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ml-recall

#hyperplane-arrangement

1 question from Neural Network Basics

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Question 1: Short answer

hardAI-checkedNeural Network Basics

A network with 2-dimensional inputs has one hidden layer of N=4N = 4 ReLU units, F(v)=∑j=14cj ReLU(wj⊤v+bj)F(v) = \sum_{j=1}^{4} c_j\,\mathrm{ReLU}(w_j^\top v + b_j). Each unit switches on or off along the line wj⊤v+bj=0w_j^\top v + b_j = 0, and the four lines are in general position. At most how many flat (linear) pieces can the graph of FF have?

a whole number