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

Description

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 θ. 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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