pQ9lsN+3SzSbsToQQ+iu8eFDEqz/Hm//GbZuDtj4YeLw3w8y8IJHCoOt+O2vrG5tb26Wd8u7e/sFh5ei4beJUM95isYx1N6CGS6F4CwVK3k00p1EgeSeY3Mz8zhPXRsTqAbOE+xEdKREKRtFKj/0xxTybDuqDStWtuXOQVeIVpAoFmoPKV38YszTiCpmkxvQ8N0E/pxoFk3xa7qeGJ5RN6Ij3LFU04sbP5wdPyblVhiSMtS2FZK7+nshpZEwWBbYzojg2y95M/M/rpRhe+7lQSYpcscWiMJUEYzL7ngyF5gxlZgllWthbCRtTTRnajMo2BG/55VXSrtc8t+bdX1Ybd0UcJTiFM7gAD66gAbfQhBYwiOAZXuHN0c6L8+58LFrXnGLmBP7A+fwB4YWQew==</latexit>
Full Stack Deep Learning - UW Spring 2020
Questions?
31
2. Review of RNNs
RNN
0.5
0.2
-0.1
-0.3
0.4
1.2
RNN
Input Encoder
Hidden
state Decoder Output
Encoder-decoder architectures
“I am a
student”
“Je suis
étudient”
RNNs for many-to-many problems
I am a student <s>
Je suis étudiant <s>
RNNs for many-to-many problems
2. Review of RNNs
I am a student <s>
Je suis étudiant <s>
RNNs for many-to-many problems
2. Review of RNNs
All the information in the
input sentence is
condensed into one
hidden state vector!
(In practice, we need
more tricks for this to
work -- explained soon)
Agenda
1. Sequence Problems

2. RNNs

3. Vanishing gradients and LSTMs
4. Case study: Machine Translation

(Bidirectionality and Attention)

5. CTC loss

6. Pros and Cons

7. A preview of non-recurrent sequence models
RNN Desiderata
• Goal: handle long sequences

• Connect events from the past to outcomes
in the future

• i.e., Long-term dependencies

• e.g., remember the name of a character
from the first sentence
3. Vanishing gradients
Vanilla RNNs: the reality
• Can’t handle more than 10-20 timesteps

• Longer-term dependencies get lost

• Why? Vanishing gradients
3. Vanishing gradients
https://bair.berkeley.edu/blog/2018/08/06/recurrent/
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021
Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021

More Related Content

What's hot

Lecture 6: Infrastructure & Tooling (Full Stack Deep Learning - Spring 2021)
Lecture 6: Infrastructure & Tooling (Full Stack Deep Learning - Spring 2021)Lecture 6: Infrastructure & Tooling (Full Stack Deep Learning - Spring 2021)
Lecture 6: Infrastructure & Tooling (Full Stack Deep Learning - Spring 2021)Sergey Karayev
 
Lecture 12: Research Directions (Full Stack Deep Learning - Spring 2021)
Lecture 12: Research Directions (Full Stack Deep Learning - Spring 2021)Lecture 12: Research Directions (Full Stack Deep Learning - Spring 2021)
Lecture 12: Research Directions (Full Stack Deep Learning - Spring 2021)Sergey Karayev
 
Lecture 9: AI Ethics (Full Stack Deep Learning - Spring 2021)
Lecture 9: AI Ethics (Full Stack Deep Learning - Spring 2021)Lecture 9: AI Ethics (Full Stack Deep Learning - Spring 2021)
Lecture 9: AI Ethics (Full Stack Deep Learning - Spring 2021)Sergey Karayev
 
Lecture 10: ML Testing & Explainability (Full Stack Deep Learning - Spring 2021)
Lecture 10: ML Testing & Explainability (Full Stack Deep Learning - Spring 2021)Lecture 10: ML Testing & Explainability (Full Stack Deep Learning - Spring 2021)
Lecture 10: ML Testing & Explainability (Full Stack Deep Learning - Spring 2021)Sergey Karayev
 
Building Continuous Learning Systems
Building Continuous Learning SystemsBuilding Continuous Learning Systems
Building Continuous Learning SystemsAnuj Gupta
 
Troubleshooting Deep Neural Networks - Full Stack Deep Learning
Troubleshooting Deep Neural Networks - Full Stack Deep LearningTroubleshooting Deep Neural Networks - Full Stack Deep Learning
Troubleshooting Deep Neural Networks - Full Stack Deep LearningSergey Karayev
 
Synthetic Gradients - Decoupling Layers of a Neural Nets
Synthetic Gradients - Decoupling Layers of a Neural NetsSynthetic Gradients - Decoupling Layers of a Neural Nets
Synthetic Gradients - Decoupling Layers of a Neural NetsAnuj Gupta
 
Attentional Object Detection - introductory slides.
Attentional Object Detection - introductory slides.Attentional Object Detection - introductory slides.
Attentional Object Detection - introductory slides.Sergey Karayev
 
Lecture 13: ML Teams (Full Stack Deep Learning - Spring 2021)
Lecture 13: ML Teams (Full Stack Deep Learning - Spring 2021)Lecture 13: ML Teams (Full Stack Deep Learning - Spring 2021)
Lecture 13: ML Teams (Full Stack Deep Learning - Spring 2021)Sergey Karayev
 
Test-Driven Machine Learning
Test-Driven Machine LearningTest-Driven Machine Learning
Test-Driven Machine LearningC4Media
 
Comparison of Fine-tuning and Extension Strategies for Deep Convolutional Neu...
Comparison of Fine-tuning and Extension Strategies for Deep Convolutional Neu...Comparison of Fine-tuning and Extension Strategies for Deep Convolutional Neu...
Comparison of Fine-tuning and Extension Strategies for Deep Convolutional Neu...InVID Project
 
Mis 589 Massive Success / snaptutorial.com
Mis 589 Massive Success / snaptutorial.comMis 589 Massive Success / snaptutorial.com
Mis 589 Massive Success / snaptutorial.comStephenson185
 
Deep Learning with Python (PyData Seattle 2015)
Deep Learning with Python (PyData Seattle 2015)Deep Learning with Python (PyData Seattle 2015)
Deep Learning with Python (PyData Seattle 2015)Alexander Korbonits
 
Practical Deep Learning for NLP
Practical Deep Learning for NLP Practical Deep Learning for NLP
Practical Deep Learning for NLP Textkernel
 
Towards Set Learning and Prediction - Laura Leal-Taixe - UPC Barcelona 2018
Towards Set Learning and Prediction - Laura Leal-Taixe - UPC Barcelona 2018Towards Set Learning and Prediction - Laura Leal-Taixe - UPC Barcelona 2018
Towards Set Learning and Prediction - Laura Leal-Taixe - UPC Barcelona 2018Universitat Politècnica de Catalunya
 
Embed, Encode, Attend, Predict – applying the 4 step NLP recipe for text clas...
Embed, Encode, Attend, Predict – applying the 4 step NLP recipe for text clas...Embed, Encode, Attend, Predict – applying the 4 step NLP recipe for text clas...
Embed, Encode, Attend, Predict – applying the 4 step NLP recipe for text clas...Sujit Pal
 
The effect of distributed archetypes on complexity theory
The effect of distributed archetypes on complexity theoryThe effect of distributed archetypes on complexity theory
The effect of distributed archetypes on complexity theoryVinícius Uchôa
 
RuleML2015: Using PSL to Extend and Evaluate Event Ontologies
RuleML2015: Using PSL to Extend and Evaluate Event OntologiesRuleML2015: Using PSL to Extend and Evaluate Event Ontologies
RuleML2015: Using PSL to Extend and Evaluate Event OntologiesRuleML
 

What's hot (20)

Lecture 6: Infrastructure & Tooling (Full Stack Deep Learning - Spring 2021)
Lecture 6: Infrastructure & Tooling (Full Stack Deep Learning - Spring 2021)Lecture 6: Infrastructure & Tooling (Full Stack Deep Learning - Spring 2021)
Lecture 6: Infrastructure & Tooling (Full Stack Deep Learning - Spring 2021)
 
Lecture 12: Research Directions (Full Stack Deep Learning - Spring 2021)
Lecture 12: Research Directions (Full Stack Deep Learning - Spring 2021)Lecture 12: Research Directions (Full Stack Deep Learning - Spring 2021)
Lecture 12: Research Directions (Full Stack Deep Learning - Spring 2021)
 
Lecture 9: AI Ethics (Full Stack Deep Learning - Spring 2021)
Lecture 9: AI Ethics (Full Stack Deep Learning - Spring 2021)Lecture 9: AI Ethics (Full Stack Deep Learning - Spring 2021)
Lecture 9: AI Ethics (Full Stack Deep Learning - Spring 2021)
 
Lecture 10: ML Testing & Explainability (Full Stack Deep Learning - Spring 2021)
Lecture 10: ML Testing & Explainability (Full Stack Deep Learning - Spring 2021)Lecture 10: ML Testing & Explainability (Full Stack Deep Learning - Spring 2021)
Lecture 10: ML Testing & Explainability (Full Stack Deep Learning - Spring 2021)
 
Building Continuous Learning Systems
Building Continuous Learning SystemsBuilding Continuous Learning Systems
Building Continuous Learning Systems
 
Troubleshooting Deep Neural Networks - Full Stack Deep Learning
Troubleshooting Deep Neural Networks - Full Stack Deep LearningTroubleshooting Deep Neural Networks - Full Stack Deep Learning
Troubleshooting Deep Neural Networks - Full Stack Deep Learning
 
Synthetic Gradients - Decoupling Layers of a Neural Nets
Synthetic Gradients - Decoupling Layers of a Neural NetsSynthetic Gradients - Decoupling Layers of a Neural Nets
Synthetic Gradients - Decoupling Layers of a Neural Nets
 
Attentional Object Detection - introductory slides.
Attentional Object Detection - introductory slides.Attentional Object Detection - introductory slides.
Attentional Object Detection - introductory slides.
 
Lecture 13: ML Teams (Full Stack Deep Learning - Spring 2021)
Lecture 13: ML Teams (Full Stack Deep Learning - Spring 2021)Lecture 13: ML Teams (Full Stack Deep Learning - Spring 2021)
Lecture 13: ML Teams (Full Stack Deep Learning - Spring 2021)
 
Test-Driven Machine Learning
Test-Driven Machine LearningTest-Driven Machine Learning
Test-Driven Machine Learning
 
Comparison of Fine-tuning and Extension Strategies for Deep Convolutional Neu...
Comparison of Fine-tuning and Extension Strategies for Deep Convolutional Neu...Comparison of Fine-tuning and Extension Strategies for Deep Convolutional Neu...
Comparison of Fine-tuning and Extension Strategies for Deep Convolutional Neu...
 
Mis 589 Massive Success / snaptutorial.com
Mis 589 Massive Success / snaptutorial.comMis 589 Massive Success / snaptutorial.com
Mis 589 Massive Success / snaptutorial.com
 
Deep Learning with Python (PyData Seattle 2015)
Deep Learning with Python (PyData Seattle 2015)Deep Learning with Python (PyData Seattle 2015)
Deep Learning with Python (PyData Seattle 2015)
 
Practical Deep Learning for NLP
Practical Deep Learning for NLP Practical Deep Learning for NLP
Practical Deep Learning for NLP
 
Video Object Segmentation - Laura Leal-Taixé - UPC Barcelona 2018
Video Object Segmentation - Laura Leal-Taixé - UPC Barcelona 2018Video Object Segmentation - Laura Leal-Taixé - UPC Barcelona 2018
Video Object Segmentation - Laura Leal-Taixé - UPC Barcelona 2018
 
Towards Set Learning and Prediction - Laura Leal-Taixe - UPC Barcelona 2018
Towards Set Learning and Prediction - Laura Leal-Taixe - UPC Barcelona 2018Towards Set Learning and Prediction - Laura Leal-Taixe - UPC Barcelona 2018
Towards Set Learning and Prediction - Laura Leal-Taixe - UPC Barcelona 2018
 
Embed, Encode, Attend, Predict – applying the 4 step NLP recipe for text clas...
Embed, Encode, Attend, Predict – applying the 4 step NLP recipe for text clas...Embed, Encode, Attend, Predict – applying the 4 step NLP recipe for text clas...
Embed, Encode, Attend, Predict – applying the 4 step NLP recipe for text clas...
 
Multiple Object Tracking - Laura Leal-Taixe - UPC Barcelona 2018
Multiple Object Tracking - Laura Leal-Taixe - UPC Barcelona 2018Multiple Object Tracking - Laura Leal-Taixe - UPC Barcelona 2018
Multiple Object Tracking - Laura Leal-Taixe - UPC Barcelona 2018
 
The effect of distributed archetypes on complexity theory
The effect of distributed archetypes on complexity theoryThe effect of distributed archetypes on complexity theory
The effect of distributed archetypes on complexity theory
 
RuleML2015: Using PSL to Extend and Evaluate Event Ontologies
RuleML2015: Using PSL to Extend and Evaluate Event OntologiesRuleML2015: Using PSL to Extend and Evaluate Event Ontologies
RuleML2015: Using PSL to Extend and Evaluate Event Ontologies
 

Similar to Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021

Temporal Hypermap Theory and Application
Temporal Hypermap Theory and ApplicationTemporal Hypermap Theory and Application
Temporal Hypermap Theory and ApplicationAbel Nyamapfene
 
Deep learning for NLP and Transformer
 Deep learning for NLP  and Transformer Deep learning for NLP  and Transformer
Deep learning for NLP and TransformerArvind Devaraj
 
Convolutional Neural Networks for Natural Language Processing / Stanford cs22...
Convolutional Neural Networks for Natural Language Processing / Stanford cs22...Convolutional Neural Networks for Natural Language Processing / Stanford cs22...
Convolutional Neural Networks for Natural Language Processing / Stanford cs22...changedaeoh
 
Recurrent Neural Network (RNN) | RNN LSTM Tutorial | Deep Learning Course | S...
Recurrent Neural Network (RNN) | RNN LSTM Tutorial | Deep Learning Course | S...Recurrent Neural Network (RNN) | RNN LSTM Tutorial | Deep Learning Course | S...
Recurrent Neural Network (RNN) | RNN LSTM Tutorial | Deep Learning Course | S...Simplilearn
 
NLP using transformers
NLP using transformers NLP using transformers
NLP using transformers Arvind Devaraj
 
A tutorial on deep learning at icml 2013
A tutorial on deep learning at icml 2013A tutorial on deep learning at icml 2013
A tutorial on deep learning at icml 2013Philip Zheng
 
Introduction to deep learning
Introduction to deep learningIntroduction to deep learning
Introduction to deep learningJunaid Bhat
 
Kernel analysis of deep networks
Kernel analysis of deep networksKernel analysis of deep networks
Kernel analysis of deep networksBehrang Mehrparvar
 
Engineering Intelligent NLP Applications Using Deep Learning – Part 2
Engineering Intelligent NLP Applications Using Deep Learning – Part 2 Engineering Intelligent NLP Applications Using Deep Learning – Part 2
Engineering Intelligent NLP Applications Using Deep Learning – Part 2 Saurabh Kaushik
 
Deep Learning Enabled Question Answering System to Automate Corporate Helpdesk
Deep Learning Enabled Question Answering System to Automate Corporate HelpdeskDeep Learning Enabled Question Answering System to Automate Corporate Helpdesk
Deep Learning Enabled Question Answering System to Automate Corporate HelpdeskSaurabh Saxena
 
Deep learning - Chatbot
Deep learning - ChatbotDeep learning - Chatbot
Deep learning - ChatbotLiam Bui
 
Recurrent Neural Networks for Text Analysis
Recurrent Neural Networks for Text AnalysisRecurrent Neural Networks for Text Analysis
Recurrent Neural Networks for Text Analysisodsc
 
Devoxx traitement automatique du langage sur du texte en 2019
Devoxx   traitement automatique du langage sur du texte en 2019 Devoxx   traitement automatique du langage sur du texte en 2019
Devoxx traitement automatique du langage sur du texte en 2019 Alexis Agahi
 
Deep learning from a novice perspective
Deep learning from a novice perspectiveDeep learning from a novice perspective
Deep learning from a novice perspectiveAnirban Santara
 
IRJET- Survey on Generating Suggestions for Erroneous Part in a Sentence
IRJET- Survey on Generating Suggestions for Erroneous Part in a SentenceIRJET- Survey on Generating Suggestions for Erroneous Part in a Sentence
IRJET- Survey on Generating Suggestions for Erroneous Part in a SentenceIRJET Journal
 
Learning to Search Henry Kautz
Learning to Search Henry KautzLearning to Search Henry Kautz
Learning to Search Henry Kautzbutest
 
Learning to Search Henry Kautz
Learning to Search Henry KautzLearning to Search Henry Kautz
Learning to Search Henry Kautzbutest
 

Similar to Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021 (20)

Temporal Hypermap Theory and Application
Temporal Hypermap Theory and ApplicationTemporal Hypermap Theory and Application
Temporal Hypermap Theory and Application
 
Deep learning for NLP and Transformer
 Deep learning for NLP  and Transformer Deep learning for NLP  and Transformer
Deep learning for NLP and Transformer
 
Convolutional Neural Networks for Natural Language Processing / Stanford cs22...
Convolutional Neural Networks for Natural Language Processing / Stanford cs22...Convolutional Neural Networks for Natural Language Processing / Stanford cs22...
Convolutional Neural Networks for Natural Language Processing / Stanford cs22...
 
Rnn & Lstm
Rnn & LstmRnn & Lstm
Rnn & Lstm
 
Recurrent Neural Network (RNN) | RNN LSTM Tutorial | Deep Learning Course | S...
Recurrent Neural Network (RNN) | RNN LSTM Tutorial | Deep Learning Course | S...Recurrent Neural Network (RNN) | RNN LSTM Tutorial | Deep Learning Course | S...
Recurrent Neural Network (RNN) | RNN LSTM Tutorial | Deep Learning Course | S...
 
NLP using transformers
NLP using transformers NLP using transformers
NLP using transformers
 
A tutorial on deep learning at icml 2013
A tutorial on deep learning at icml 2013A tutorial on deep learning at icml 2013
A tutorial on deep learning at icml 2013
 
Introduction to deep learning
Introduction to deep learningIntroduction to deep learning
Introduction to deep learning
 
Transformers AI PPT.pptx
Transformers AI PPT.pptxTransformers AI PPT.pptx
Transformers AI PPT.pptx
 
Kernel analysis of deep networks
Kernel analysis of deep networksKernel analysis of deep networks
Kernel analysis of deep networks
 
Engineering Intelligent NLP Applications Using Deep Learning – Part 2
Engineering Intelligent NLP Applications Using Deep Learning – Part 2 Engineering Intelligent NLP Applications Using Deep Learning – Part 2
Engineering Intelligent NLP Applications Using Deep Learning – Part 2
 
Deep Learning Enabled Question Answering System to Automate Corporate Helpdesk
Deep Learning Enabled Question Answering System to Automate Corporate HelpdeskDeep Learning Enabled Question Answering System to Automate Corporate Helpdesk
Deep Learning Enabled Question Answering System to Automate Corporate Helpdesk
 
haenelt.ppt
haenelt.ppthaenelt.ppt
haenelt.ppt
 
Deep learning - Chatbot
Deep learning - ChatbotDeep learning - Chatbot
Deep learning - Chatbot
 
Recurrent Neural Networks for Text Analysis
Recurrent Neural Networks for Text AnalysisRecurrent Neural Networks for Text Analysis
Recurrent Neural Networks for Text Analysis
 
Devoxx traitement automatique du langage sur du texte en 2019
Devoxx   traitement automatique du langage sur du texte en 2019 Devoxx   traitement automatique du langage sur du texte en 2019
Devoxx traitement automatique du langage sur du texte en 2019
 
Deep learning from a novice perspective
Deep learning from a novice perspectiveDeep learning from a novice perspective
Deep learning from a novice perspective
 
IRJET- Survey on Generating Suggestions for Erroneous Part in a Sentence
IRJET- Survey on Generating Suggestions for Erroneous Part in a SentenceIRJET- Survey on Generating Suggestions for Erroneous Part in a Sentence
IRJET- Survey on Generating Suggestions for Erroneous Part in a Sentence
 
Learning to Search Henry Kautz
Learning to Search Henry KautzLearning to Search Henry Kautz
Learning to Search Henry Kautz
 
Learning to Search Henry Kautz
Learning to Search Henry KautzLearning to Search Henry Kautz
Learning to Search Henry Kautz
 

More from Sergey Karayev

Lecture 11: ML Deployment & Monitoring (Full Stack Deep Learning - Spring 2021)
Lecture 11: ML Deployment & Monitoring (Full Stack Deep Learning - Spring 2021)Lecture 11: ML Deployment & Monitoring (Full Stack Deep Learning - Spring 2021)
Lecture 11: ML Deployment & Monitoring (Full Stack Deep Learning - Spring 2021)Sergey Karayev
 
Data Management - Full Stack Deep Learning
Data Management - Full Stack Deep LearningData Management - Full Stack Deep Learning
Data Management - Full Stack Deep LearningSergey Karayev
 
Testing and Deployment - Full Stack Deep Learning
Testing and Deployment - Full Stack Deep LearningTesting and Deployment - Full Stack Deep Learning
Testing and Deployment - Full Stack Deep LearningSergey Karayev
 
Machine Learning Teams - Full Stack Deep Learning
Machine Learning Teams - Full Stack Deep LearningMachine Learning Teams - Full Stack Deep Learning
Machine Learning Teams - Full Stack Deep LearningSergey Karayev
 
Setting up Machine Learning Projects - Full Stack Deep Learning
Setting up Machine Learning Projects - Full Stack Deep LearningSetting up Machine Learning Projects - Full Stack Deep Learning
Setting up Machine Learning Projects - Full Stack Deep LearningSergey Karayev
 
Research Directions - Full Stack Deep Learning
Research Directions - Full Stack Deep LearningResearch Directions - Full Stack Deep Learning
Research Directions - Full Stack Deep LearningSergey Karayev
 
Infrastructure and Tooling - Full Stack Deep Learning
Infrastructure and Tooling - Full Stack Deep LearningInfrastructure and Tooling - Full Stack Deep Learning
Infrastructure and Tooling - Full Stack Deep LearningSergey Karayev
 
AI Masterclass at ASU GSV 2019
AI Masterclass at ASU GSV 2019AI Masterclass at ASU GSV 2019
AI Masterclass at ASU GSV 2019Sergey Karayev
 

More from Sergey Karayev (8)

Lecture 11: ML Deployment & Monitoring (Full Stack Deep Learning - Spring 2021)
Lecture 11: ML Deployment & Monitoring (Full Stack Deep Learning - Spring 2021)Lecture 11: ML Deployment & Monitoring (Full Stack Deep Learning - Spring 2021)
Lecture 11: ML Deployment & Monitoring (Full Stack Deep Learning - Spring 2021)
 
Data Management - Full Stack Deep Learning
Data Management - Full Stack Deep LearningData Management - Full Stack Deep Learning
Data Management - Full Stack Deep Learning
 
Testing and Deployment - Full Stack Deep Learning
Testing and Deployment - Full Stack Deep LearningTesting and Deployment - Full Stack Deep Learning
Testing and Deployment - Full Stack Deep Learning
 
Machine Learning Teams - Full Stack Deep Learning
Machine Learning Teams - Full Stack Deep LearningMachine Learning Teams - Full Stack Deep Learning
Machine Learning Teams - Full Stack Deep Learning
 
Setting up Machine Learning Projects - Full Stack Deep Learning
Setting up Machine Learning Projects - Full Stack Deep LearningSetting up Machine Learning Projects - Full Stack Deep Learning
Setting up Machine Learning Projects - Full Stack Deep Learning
 
Research Directions - Full Stack Deep Learning
Research Directions - Full Stack Deep LearningResearch Directions - Full Stack Deep Learning
Research Directions - Full Stack Deep Learning
 
Infrastructure and Tooling - Full Stack Deep Learning
Infrastructure and Tooling - Full Stack Deep LearningInfrastructure and Tooling - Full Stack Deep Learning
Infrastructure and Tooling - Full Stack Deep Learning
 
AI Masterclass at ASU GSV 2019
AI Masterclass at ASU GSV 2019AI Masterclass at ASU GSV 2019
AI Masterclass at ASU GSV 2019
 

Recently uploaded

WordPress Websites for Engineers: Elevate Your Brand
WordPress Websites for Engineers: Elevate Your BrandWordPress Websites for Engineers: Elevate Your Brand
WordPress Websites for Engineers: Elevate Your Brandgvaughan
 
My INSURER PTE LTD - Insurtech Innovation Award 2024
My INSURER PTE LTD - Insurtech Innovation Award 2024My INSURER PTE LTD - Insurtech Innovation Award 2024
My INSURER PTE LTD - Insurtech Innovation Award 2024The Digital Insurer
 
Key Features Of Token Development (1).pptx
Key  Features Of Token  Development (1).pptxKey  Features Of Token  Development (1).pptx
Key Features Of Token Development (1).pptxLBM Solutions
 
Benefits Of Flutter Compared To Other Frameworks
Benefits Of Flutter Compared To Other FrameworksBenefits Of Flutter Compared To Other Frameworks
Benefits Of Flutter Compared To Other FrameworksSoftradix Technologies
 
Unblocking The Main Thread Solving ANRs and Frozen Frames
Unblocking The Main Thread Solving ANRs and Frozen FramesUnblocking The Main Thread Solving ANRs and Frozen Frames
Unblocking The Main Thread Solving ANRs and Frozen FramesSinan KOZAK
 
Install Stable Diffusion in windows machine
Install Stable Diffusion in windows machineInstall Stable Diffusion in windows machine
Install Stable Diffusion in windows machinePadma Pradeep
 
APIForce Zurich 5 April Automation LPDG
APIForce Zurich 5 April  Automation LPDGAPIForce Zurich 5 April  Automation LPDG
APIForce Zurich 5 April Automation LPDGMarianaLemus7
 
Pigging Solutions Piggable Sweeping Elbows
Pigging Solutions Piggable Sweeping ElbowsPigging Solutions Piggable Sweeping Elbows
Pigging Solutions Piggable Sweeping ElbowsPigging Solutions
 
"Debugging python applications inside k8s environment", Andrii Soldatenko
"Debugging python applications inside k8s environment", Andrii Soldatenko"Debugging python applications inside k8s environment", Andrii Soldatenko
"Debugging python applications inside k8s environment", Andrii SoldatenkoFwdays
 
Integration and Automation in Practice: CI/CD in Mule Integration and Automat...
Integration and Automation in Practice: CI/CD in Mule Integration and Automat...Integration and Automation in Practice: CI/CD in Mule Integration and Automat...
Integration and Automation in Practice: CI/CD in Mule Integration and Automat...Patryk Bandurski
 
"Federated learning: out of reach no matter how close",Oleksandr Lapshyn
"Federated learning: out of reach no matter how close",Oleksandr Lapshyn"Federated learning: out of reach no matter how close",Oleksandr Lapshyn
"Federated learning: out of reach no matter how close",Oleksandr LapshynFwdays
 
SIP trunking in Janus @ Kamailio World 2024
SIP trunking in Janus @ Kamailio World 2024SIP trunking in Janus @ Kamailio World 2024
SIP trunking in Janus @ Kamailio World 2024Lorenzo Miniero
 
Scanning the Internet for External Cloud Exposures via SSL Certs
Scanning the Internet for External Cloud Exposures via SSL CertsScanning the Internet for External Cloud Exposures via SSL Certs
Scanning the Internet for External Cloud Exposures via SSL CertsRizwan Syed
 
Human Factors of XR: Using Human Factors to Design XR Systems
Human Factors of XR: Using Human Factors to Design XR SystemsHuman Factors of XR: Using Human Factors to Design XR Systems
Human Factors of XR: Using Human Factors to Design XR SystemsMark Billinghurst
 
Advanced Test Driven-Development @ php[tek] 2024
Advanced Test Driven-Development @ php[tek] 2024Advanced Test Driven-Development @ php[tek] 2024
Advanced Test Driven-Development @ php[tek] 2024Scott Keck-Warren
 
Science&tech:THE INFORMATION AGE STS.pdf
Science&tech:THE INFORMATION AGE STS.pdfScience&tech:THE INFORMATION AGE STS.pdf
Science&tech:THE INFORMATION AGE STS.pdfjimielynbastida
 
Automating Business Process via MuleSoft Composer | Bangalore MuleSoft Meetup...
Automating Business Process via MuleSoft Composer | Bangalore MuleSoft Meetup...Automating Business Process via MuleSoft Composer | Bangalore MuleSoft Meetup...
Automating Business Process via MuleSoft Composer | Bangalore MuleSoft Meetup...shyamraj55
 
My Hashitalk Indonesia April 2024 Presentation
My Hashitalk Indonesia April 2024 PresentationMy Hashitalk Indonesia April 2024 Presentation
My Hashitalk Indonesia April 2024 PresentationRidwan Fadjar
 
Designing IA for AI - Information Architecture Conference 2024
Designing IA for AI - Information Architecture Conference 2024Designing IA for AI - Information Architecture Conference 2024
Designing IA for AI - Information Architecture Conference 2024Enterprise Knowledge
 

Recently uploaded (20)

WordPress Websites for Engineers: Elevate Your Brand
WordPress Websites for Engineers: Elevate Your BrandWordPress Websites for Engineers: Elevate Your Brand
WordPress Websites for Engineers: Elevate Your Brand
 
My INSURER PTE LTD - Insurtech Innovation Award 2024
My INSURER PTE LTD - Insurtech Innovation Award 2024My INSURER PTE LTD - Insurtech Innovation Award 2024
My INSURER PTE LTD - Insurtech Innovation Award 2024
 
Key Features Of Token Development (1).pptx
Key  Features Of Token  Development (1).pptxKey  Features Of Token  Development (1).pptx
Key Features Of Token Development (1).pptx
 
Benefits Of Flutter Compared To Other Frameworks
Benefits Of Flutter Compared To Other FrameworksBenefits Of Flutter Compared To Other Frameworks
Benefits Of Flutter Compared To Other Frameworks
 
Unblocking The Main Thread Solving ANRs and Frozen Frames
Unblocking The Main Thread Solving ANRs and Frozen FramesUnblocking The Main Thread Solving ANRs and Frozen Frames
Unblocking The Main Thread Solving ANRs and Frozen Frames
 
Install Stable Diffusion in windows machine
Install Stable Diffusion in windows machineInstall Stable Diffusion in windows machine
Install Stable Diffusion in windows machine
 
APIForce Zurich 5 April Automation LPDG
APIForce Zurich 5 April  Automation LPDGAPIForce Zurich 5 April  Automation LPDG
APIForce Zurich 5 April Automation LPDG
 
Pigging Solutions Piggable Sweeping Elbows
Pigging Solutions Piggable Sweeping ElbowsPigging Solutions Piggable Sweeping Elbows
Pigging Solutions Piggable Sweeping Elbows
 
"Debugging python applications inside k8s environment", Andrii Soldatenko
"Debugging python applications inside k8s environment", Andrii Soldatenko"Debugging python applications inside k8s environment", Andrii Soldatenko
"Debugging python applications inside k8s environment", Andrii Soldatenko
 
Integration and Automation in Practice: CI/CD in Mule Integration and Automat...
Integration and Automation in Practice: CI/CD in Mule Integration and Automat...Integration and Automation in Practice: CI/CD in Mule Integration and Automat...
Integration and Automation in Practice: CI/CD in Mule Integration and Automat...
 
"Federated learning: out of reach no matter how close",Oleksandr Lapshyn
"Federated learning: out of reach no matter how close",Oleksandr Lapshyn"Federated learning: out of reach no matter how close",Oleksandr Lapshyn
"Federated learning: out of reach no matter how close",Oleksandr Lapshyn
 
SIP trunking in Janus @ Kamailio World 2024
SIP trunking in Janus @ Kamailio World 2024SIP trunking in Janus @ Kamailio World 2024
SIP trunking in Janus @ Kamailio World 2024
 
Scanning the Internet for External Cloud Exposures via SSL Certs
Scanning the Internet for External Cloud Exposures via SSL CertsScanning the Internet for External Cloud Exposures via SSL Certs
Scanning the Internet for External Cloud Exposures via SSL Certs
 
DMCC Future of Trade Web3 - Special Edition
DMCC Future of Trade Web3 - Special EditionDMCC Future of Trade Web3 - Special Edition
DMCC Future of Trade Web3 - Special Edition
 
Human Factors of XR: Using Human Factors to Design XR Systems
Human Factors of XR: Using Human Factors to Design XR SystemsHuman Factors of XR: Using Human Factors to Design XR Systems
Human Factors of XR: Using Human Factors to Design XR Systems
 
Advanced Test Driven-Development @ php[tek] 2024
Advanced Test Driven-Development @ php[tek] 2024Advanced Test Driven-Development @ php[tek] 2024
Advanced Test Driven-Development @ php[tek] 2024
 
Science&tech:THE INFORMATION AGE STS.pdf
Science&tech:THE INFORMATION AGE STS.pdfScience&tech:THE INFORMATION AGE STS.pdf
Science&tech:THE INFORMATION AGE STS.pdf
 
Automating Business Process via MuleSoft Composer | Bangalore MuleSoft Meetup...
Automating Business Process via MuleSoft Composer | Bangalore MuleSoft Meetup...Automating Business Process via MuleSoft Composer | Bangalore MuleSoft Meetup...
Automating Business Process via MuleSoft Composer | Bangalore MuleSoft Meetup...
 
My Hashitalk Indonesia April 2024 Presentation
My Hashitalk Indonesia April 2024 PresentationMy Hashitalk Indonesia April 2024 Presentation
My Hashitalk Indonesia April 2024 Presentation
 
Designing IA for AI - Information Architecture Conference 2024
Designing IA for AI - Information Architecture Conference 2024Designing IA for AI - Information Architecture Conference 2024
Designing IA for AI - Information Architecture Conference 2024
 

Lecture 3: RNNs - Full Stack Deep Learning - Spring 2021

  • 1. Full Stack Deep Learning - UW Spring 2020 - Sergey Karayev - with content by Pieter Abbeel, Josh Tobin Recurrent Neural Networks
  • 2. Agenda 1. Sequence Problems 2. RNNs 3. Vanishing gradients and LSTMs 4. Case study: Machine Translation
 (Bidirectionality and Attention) 5. CTC loss 6. Pros and Cons 7. A preview of non-recurrent sequence models
  • 3. Agenda 1. Sequence Problems 2. RNNs 3. Vanishing gradients and LSTMs 4. Case study: Machine Translation
 (Bidirectionality and Attention) 5. CTC loss 6. Pros and Cons 7. A preview of non-recurrent sequence models
  • 4. Sequence Time series forecasting Time series Predicted next value Sentiment classification Review text Predicted sentiment Translation English text French text Speech recognition and generation Audio waveform Text Text or music generation Ø Text or Image captioning Image “The quick brown fox jumped over the lazy dog” Description Sequence problems Question Answering Text Text
  • 5. Types of sequence problems 1. Why RNNs? (From http://karpathy.github.io/2015/05/21/rnn-effectiveness/)
  • 6. Full Stack Deep Learning - UW Spring 2020 Questions? 6
  • 7. Why not use feedforward networks? 1. Why RNNs? many to many
  • 8. Why not use feedforward networks? 1. Why RNNs? Concatenate many to many
  • 9. Why not use feedforward networks? 1. Why RNNs? Concatenate Fully connected Output many to many
  • 10. Why not use feedforward networks? 1. Why RNNs? Concatenate Fully connected Output Reshape many to many
  • 11. Problem 1: variable length inputs 1. Why RNNs? many to many ? Can deal with this by padding all sequences to the max length, but…
  • 12. Problem 2: memory scaling 1. Why RNNs? many to many Memory requirement scales linearly in number of timesteps k-dim feature t timesteps k * t dim d-dim k * t * d dim matrix
  • 13. Problem 3: overkill 1. Why RNNs? many to many k-dim feature t timesteps k * t dim d-dim k * t * d dim matrix This matrix has to learn patterns everywhere they may occur in the sequence! This ignores the nature of the problem: patterns over time.
  • 14. Full Stack Deep Learning - UW Spring 2020 Questions? 14
  • 15. Agenda 1. Sequence Problems 2. RNNs 3. Vanishing gradients and LSTMs 4. Case study: Machine Translation
 (Bidirectionality and Attention) 5. CTC loss 6. Pros and Cons 7. A preview of non-recurrent sequence models
  • 16. Core idea of RNNs 2. Review of RNNs Stateful computation ht <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> yt <latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit> <latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit> <latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit> <latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit> xt <latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit> <latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit> <latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit> <latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit> yt, ht = f(xt, ht 1) <latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit> <latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit> <latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit> <latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit>
  • 17. Core idea of RNNs Stateful computation ht <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> yt <latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit> <latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit> <latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit> <latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit> xt <latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit> <latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit> <latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit> <latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit> ht <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> yt <latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit> <latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit> <latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit> <latexit sha1_base64="XkYZHr7NjfQUEcUVGFYE299lQFM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrIBDqo1t+7OQVaJV5AaFGgOql/9YczSiCtkkhrT89wE/ZxqFEzyaaWfGp5QNqEj3rNU0YgbP5+fOiVnVhmSMNa2FJK5+nsip5ExWRTYzoji2Cx7M/E/r5dieO3nQiUpcsUWi8JUEozJ7G8yFJozlJkllGlhbyVsTDVlaNOp2BC85ZdXSfui7rl17/6y1rgr4ijDCZzCOXhwBQ24hSa0gMEInuEV3hzpvDjvzseiteQUM8fwB87nD3ZejfA=</latexit> xt <latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit> <latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit> <latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit> <latexit sha1_base64="kYQzw52oil1cRaI9IlDqM0yy61I=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmu2mXbjZhdyKW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYkUBl332ymsrW9sbhW3Szu7e/sH5cOjlolTzXiTxTLWnYAaLoXiTRQoeSfRnEaB5O1gfD3z249cGxGrB5wk3I/oUIlQMIpWun/qY79ccavuHGSVeDmpQI5Gv/zVG8QsjbhCJqkxXc9N0M+oRsEkn5Z6qeEJZWM65F1LFY248bP5qVNyZpUBCWNtSyGZq78nMhoZM4kC2xlRHJllbyb+53VTDK/8TKgkRa7YYlGYSoIxmf1NBkJzhnJiCWVa2FsJG1FNGdp0SjYEb/nlVdK6qHpu1bu7rNRv8ziKcAKncA4e1KAON9CAJjAYwjO8wpsjnRfn3flYtBacfOYY/sD5/AF02I3v</latexit> h0 <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> h1 <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> x1 <latexit sha1_base64="7RaOx2onYKwAEmM+c9KG/gafX24=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmO2mXbjZhdyOW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYng2rjut1NYW9/Y3Cpul3Z29/YPyodHLR2nimGTxSJWnYBqFFxi03AjsJMopFEgsB2Mr2d++xGV5rF8MJME/YgOJQ85o8ZK9099r1+uuFV3DrJKvJxUIEejX/7qDWKWRigNE1Trrucmxs+oMpwJnJZ6qcaEsjEdYtdSSSPUfjY/dUrOrDIgYaxsSUPm6u+JjEZaT6LAdkbUjPSyNxP/87qpCa/8jMskNSjZYlGYCmJiMvubDLhCZsTEEsoUt7cSNqKKMmPTKdkQvOWXV0nrouq5Ve/uslK/zeMowgmcwjl4UIM63EADmsBgCM/wCm+OcF6cd+dj0Vpw8plj+APn8wcPTI2s</latexit> <latexit sha1_base64="7RaOx2onYKwAEmM+c9KG/gafX24=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmO2mXbjZhdyOW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYng2rjut1NYW9/Y3Cpul3Z29/YPyodHLR2nimGTxSJWnYBqFFxi03AjsJMopFEgsB2Mr2d++xGV5rF8MJME/YgOJQ85o8ZK9099r1+uuFV3DrJKvJxUIEejX/7qDWKWRigNE1Trrucmxs+oMpwJnJZ6qcaEsjEdYtdSSSPUfjY/dUrOrDIgYaxsSUPm6u+JjEZaT6LAdkbUjPSyNxP/87qpCa/8jMskNSjZYlGYCmJiMvubDLhCZsTEEsoUt7cSNqKKMmPTKdkQvOWXV0nrouq5Ve/uslK/zeMowgmcwjl4UIM63EADmsBgCM/wCm+OcF6cd+dj0Vpw8plj+APn8wcPTI2s</latexit> <latexit sha1_base64="7RaOx2onYKwAEmM+c9KG/gafX24=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmO2mXbjZhdyOW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYng2rjut1NYW9/Y3Cpul3Z29/YPyodHLR2nimGTxSJWnYBqFFxi03AjsJMopFEgsB2Mr2d++xGV5rF8MJME/YgOJQ85o8ZK9099r1+uuFV3DrJKvJxUIEejX/7qDWKWRigNE1Trrucmxs+oMpwJnJZ6qcaEsjEdYtdSSSPUfjY/dUrOrDIgYaxsSUPm6u+JjEZaT6LAdkbUjPSyNxP/87qpCa/8jMskNSjZYlGYCmJiMvubDLhCZsTEEsoUt7cSNqKKMmPTKdkQvOWXV0nrouq5Ve/uslK/zeMowgmcwjl4UIM63EADmsBgCM/wCm+OcF6cd+dj0Vpw8plj+APn8wcPTI2s</latexit> <latexit sha1_base64="7RaOx2onYKwAEmM+c9KG/gafX24=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCF09S0X5AG8pmO2mXbjZhdyOW0J/gxYMiXv1F3vw3btsctPXBwOO9GWbmBYng2rjut1NYW9/Y3Cpul3Z29/YPyodHLR2nimGTxSJWnYBqFFxi03AjsJMopFEgsB2Mr2d++xGV5rF8MJME/YgOJQ85o8ZK9099r1+uuFV3DrJKvJxUIEejX/7qDWKWRigNE1Trrucmxs+oMpwJnJZ6qcaEsjEdYtdSSSPUfjY/dUrOrDIgYaxsSUPm6u+JjEZaT6LAdkbUjPSyNxP/87qpCa/8jMskNSjZYlGYCmJiMvubDLhCZsTEEsoUt7cSNqKKMmPTKdkQvOWXV0nrouq5Ve/uslK/zeMowgmcwjl4UIM63EADmsBgCM/wCm+OcF6cd+dj0Vpw8plj+APn8wcPTI2s</latexit> y1 <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> · · · <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> · · · <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> yt, ht = f(xt, ht 1) <latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit> <latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit> <latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit> <latexit sha1_base64="EP5OJ6kYrql8gb59grT6GEbZnPM=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBahgpZEBN0IBTeupIJ9QBvCZDpph04ezNyIIRTc+CtuXCji1p9w5984bbPQ1gMXzpxzL3Pv8WLBFVjWt1FYWFxaXimultbWNza3zO2dpooSSVmDRiKSbY8oJnjIGsBBsHYsGQk8wVre8Grst+6ZVDwK7yCNmROQfsh9TgloyTX3UheO8cAFfIn9ysP0kcGJPTpyzbJVtSbA88TOSRnlqLvmV7cX0SRgIVBBlOrYVgxORiRwKtio1E0Uiwkdkj7raBqSgCknm9wwwoda6WE/krpCwBP190RGAqXSwNOdAYGBmvXG4n9eJwH/wsl4GCfAQjr9yE8EhgiPA8E9LhkFkWpCqOR6V0wHRBIKOraSDsGePXmeNE+rtlW1b8/KtZs8jiLaRweogmx0jmroGtVRA1H0iJ7RK3oznowX4934mLYWjHxmF/2B8fkDGZyV6g==</latexit> 2. Review of RNNs
  • 18. The RNN in code 2. Review of RNNs (Adapted from http://karpathy.github.io/2015/05/21/rnn-effectiveness/)
  • 19. A look at compute_next_h 2. Review of RNNs xt ht−1 ( -dim) nh ( -dim) nx ht Whh (nh × nh) Wxh (nh × nx) ( -dim) nh = dim of 
 the RNN nh
  • 20. RNNs for many-to-one problems 2. Review of RNNs
  • 21. RNNs for many-to-one problems 2. Review of RNNs RNN 0.5 0.2 -0.1 -0.3 0.4 1.2 FC Input Encoder State at last timestep Classifier Output Architecture
  • 22. Full Stack Deep Learning - UW Spring 2020 Questions? 22
  • 23. RNNs for one-to-many problems 2. Review of RNNs
  • 24. RNNs for one-to-many problems 2. Review of RNNs ConvNet (e.g.) 0.5 0.2 -0.1 -0.3 0.4 1.2 RNN “The quick brown fox jumped over the lazy dog” Input Encoder Hidden state Decoder Output Encoder-decoder architectures
  • 25. RNNs for one-to-many problems 2. Review of RNNs h0 <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> ConvNet
  • 26. 2. Review of RNNs h0 <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> y1 <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> ConvNet
  • 27. Using RNNs for one-to-many problems 2. Review of RNNs h0 <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> h1 <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> y1 <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> ConvNet
  • 28. 2. Review of RNNs h0 <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> h1 <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> y1 <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> ConvNet y2 <latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit> <latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit> <latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit> <latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit> h2 <latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit> <latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit> <latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit> <latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit>
  • 29. 2. Review of RNNs ht <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> h0 <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> h1 <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> y1 <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> ConvNet · · · <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> y2 <latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit> <latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit> <latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit> <latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit> h2 <latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit> <latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit> <latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit> <latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit> <s> Special character that tells the network to stop generating Stop characters
  • 30. Sequence loss functions 2. Review of RNNs ht <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> <latexit sha1_base64="9pFHr6U2bFdt9rB9QRXLRwu088U=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ97LtVr+bNQVaJX5AqFGj03a/eIGFZzBUySY3p+l6KQU41Cib5tNLLDE8pG9Mh71qqaMxNkM9PnZIzqwxIlGhbCslc/T2R09iYSRzazpjiyCx7M/E/r5thdB3kQqUZcsUWi6JMEkzI7G8yEJozlBNLKNPC3krYiGrK0KZTsSH4yy+vktZFzfdq/v1ltX5XxFGGEziFc/DhCupwCw1oAoMhPMMrvDnSeXHenY9Fa8kpZo7hD5zPH1x4jd8=</latexit> h0 <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> <latexit sha1_base64="u90zgAiIVkwK7FYP2F5fm926QP8=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWznbRLN5uwuxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlRwbTzv2ymtrW9sbpW3Kzu7e/sH7uFRSyeZYthkiUhUJ6QaBZfYNNwI7KQKaRwKbIfjm5nffkKleSIfzSTFIKZDySPOqLHSw6jv9d2qV/PmIKvEL0gVCjT67ldvkLAsRmmYoFp3fS81QU6V4UzgtNLLNKaUjekQu5ZKGqMO8vmpU3JmlQGJEmVLGjJXf0/kNNZ6Eoe2M6ZmpJe9mfif181MdB3kXKaZQckWi6JMEJOQ2d9kwBUyIyaWUKa4vZWwEVWUGZtOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OYI58V5dz4WrSWnmDmGP3A+fwD1WY2b</latexit> h1 <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> <latexit sha1_base64="Zg+eT8fiJmdBHxY/nyJGuxn4SXk=">AAAB6nicbVBNS8NAEJ3Ur1q/oh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFK6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzwlQKg5737ZTW1jc2t8rblZ3dvf0D9/CoZZJMM95kiUx0J6SGS6F4EwVK3kk1p3EoeTsc38z89hPXRiTqEScpD2I6VCISjKKVHkZ9v+9WvZo3B1klfkGqUKDRd796g4RlMVfIJDWm63spBjnVKJjk00ovMzylbEyHvGupojE3QT4/dUrOrDIgUaJtKSRz9fdETmNjJnFoO2OKI7PszcT/vG6G0XWQC5VmyBVbLIoySTAhs7/JQGjOUE4soUwLeythI6opQ5tOxYbgL7+8SloXNd+r+feX1fpdEUcZTuAUzsGHK6jDLTSgCQyG8Ayv8OZI58V5dz4WrSWnmDmGP3A+fwD23Y2c</latexit> ConvNet h2 <latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit> <latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit> <latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit> <latexit sha1_base64="5M6MrDqQvtu/vcMgGo2YxEy1wJE=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mKUI8FL56kov2ANpTNdtIu3WzC7kYooT/BiwdFvPqLvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY3Mz9zhMqzWP5aKYJ+hEdSR5yRo2VHsaD2qBccavuAmSdeDmpQI7moPzVH8YsjVAaJqjWPc9NjJ9RZTgTOCv1U40JZRM6wp6lkkao/Wxx6oxcWGVIwljZkoYs1N8TGY20nkaB7YyoGetVby7+5/VSE177GZdJalCy5aIwFcTEZP43GXKFzIipJZQpbm8lbEwVZcamU7IheKsvr5N2req5Ve/+qtK4y+MowhmcwyV4UIcG3EITWsBgBM/wCm+OcF6cd+dj2Vpw8plT+APn8wf4YY2d</latexit> Sum of cross- entropy losses on all ground-truth terms from the sequence · · · <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> <latexit sha1_base64="q69zMZjI9Yeldyb9Qbi+NHycg3U=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepYD+gDWWz2bRrN9mwOxFK6H/w4kERr/4fb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR26hMM95iSirdDajhUiS8hQIl76aa0ziQvBOMb2Z+54lrI1TygJOU+zEdJiISjKKV2n0WKjSDas2tu3OQVeIVpAYFmoPqVz9ULIt5gkxSY3qem6KfU42CST6t9DPDU8rGdMh7liY05sbP59dOyZlVQhIpbStBMld/T+Q0NmYSB7Yzpjgyy95M/M/rZRhd+7lI0gx5whaLokwSVGT2OgmF5gzlxBLKtLC3EjaimjK0AVVsCN7yy6ukfVH33Lp3f1lr3BVxlOEETuEcPLiCBtxCE1rA4BGe4RXeHOW8OO/Ox6K15BQzx/AHzucPsfOPOw==</latexit> <s> y1 <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> <latexit sha1_base64="zmeUxuqsJ4Ovw52V3MfSvm50t+0=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBiyepaD+gDWWz3bRLN5uwOxFC6E/w4kERr/4ib/4bt20O2vpg4PHeDDPzgkQKg6777ZTW1jc2t8rblZ3dvf2D6uFR28SpZrzFYhnrbkANl0LxFgqUvJtoTqNA8k4wuZn5nSeujYjVI2YJ9yM6UiIUjKKVHrKBN6jW3Lo7B1klXkFqUKA5qH71hzFLI66QSWpMz3MT9HOqUTDJp5V+anhC2YSOeM9SRSNu/Hx+6pScWWVIwljbUkjm6u+JnEbGZFFgOyOKY7PszcT/vF6K4bWfC5WkyBVbLApTSTAms7/JUGjOUGaWUKaFvZWwMdWUoU2nYkPwll9eJe2LuufWvfvLWuOuiKMMJ3AK5+DBFTTgFprQAgYjeIZXeHOk8+K8Ox+L1pJTzBzDHzifPxDSja0=</latexit> y2 <latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit> <latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit> <latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit> <latexit sha1_base64="gHGPI3rBPqHJZMw9M5HvLdjUkoI=">AAAB6nicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2g9oQ9lsJ+3SzSbsboQQ+hO8eFDEq7/Im//GbZuDtj4YeLw3w8y8IBFcG9f9dtbWNza3tks75d29/YPDytFxW8epYthisYhVN6AaBZfYMtwI7CYKaRQI7ASTm5nfeUKleSwfTZagH9GR5CFn1FjpIRvUB5WqW3PnIKvEK0gVCjQHla/+MGZphNIwQbXueW5i/Jwqw5nAabmfakwom9AR9iyVNELt5/NTp+TcKkMSxsqWNGSu/p7IaaR1FgW2M6JmrJe9mfif10tNeO3nXCapQckWi8JUEBOT2d9kyBUyIzJLKFPc3krYmCrKjE2nbEPwll9eJe16zXNr3v1ltXFXxFGCUziDC/DgChpwC01oAYMRPMMrvDnCeXHenY9F65pTzJzAHzifPxJWja4=</latexit> ŷ1 <latexit sha1_base64="2lWcgiP0h4kgLgU2N6MEkSS65Y8=">AAAB8HicbVBNS8NAEJ3Ur1q/qh69BIvgqSQi6LHgxZNUsB/ShrLZbtqlu5uwOxFC6K/w4kERr/4cb/4bt20O2vpg4PHeDDPzwkRwg5737ZTW1jc2t8rblZ3dvf2D6uFR28SppqxFYxHrbkgME1yxFnIUrJtoRmQoWCec3Mz8zhPThsfqAbOEBZKMFI84JWilx/6YYJ5NB/6gWvPq3hzuKvELUoMCzUH1qz+MaSqZQiqIMT3fSzDIiUZOBZtW+qlhCaETMmI9SxWRzAT5/OCpe2aVoRvF2pZCd67+nsiJNCaToe2UBMdm2ZuJ/3m9FKPrIOcqSZEpulgUpcLF2J197w65ZhRFZgmhmttbXTommlC0GVVsCP7yy6ukfVH3vbp/f1lr3BVxlOEETuEcfLiCBtxCE1pAQcIzvMKbo50X5935WLSWnGLmGP7A+fwB4AGQeg==</latexit> <latexit sha1_base64="2lWcgiP0h4kgLgU2N6MEkSS65Y8=">AAAB8HicbVBNS8NAEJ3Ur1q/qh69BIvgqSQi6LHgxZNUsB/ShrLZbtqlu5uwOxFC6K/w4kERr/4cb/4bt20O2vpg4PHeDDPzwkRwg5737ZTW1jc2t8rblZ3dvf2D6uFR28SppqxFYxHrbkgME1yxFnIUrJtoRmQoWCec3Mz8zhPThsfqAbOEBZKMFI84JWilx/6YYJ5NB/6gWvPq3hzuKvELUoMCzUH1qz+MaSqZQiqIMT3fSzDIiUZOBZtW+qlhCaETMmI9SxWRzAT5/OCpe2aVoRvF2pZCd67+nsiJNCaToe2UBMdm2ZuJ/3m9FKPrIOcqSZEpulgUpcLF2J197w65ZhRFZgmhmttbXTommlC0GVVsCP7yy6ukfVH3vbp/f1lr3BVxlOEETuEcfLiCBtxCE1pAQcIzvMKbo50X5935WLSWnGLmGP7A+fwB4AGQeg==</latexit> <latexit sha1_base64="2lWcgiP0h4kgLgU2N6MEkSS65Y8=">AAAB8HicbVBNS8NAEJ3Ur1q/qh69BIvgqSQi6LHgxZNUsB/ShrLZbtqlu5uwOxFC6K/w4kERr/4cb/4bt20O2vpg4PHeDDPzwkRwg5737ZTW1jc2t8rblZ3dvf2D6uFR28SppqxFYxHrbkgME1yxFnIUrJtoRmQoWCec3Mz8zhPThsfqAbOEBZKMFI84JWilx/6YYJ5NB/6gWvPq3hzuKvELUoMCzUH1qz+MaSqZQiqIMT3fSzDIiUZOBZtW+qlhCaETMmI9SxWRzAT5/OCpe2aVoRvF2pZCd67+nsiJNCaToe2UBMdm2ZuJ/3m9FKPrIOcqSZEpulgUpcLF2J197w65ZhRFZgmhmttbXTommlC0GVVsCP7yy6ukfVH3vbp/f1lr3BVxlOEETuEcfLiCBtxCE1pAQcIzvMKbo50X5935WLSWnGLmGP7A+fwB4AGQeg==</latexit> <latexit sha1_base64="2lWcgiP0h4kgLgU2N6MEkSS65Y8=">AAAB8HicbVBNS8NAEJ3Ur1q/qh69BIvgqSQi6LHgxZNUsB/ShrLZbtqlu5uwOxFC6K/w4kERr/4cb/4bt20O2vpg4PHeDDPzwkRwg5737ZTW1jc2t8rblZ3dvf2D6uFR28SppqxFYxHrbkgME1yxFnIUrJtoRmQoWCec3Mz8zhPThsfqAbOEBZKMFI84JWilx/6YYJ5NB/6gWvPq3hzuKvELUoMCzUH1qz+MaSqZQiqIMT3fSzDIiUZOBZtW+qlhCaETMmI9SxWRzAT5/OCpe2aVoRvF2pZCd67+nsiJNCaToe2UBMdm2ZuJ/3m9FKPrIOcqSZEpulgUpcLF2J197w65ZhRFZgmhmttbXTommlC0GVVsCP7yy6ukfVH3vbp/f1lr3BVxlOEETuEcfLiCBtxCE1pAQcIzvMKbo50X5935WLSWnGLmGP7A+fwB4AGQeg==</latexit> ŷ2 <latexit sha1_base64="xv6cKJ6fvDA+vYfI84d1MIPS0CY=">AAAB8HicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2A9pQ9lsN+3SzSbsToQQ+iu8eFDEqz/Hm//GbZuDtj4YeLw3w8y8IJHCoOt+O2vrG5tb26Wd8u7e/sFh5ei4beJUM95isYx1N6CGS6F4CwVK3k00p1EgeSeY3Mz8zhPXRsTqAbOE+xEdKREKRtFKj/0xxTybDuqDStWtuXOQVeIVpAoFmoPKV38YszTiCpmkxvQ8N0E/pxoFk3xa7qeGJ5RN6Ij3LFU04sbP5wdPyblVhiSMtS2FZK7+nshpZEwWBbYzojg2y95M/M/rpRhe+7lQSYpcscWiMJUEYzL7ngyF5gxlZgllWthbCRtTTRnajMo2BG/55VXSrtc8t+bdX1Ybd0UcJTiFM7gAD66gAbfQhBYwiOAZXuHN0c6L8+58LFrXnGLmBP7A+fwB4YWQew==</latexit> <latexit sha1_base64="xv6cKJ6fvDA+vYfI84d1MIPS0CY=">AAAB8HicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2A9pQ9lsN+3SzSbsToQQ+iu8eFDEqz/Hm//GbZuDtj4YeLw3w8y8IJHCoOt+O2vrG5tb26Wd8u7e/sFh5ei4beJUM95isYx1N6CGS6F4CwVK3k00p1EgeSeY3Mz8zhPXRsTqAbOE+xEdKREKRtFKj/0xxTybDuqDStWtuXOQVeIVpAoFmoPKV38YszTiCpmkxvQ8N0E/pxoFk3xa7qeGJ5RN6Ij3LFU04sbP5wdPyblVhiSMtS2FZK7+nshpZEwWBbYzojg2y95M/M/rpRhe+7lQSYpcscWiMJUEYzL7ngyF5gxlZgllWthbCRtTTRnajMo2BG/55VXSrtc8t+bdX1Ybd0UcJTiFM7gAD66gAbfQhBYwiOAZXuHN0c6L8+58LFrXnGLmBP7A+fwB4YWQew==</latexit> <latexit sha1_base64="xv6cKJ6fvDA+vYfI84d1MIPS0CY=">AAAB8HicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2A9pQ9lsN+3SzSbsToQQ+iu8eFDEqz/Hm//GbZuDtj4YeLw3w8y8IJHCoOt+O2vrG5tb26Wd8u7e/sFh5ei4beJUM95isYx1N6CGS6F4CwVK3k00p1EgeSeY3Mz8zhPXRsTqAbOE+xEdKREKRtFKj/0xxTybDuqDStWtuXOQVeIVpAoFmoPKV38YszTiCpmkxvQ8N0E/pxoFk3xa7qeGJ5RN6Ij3LFU04sbP5wdPyblVhiSMtS2FZK7+nshpZEwWBbYzojg2y95M/M/rpRhe+7lQSYpcscWiMJUEYzL7ngyF5gxlZgllWthbCRtTTRnajMo2BG/55VXSrtc8t+bdX1Ybd0UcJTiFM7gAD66gAbfQhBYwiOAZXuHN0c6L8+58LFrXnGLmBP7A+fwB4YWQew==</latexit> <latexit sha1_base64="xv6cKJ6fvDA+vYfI84d1MIPS0CY=">AAAB8HicbVBNS8NAEJ34WetX1aOXxSJ4KkkR9Fjw4kkq2A9pQ9lsN+3SzSbsToQQ+iu8eFDEqz/Hm//GbZuDtj4YeLw3w8y8IJHCoOt+O2vrG5tb26Wd8u7e/sFh5ei4beJUM95isYx1N6CGS6F4CwVK3k00p1EgeSeY3Mz8zhPXRsTqAbOE+xEdKREKRtFKj/0xxTybDuqDStWtuXOQVeIVpAoFmoPKV38YszTiCpmkxvQ8N0E/pxoFk3xa7qeGJ5RN6Ij3LFU04sbP5wdPyblVhiSMtS2FZK7+nshpZEwWBbYzojg2y95M/M/rpRhe+7lQSYpcscWiMJUEYzL7ngyF5gxlZgllWthbCRtTTRnajMo2BG/55VXSrtc8t+bdX1Ybd0UcJTiFM7gAD66gAbfQhBYwiOAZXuHN0c6L8+58LFrXnGLmBP7A+fwB4YWQew==</latexit>
  • 31. Full Stack Deep Learning - UW Spring 2020 Questions? 31
  • 32. 2. Review of RNNs RNN 0.5 0.2 -0.1 -0.3 0.4 1.2 RNN Input Encoder Hidden state Decoder Output Encoder-decoder architectures “I am a student” “Je suis étudient” RNNs for many-to-many problems
  • 33. I am a student <s> Je suis étudiant <s> RNNs for many-to-many problems 2. Review of RNNs
  • 34. I am a student <s> Je suis étudiant <s> RNNs for many-to-many problems 2. Review of RNNs All the information in the input sentence is condensed into one hidden state vector! (In practice, we need more tricks for this to work -- explained soon)
  • 35. Agenda 1. Sequence Problems 2. RNNs 3. Vanishing gradients and LSTMs 4. Case study: Machine Translation
 (Bidirectionality and Attention) 5. CTC loss 6. Pros and Cons 7. A preview of non-recurrent sequence models
  • 36. RNN Desiderata • Goal: handle long sequences • Connect events from the past to outcomes in the future • i.e., Long-term dependencies • e.g., remember the name of a character from the first sentence 3. Vanishing gradients
  • 37. Vanilla RNNs: the reality • Can’t handle more than 10-20 timesteps • Longer-term dependencies get lost • Why? Vanishing gradients 3. Vanishing gradients https://bair.berkeley.edu/blog/2018/08/06/recurrent/