Consider a fully-connected feed-forward multi-layer perceptron. It has 30 neurons in the input layer, followed by two hidden layers and an output layer. The first hidden layer has 4 neurons and the second hidden layer has 3 neurons. The output layer has only one neuron. Assume that no bias parameters are used.

The number of learnable parameters in the multi-layer perceptron is __________ . (Answer in integer)

Consider the neural network shown in the figure with
inputs: $u,v$
weights: $a,b,c,d,e,f$
output: $y$
$R$ denotes the ReLU function, $R(x)=\max (0,x)$.


Given $u=2,v=3,$
$a=1,b=1,c=1,d=-1,e=4,f=-1,$
which one of the following is correct?

Consider the two neural networks (NNs) shown in Figures 1 and 2, with $ReLU$
activation ($ReLU(z)=max\{0,z\},\forall z\in \mathbb{R}$). $\mathbb{R}$ denotes the set of real numbers. The
connections and their corresponding weights are shown in the Figures. The biases
at every neuron are set to 0. For what values of $p,q,r$ in Figure 2 are the two NNs
equivalent, when $x_1$
,$x_2$
, $x_3$
are positive?