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NEURAL NETWORKS
Name - Shivam Malviya
Roll No. - 18EC01044
Table Of Content
● Introduction
● Activation Functions
● Classifications
● Training
● Advantages
● Disadvantages
● Achievements
● Conclusion
● References
Inspiration
In 1943, Warren McCulloch, a neurophysiologist, and a young
mathematician, Walter Pitts, wrote a paper on how neurons
might work.
The first artificial neural network was invented in 1958 by
psychologist Frank Rosenblatt, it is called Perceptron.
Neuron
Inputs
Output
Neuron
x1
x2
xn
w1
w2
wn
a = activation(z)
z = w0
+ w1
x1
+ w2
x2
+ …… + wn
xn
= wT
x
w0
x0
= 1
x
w a = σ(z)
{x
Linear
z = wT
x
Non - Linear
Mapping
a = σ(z)Mapping
Neuron
Activation Functions
Sigmoid Tanh
Activation Functions
ReLU - Rectified Linear Unit Leaky ReLU
Neural Network
a
Classification
Based on connection patterns
Feedforward NN Feedback NN
Training
Loss Function - The output of loss function tells us how well our neural
network model the given dataset.
Loss Function in Regression
x
y
L = (errors)2
∑
m
m = No. of data points
Training
Loss Function in Classification
L = - (ylog(p)+(1−y)log(1−p))
m
m = No. of data points
x1
x2
∑
y = 1
y = 0
Training
Forward Propagation
Direction of flow of calculation
W[1]
W[2]
W[3]
a[L]
= Activation
of L - layer
a[0]
a[1]
a[2]
a[3]
Training
Backward Propagation
Direction of flow of calculation
W[1]
W[2]
W[3]
∂L
∂a[3]
∂L
∂W[3]
∂L
∂a[2]
∂L
∂W[1]
∂L
∂a[1]
∂L
∂W[2]
Advantages
Deep Neural Network
Shallow Neural Network
Medium Neural Network
Traditional Machine
Learning Algorithm
Data
Performance
● It can capture very
complex patterns
● Universal
Approximation
Theorem
Advantages
● Parallel processing
capabilities
GPU
Advantages
● High tolerance to
noisy data
● Ability to work with
incomplete knowledge
● Requires a lot of data
Disadvantages
● Require a huge
computational power
Disadvantages
● Takes a lot of time to train
GPU
● Unexplained behaviour of
a neural network
Disadvantages
Applications
● Deepmind’s AlphaGo Zero
➢ No. of atoms in the
observable universe
= 1080
➢ No. of board
positions in the chess
= 10120
➢ No. of board
positions in the go
= 10170
Applications
● Word Embedding
Applications
● Automatic Colorization
Conclusion
● Neural Networks have ability to perform tasks at which
humans are good and computers are bad.
● Other algorithms may
perform better in easy
tasks.
References
● Image Colorization with Deep Convolutional Neural Networks
By : Jeff Hwang and You Zhou
● Graph illustrating the impact of data available on performance of traditional
machine learning algorithms. - Research Gate. By : Benoit Gallix
● Mastering Chess and Shogi by Self-Play with a General Reinforcement
Learning Algorithm. By : David Silver, Thomas Hubert, Julian Schrittwieser, Ioannis
Antonoglou, Matthew Lai, Arthur Guez, Marc Lanctot, Laurent Sifre, Dharshan Kumaran, Thore Graepel, Timothy
Lillicrap, Karen Simonyan, Demis Hassabis
● Efficient Estimation of Word Representations in Vector Space.
By : Tomas Mikolov, Kai Chen, Greg Corrado, Jeffrey Dean
THANK YOU

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