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2. Neural Networks. Consider a neural network, with Ni=2 input units, x=(x1,x2),Nh=3 hidden units with ReLU activations and one output unit for regression, zjHy=k=1NiWjkHxk+bjH,ujH=max{0,zjH},j=1,,Nh=k=1NhWkOukH+bO, (a)

image text in transcribed 2. Neural Networks. Consider a neural network, with Ni=2 input units, x=(x1,x2),Nh=3 hidden units with ReLU activations and one output unit for regression, zjHy=k=1NiWjkHxk+bjH,ujH=max{0,zjH},j=1,,Nh=k=1NhWkOukH+bO, (a) Suppose that WH=101011,bH=0.513 Write equations for zjH in terms of x for j=1,2,3. (b) Draw the region of inputs (x1,x2) where ujH>0 for all j. (c) You are given data x, y as well as weights and biases wh,bh for the hidden layer. Write a few lines of python code to fit wo, bo for the output layer by minimizing the MSE. You may assume you have a function

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