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PhysicsQ&A LibraryA 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).Question

Asked Mar 5, 2020

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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 g_{ij} (x) for a one-dimensional example in which n1 = 2 and n2 = 1 to illustrate your answer to part (b).

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