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MADRAS UNIVERSITY DEPARTMENT OF  COMPUTER SCIENCE
ADALINE AND MADALINE ARTIFICIAL NEURAL NETWORK
GROUP MEMBERS ARE : D.ASHA G.CHAMUNDESWARI R.DEEPA LAKSHMI
ADALINE
What is an ADALINE Network? ,[object Object],[object Object],[object Object],[object Object],[object Object]
ADALINE - ARCHITECTURE
Using ADALINE Networks ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Initialize Training Thinking
Adaline – Widrow-Hoff Learning ,[object Object],[object Object],[object Object],[object Object]
The ADALINE ,[object Object],[object Object],[object Object],[object Object],[object Object],w ij (new ) =  w ij (old) +   ( t i  – y_in i ) x j E =  ( t – y_in ) 2 E w 1,1 w 1,1 0 0.5 1 0.1 0.25 0.9 Y 1 X 1
The ADALINE learning algorithm Step 0 Initialize all weights and set learning rate w ij =  (small random values)    = 0.2  (for example) Step 1 While stopping condition is false Step 1.1 For each training pair  s:t : Step 1.1.1  Set activations on input units x j  = s j Step 1.1.2  Compute net input to output units y_in i  = b i  +     x j w ij Step 1.1.3  Update bias and weights b i (new) =  b i (old) +   ( t i  – y_in i ) w ij (new) =  w ij (old) +   ( t i  – y_in i ) x j
Least Square Minimization ,[object Object],[object Object],[object Object],[object Object],[object Object],NNs Adaline
LMS (Least Mean Square Alg.) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],NNs Adaline
Mean Square Error Training Set: Input: Target: Notation: Mean Square Error: ,[object Object],[object Object],[object Object]
Error Analysis The mean square error for the ADALINE Network is a quadratic function:
Adaptive Filtering Tapped Delay Line Adaptive Filter An  adaptive filter  is a filter that  self-adjusts  its  transfer function  according to an optimizing algorithm. Because of the complexity of the optimizing algorithms, most adaptive filters are  digital filters  that perform  digital signal processing  and adapt their performance based on the input signal.
Adaptive filter ,[object Object],[object Object],[object Object],[object Object]
Adaptive filter elements ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Applications ,[object Object],[object Object],[object Object],NNs Adaline
Example: Noise Cancellation
Noise Cancellation Adaptive Filter
LMS Response
Echo Cancellation ,[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],Adaline Device For Medical
EXAMPLE FOR  ADALINE
 
 
Comparison with Perceptron ,[object Object],[object Object],[object Object],[object Object],NNs Adaline
Summary ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
MADALINE
Madaline : Many adaline ,[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
Architecture
Madaline Rule I  (MRI) training algorithm.
Madaline Rule I  (MRI) training algorithm. ,[object Object],[object Object]
Madaline Rule I  (MRI) training algorithm.
Madaline Rule I  (MRI) training algorithm. A Madaline with an output node that computes the OR logical function.
Madaline Rule II  (MRII) training algorithm.
Madaline Rule lI  (MRI) training algorithm. ,[object Object],[object Object],[object Object]
Madaline Rule II (MRII) ,[object Object],[object Object]
Madaline Rule lI  (MRI) training algorithm.
Madaline Rule lI  (MRI) training algorithm. High-level structure of a Madaline 11 with two Adalines at the first level and one Adaline at the second level. The  Madaline  Il architecture, shown in figure 4.3, improves on the capabilities of Madaline I, by using Adalines with modifiable weights at the Output layer of the network,  instead of fixed logic devices.  Figure 4.3
Madaline Rule III  (MRIII) training algorithm.
Madaline Rule lIl  (MRI) training algorithm ,[object Object],[object Object],[object Object],[object Object],[object Object]
Madaline Rule lIl  (MRI) training algorithm
Comparison of MR III with MR II ,[object Object],[object Object]
Comparison of MR III with MR II ,[object Object],[object Object]
MADALINE- XOR EXAMPLE XOR’  XOR 0  0 0  1 1  0 1  1 -1  -1 -1  1 1  -1 1  1 -1 1 1 -1 0 1 1 0
MADALINE- XOR EXAMPLE
A Madaline for Translation – Invariant Pattern Recognition
A Madaline for Translation – Invariant Pattern Recognition ,[object Object],[object Object]
[object Object]
[object Object]
APPLICATION OF MADALINE ,[object Object],[object Object],[object Object],[object Object]
 
Other applications : ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
SUMMARY  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
THANK YOU

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Adaline madaline

Notes de l'éditeur

  1. Next, state the action step. Make your action step specific, clear and brief. Be sure you can visualize your audience taking the action. If you can’t, they can’t either. Be confident when you state the action step, and you will be more likely to motivate the audience to action.