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Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Neural Networks and Learning Machines, Third Edition Simon Haykin Chapter 1 Rosenblatt's Perceptron

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Page 1: 91329-0136097111_ch01

Copyright ©2009 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

All rights reserved.

Neural Networks and Learning Machines, Third EditionSimon Haykin

Chapter 1

Rosenblatt's Perceptron

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Copyright ©2009 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

All rights reserved.

Neural Networks and Learning Machines, Third EditionSimon Haykin

Figure 1.1 Signal-flow graph of the perceptron.

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Copyright ©2009 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

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Neural Networks and Learning Machines, Third EditionSimon Haykin

Figure 1.2 Illustration of the hyperplane (in this example, a straight line) as decision boundary for a two-dimensional, two-class pattern-classification problem.

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Copyright ©2009 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

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Neural Networks and Learning Machines, Third EditionSimon Haykin

Figure 1.3 Equivalent signal-flow graph of the perceptron; dependence on time has been omitted for clarity.

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Copyright ©2009 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

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Neural Networks and Learning Machines, Third EditionSimon Haykin

Figure 1.4 (a) A pair of linearly separable patterns. (b) A pair of non-linearly separable.

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Copyright ©2009 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

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Neural Networks and Learning Machines, Third EditionSimon Haykin

Table 1.1

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Copyright ©2009 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

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Neural Networks and Learning Machines, Third EditionSimon Haykin

Figure 1.5 Two equivalent implementations of the Bayes classifier: (a) Likelihood ratio test, (b) Log-likelihood ratio test.

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Copyright ©2009 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

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Neural Networks and Learning Machines, Third EditionSimon Haykin

Figure 1.6 Signal-flow graph of Gaussian classifier.

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Copyright ©2009 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

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Neural Networks and Learning Machines, Third EditionSimon Haykin

Figure 1.7 Two overlapping, one-dimensional Gaussian distributions.

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Copyright ©2009 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

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Neural Networks and Learning Machines, Third EditionSimon Haykin

Figure 1.8 The double-moon classification problem.

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Copyright ©2009 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

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Neural Networks and Learning Machines, Third EditionSimon Haykin

Figure 1.9 Perceptron with the double-moon set at distance d = 1.

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Copyright ©2009 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

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Neural Networks and Learning Machines, Third EditionSimon Haykin

Figure 1.10 Perceptron with the double-moon set at distance d = –4.