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Multi-class Classification Mu-Chun Su. Case I Each pattern class is separable from the other classes by a single hyperplane. M classes need M Perceptrons.

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Presentation on theme: "Multi-class Classification Mu-Chun Su. Case I Each pattern class is separable from the other classes by a single hyperplane. M classes need M Perceptrons."— Presentation transcript:

1 Multi-class Classification Mu-Chun Su

2 Case I Each pattern class is separable from the other classes by a single hyperplane. M classes need M Perceptrons. A decision can not be made if (1) more than one perceptron have positive outputs; (2) none of the perceptron has positiveb output.

3 Case I

4 Case II Each pattern is separable from every other individual class by a distinct hyperplane. M classes need M(M-1)/2 perceptrons. If x belongs to w i then These hyperplanes have the property that

5 Case II

6 Case III There exist M hyperplanes with the property that if a pattern x belongs to the class w i. If the classes are separable under case 3 condition, they are automatically separable under Case 2. There exists no indeterminate region.

7 Case III

8

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