Problem 2 (15 points) Answer the following questions regarding the graph convolutional network (GCN) by Kipf and Welling, covered in Section 5.3.1 for the graph with the signals given at the end. 1) (4 points) Explain how the GCN is derived in the spectral-based graph filter framework. 2) (8 points) Given the parameters for a GCN network in the following table, compute the output signals after one layer of GCN. 1/4 -1/2 1/3 1/2 0 1/3 1/4 1/2 1/3 3) (3 points) For node 3, give the explicit equations that can be to compute the output features for the node.