Write the scores zh as a function of x

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Case: Consider a 2-layer neural network with scalar input x, scalar output ao, and parameters Wh = 1 1 , bh = -1 -3 Wo = [-1, 2], bo = 0.5, that uses hard-threshold activation functions: hh(z) = ho(z) = ?{z≥0} ? ( 1 if z ≥ 0 0 if z < 0.

(a) What is dh, the number of hidden units? What is do, the number of output units?

(b) Write the scores zh as a function of x. Sketch each zh,j as a function of x.

(c) Write the activations ah in terms of x. Sketch each ah,j as a function of x.

(d) Write and sketch the score zo as a function of x. (e) Write and sketch the activation ao as a function of x.

Reference no: EM133625939

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