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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
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yt
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xt
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yt, ht = f(xt, ht 1)
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Core idea of RNNs
Stateful computation
ht
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h0
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h1
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x1
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y1
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· · ·
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· · ·
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yt, ht = f(xt, ht 1)
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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
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ConvNet
2. Review of RNNs
h0
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y1
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ConvNet
Using RNNs for one-to-many problems
2. Review of RNNs
h0
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h1
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y1
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ConvNet
2. Review of RNNs
h0
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h1
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<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
· · ·
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<s>
y1
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y2
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ŷ1
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ŷ2
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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

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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
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  • 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 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  • 17. 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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 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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 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  • 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 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  • 29. 2. 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  • 30. Sequence loss functions 2. 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  • 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/