(a) Give one example to the following machine learning problems: - Supervised learning - classification - Supervised learning - regression - Unsupervised learning - clustering - Unsupervised learning - dimensionality reduction - Reinforcement learning (b) A convolutional neural network involves convolution operations. Suppose that part of the input is: Find the output when the following kernel is applied: (c) A fully connected neural network is given below. Note that: - The ReLU activation function is defined as follows: For an input x,ReLU(x)=max(0,x) - The Softmax function is defined as follows: Given the inputs, xi,i=I,,n; the outputs are as follows: s(xi)=j=1nexjexi Suppose that the weights of the network are w11=1.5;w12=1.0,w21=1.2;w22=1.0;w31=0.6;w32=1.0h11=0.5;h12=1.0;h21=1.0,h22=1.5;h31=0.4;h32=0.3 For an input of x1=1.0 and x2=2.0 i. Calculate the net inputs a1 and a2. ii. Calculate the ReLU outputs. iii. Calculate y 1 and y2. iv. Calculate z1 and z2