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ARTIFICIAL NEURAL NETWORKS
PERCEPTRON
Perceptron ,[object Object],[object Object],[object Object],[object Object]
History of Artificial Neural 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],[object Object]
Types of  Learnin g •   Supervised Learning Network is provided with a set of examples of proper network behavior (inputs/targets) •   Reinforcement Learning Network is only provided with a grade, or score, which indicates network performance •   Unsupervised Learning Only network inputs are available to the learning algorithm. Network learns to categorize (cluster) the inputs.
[object Object],[object Object],[object Object],Error-correcting Learning.
Decision Boundary • All points on the decision boundary have the same  inner product   (= -b)  with the weight vector • Therefore they have the same  projection  onto the weight vector ;   so  they must lie on a line orthogonal to the weight vector w T .p  = ||w||||p||Cos  proj. of p onto w   = ||p||Cos    =  w T .p /||w||  p w proj. of p onto w
Two layers ,[object Object],[object Object],Chosen randomly
 
Input Layer   —   A vector of predictor variable values ( x1...xp ) is presented to the input layer. The input layer (or processing before the input layer) standardizes these values so that the range of each variable is -1 to 1. The input layer distributes the values to each of the neurons in the hidden layer. In addition to the predictor variables, there is a constant input of 1.0, called the  bias  that is fed to each of the hidden layers; the bias is multiplied by a weight and added to the sum going into the neuron.
Hidden Layer   —  Arriving at a neuron in the hidden layer, the value from each input neuron is multiplied by a weight ( wji ), and the resulting weighted values are added together producing a combined value  uj . The weighted sum ( uj ) is fed into a transfer function, σ, which outputs a value  hj . The outputs from the hidden layer are distributed to the output layer.
Output Layer   Arriving at a neuron in the output layer, the value from each hidden layer neuron is multiplied by a weight ( wkj ), and the resulting weighted values are added together producing a combined value  vj . The weighted sum ( vj ) is fed into a transfer function, σ, which outputs a value  yk .
 
Learning  Problem To Be Solved ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
  Answer ,[object Object],[object Object],[object Object],[object Object]
Perceptron algorithm in words  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Perceptron algorithm in rules ,[object Object],[object Object],[object Object],[object Object],[object Object]
 
Perceptro Learning Rule ( Summary ) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Perceptron Convergence  theorem ,[object Object],[object Object],[object Object]
Perceptron Limitations ,[object Object],[object Object]
Linear Separability Boolean AND   Boolean  X OR
Perceptron Limitations Linear Decision Boundary Linearly Inseparable Problems
Apple/Banana Example  -  Self Study Training Set Random  Initial Weights First Iteration e t 1 a – 1 0 – 1 = = =
 
 
The Perceptron was a Big Hit ,[object Object],[object Object],[object Object],[object Object],[object Object]
 
 
 
MULTILAYER PERCEPTRON
XOR problem XOR (exclusive OR) problem 0+0=0 1+1=2=0  mod 2 1+0=1 0+1=1 Perceptron does not work here  Single layer generates a linear  decision boundary
Minsky & Papert (1969) offered solution to XOR problem by  combining perceptron unit responses using a second layer of  units 1 2 +1 3 +1
x n x 1 x 2 Inputs x i Outputs y j Two-layer networks y 1 y m 2nd layer weights w ij  from j to i 1st layer weights v ij  from j to i Outputs of 1st layer z i
Multilayer Perceptron Architecture
Training Multilayer Perceptron Networks ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
 
HUMAN NEURON COMPARED TO  ANN
 
APPLICATIONS OF PERCEPTRON
Cybernetics and brain simulation Main articles:  Cybernetics  and  Computational neuroscience There is no consensus on how closely the brain should be  simulated . In the 1940s and 1950s, a number of researchers explored the connection between  neurology ,  information theory , and  cybernetics . Some of them built machines that used electronic networks to exhibit rudimentary intelligence, such as  W. Grey Walter 's  turtles  and the  Johns Hopkins Beast . Many of these researchers gathered for meetings of the Teleological Society at  Princeton University  and the  Ratio Club  in England. [24]  By 1960, this approach was largely abandoned, although elements of it would be revived in the 1980s.
 
General intelligence Main articles:  Strong AI  and  AI-complete Most researchers hope that their work will eventually be incorporated into a machine with  general  intelligence (known as  strong AI ), combining all the skills above and exceeding human abilities at most or all of them. [12]  A few believe that  anthropomorphic  features like  artificial consciousness  or an  artificial brain  may be required for such a project. [74] Many of the problems above are considered  AI-complete : to solve one problem, you must solve them all. For example, even a straightforward, specific task like  machine translation  requires that the machine follow the author's argument ( reason ), know what is being talked about ( knowledge ), and faithfully reproduce the author's intention ( social intelligence ).  Machine translation , therefore, is believed to be AI-complete: it may require  strong AI  to be done as well as humans can do it. [75]
 
Some important conclusions from the work were as follows: Speech recognition has definite potential for reducing pilot workload, but this potential was not realized consistently.  Achievement of very high recognition accuracy (95% or more) was the most critical factor for making the speech recognition system useful — with lower recognition rates, pilots would not use the system.  More natural vocabulary and grammar, and shorter training times would be useful, but only if very high recognition rates could be maintained. Military High-performance fighter aircraft
 
PERCEPTRON Presented  By SURESH. G SATHEESH. D RAJA LAKSHMI . S

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Perceptron

  • 1.  
  • 4.
  • 5.
  • 6.
  • 7. Types of Learnin g • Supervised Learning Network is provided with a set of examples of proper network behavior (inputs/targets) • Reinforcement Learning Network is only provided with a grade, or score, which indicates network performance • Unsupervised Learning Only network inputs are available to the learning algorithm. Network learns to categorize (cluster) the inputs.
  • 8.
  • 9. Decision Boundary • All points on the decision boundary have the same inner product (= -b) with the weight vector • Therefore they have the same projection onto the weight vector ; so they must lie on a line orthogonal to the weight vector w T .p = ||w||||p||Cos  proj. of p onto w = ||p||Cos  = w T .p /||w||  p w proj. of p onto w
  • 10.
  • 11.  
  • 12. Input Layer — A vector of predictor variable values ( x1...xp ) is presented to the input layer. The input layer (or processing before the input layer) standardizes these values so that the range of each variable is -1 to 1. The input layer distributes the values to each of the neurons in the hidden layer. In addition to the predictor variables, there is a constant input of 1.0, called the bias that is fed to each of the hidden layers; the bias is multiplied by a weight and added to the sum going into the neuron.
  • 13. Hidden Layer — Arriving at a neuron in the hidden layer, the value from each input neuron is multiplied by a weight ( wji ), and the resulting weighted values are added together producing a combined value uj . The weighted sum ( uj ) is fed into a transfer function, σ, which outputs a value hj . The outputs from the hidden layer are distributed to the output layer.
  • 14. Output Layer Arriving at a neuron in the output layer, the value from each hidden layer neuron is multiplied by a weight ( wkj ), and the resulting weighted values are added together producing a combined value vj . The weighted sum ( vj ) is fed into a transfer function, σ, which outputs a value yk .
  • 15.  
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.  
  • 21.
  • 22.
  • 23.
  • 24. Linear Separability Boolean AND Boolean X OR
  • 25. Perceptron Limitations Linear Decision Boundary Linearly Inseparable Problems
  • 26. Apple/Banana Example - Self Study Training Set Random Initial Weights First Iteration e t 1 a – 1 0 – 1 = = =
  • 27.  
  • 28.  
  • 29.
  • 30.  
  • 31.  
  • 32.  
  • 34. XOR problem XOR (exclusive OR) problem 0+0=0 1+1=2=0 mod 2 1+0=1 0+1=1 Perceptron does not work here Single layer generates a linear decision boundary
  • 35. Minsky & Papert (1969) offered solution to XOR problem by combining perceptron unit responses using a second layer of units 1 2 +1 3 +1
  • 36. x n x 1 x 2 Inputs x i Outputs y j Two-layer networks y 1 y m 2nd layer weights w ij from j to i 1st layer weights v ij from j to i Outputs of 1st layer z i
  • 38.
  • 39.  
  • 41.  
  • 43. Cybernetics and brain simulation Main articles: Cybernetics and Computational neuroscience There is no consensus on how closely the brain should be simulated . In the 1940s and 1950s, a number of researchers explored the connection between neurology , information theory , and cybernetics . Some of them built machines that used electronic networks to exhibit rudimentary intelligence, such as W. Grey Walter 's turtles and the Johns Hopkins Beast . Many of these researchers gathered for meetings of the Teleological Society at Princeton University and the Ratio Club in England. [24] By 1960, this approach was largely abandoned, although elements of it would be revived in the 1980s.
  • 44.  
  • 45. General intelligence Main articles: Strong AI and AI-complete Most researchers hope that their work will eventually be incorporated into a machine with general intelligence (known as strong AI ), combining all the skills above and exceeding human abilities at most or all of them. [12] A few believe that anthropomorphic features like artificial consciousness or an artificial brain may be required for such a project. [74] Many of the problems above are considered AI-complete : to solve one problem, you must solve them all. For example, even a straightforward, specific task like machine translation requires that the machine follow the author's argument ( reason ), know what is being talked about ( knowledge ), and faithfully reproduce the author's intention ( social intelligence ). Machine translation , therefore, is believed to be AI-complete: it may require strong AI to be done as well as humans can do it. [75]
  • 46.  
  • 47. Some important conclusions from the work were as follows: Speech recognition has definite potential for reducing pilot workload, but this potential was not realized consistently. Achievement of very high recognition accuracy (95% or more) was the most critical factor for making the speech recognition system useful — with lower recognition rates, pilots would not use the system. More natural vocabulary and grammar, and shorter training times would be useful, but only if very high recognition rates could be maintained. Military High-performance fighter aircraft
  • 48.  
  • 49. PERCEPTRON Presented By SURESH. G SATHEESH. D RAJA LAKSHMI . S