1st Neural Network: AND function - PowerPoint PPT Presentation

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1st Neural Network: AND function

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1st Neural Network: AND function. Threshold(Y) = 2. X1. Y. X2. 1 ... Epoch : Presentation of the entire training set to the neural network. Example. ANN Design: ... – PowerPoint PPT presentation

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Title: 1st Neural Network: AND function


1
1st Neural Network AND function
Threshold(Y) 2
2
1st Neural Network OR function
Threshold(Y) 2
3
1st Neural Network AND not function
Threshold(Y) 2
4
1st Neural Network XOR function
Threshold(Y) 2
5
Modeling a neuron
  • aj Activation value of unit j
  • wj,I Weight on the link from unit j to unit i
  • inI Weighted sum of inputs to unit i
  • aI Activation value of unit i
  • g Activation function

6
Activation Function
  • Stept(x) 1 if x gt t, else 0
  • Sign(x) 1 if x gt 0, else 1
  • Sigmoid(x) 1/(1e-x)

7
Simple Network
8
Learning (training)
Learning in ANN is adjusting the connection
weight between neurons. Knowledge is stored in
this weight matrices.
9
Training Methods
  • Unsupervised Learning (learning without teacher
    or learning by doing)
  • Supervised Learning (learning with teacher)
  • Back propagation
  • Its similar to Supervised Learning but the error
    signal is used to adjust the weight.

10
Simple Training
While (epoch produces an error) // give the
next input Error Target Output If (Error ltgt
0) Weightj1 Weightj LearningRate Inputj
Error
Epoch Presentation of the entire training set
to the neural network.
11
Example
12
ANN Design
  • How to arrange neurons in various layers
  • How to connect neuron from different layer
  • How the neurons get input(s) and give result(s)
  • Learning rate value
  • Using bias or not
  • How to train the ANN

13
Applications
  • Prediction
  • Currency, stock exchange, weather, etc.
  • Classification
  • Pattern, shape, etc.
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