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For training data set (x1,y1)=([21],3)(x2,y2)=([12],2)(x3,y3)=([10],0)(x4,y4)=([01],1) We apply L2 loss as the training objective function: minimizee2(w^)=41p=14(w^Tx^pyp)2 with initial design w^0=000 a) Compute w^2 by conducting 2 iterations of Stochastic Gradient Descent Algorithm with adaptive learning rate k=(1K1k)0+K1kK1 where 0=0.1,K1=0.01,K1=10. In the first iteration, we randomly choose 2 samples (x2,y2),(x4,y4) to construct the objective function. In the second iteration, we randomly choose 2 samples (x1,y1),(x3,y3) to construct the objective function. b) Compute w^2 by conducting 1 epoch of Mini-Batch Optimization with batch size set to B=2 and constant learning rate =0.1. (Hint: For both SGD and Mini-Batch Optimization, we regard the objective function in k th iteration as minimizee2(k)(w^)=m1pIk(w^Tx^pyp)2 where m is the number of samples involved in the k th iteration, and Ik is the index set of the m samples. )