[Solved] ECE471 Assignment2 binary classification on the spirals dataset using a multi-layer perceptron

Perform binary classification on the spirals dataset using a multi-layer perceptron. You must generate the data yourself.

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008 Problem Statement Consider a set of examples with two classes and distributions as

⁰⁰⁹010 in Figure 1. Given the vector x R² infer its target class t {0,1}. As a model 011 use a multi-layer perceptron f which returns an estimate for the conditional ⁰¹² density p(t = 1 | x):

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014 f : R [0,1] (1)

⁰¹⁵ parametrisized by some set of values . All of the examples in the training set

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should be classified correctedly (i.e. p(t = 1 x) > 0.5 if and only if t = 1).

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018 Impose an L² penalty on the set of parameters. Produce one plot. Show the

⁰¹⁹ examples and the boundary corresponding to p(t = 1 | x) = 0.5. The plot must be

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021 of suitable visual quality. It may be difficult to to find an appropriate functional 022 form for f, write a few sentences discussing your various attempts.

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