exercise:Ccf27d1eb1

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\newcommand{\foldsize}{B} \newcommand{\nriter}{R} [/math]

Consider the ANN in Figure fig_ANN using the ReLU activation function (see Figure fig_activate_neuron).

Show that there is a particular choice for the weights [math]\weights =(\weight_{1},\ldots,\weight_{9})^{T}[/math] such that the resulting hypothesis map [math]h^{(\weights)}(\feature)[/math] is a triangle as depicted in the figure below.

Can you also find a choice for the weights [math]\weights =(\weight_{1},\ldots,\weight_{9})^{T}[/math] that produce the same triangle shape if we replace the ReLU activation function with the linear function [math]\actfun(z) =10 \cdot z[/math]?

A hypothesis map [math]h: \mathbb{R} \rightarrow \mathbb{R}[/math] with the shape of a triangle.