A classifier is said to be a piecewise linear machine if its discriminant functions linear machine have the form Where (a) Indicate how a piecewise linear machine can be viewed in terms of a linear machine for classifying subclasses of patterns. (b) Show that the decision regions of a piecewise linear machine can be nonconvex and even multiply connected. (c) Sketch a plot of gij (x) for a one-dimensional example in which n1 = 2 and n2 = 1 to illustrate your answer to part (b).

A classifier is said to be a piecewise linear machine if its discriminant functions linear machine have the form Where (a) Indicate how a piecewise linear machine can be viewed in terms of a linear machine for classifying subclasses of patterns. (b) Show that the decision regions of a piecewise linear machine can be nonconvex and even multiply connected. (c) Sketch a plot of gij (x) for a one-dimensional example in which n1 = 2 and n2 = 1 to illustrate your answer to part (b).

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 2CEXP

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