Consider basic gradient descent (Algorithm 1) and Newtons algorithm (Algorithm 2) applied to the data in the tables.

(a) Determine the value of a of algorithm 1 and algorithm 2.

(b) Test the training vectors and check the classification error.

Several of the exercises use the data in the following table. u1 2 u3 0.1 1.7.1 .-3.0 -2.9-2.0 -8.4 2 6.8 7.11.4 4.3 0.5 8.7-8.9 0.2 3 3.5 -4.14.5 0.0 2.9 2.14.2 7.7 2.0 2.7 6.3 1.6-0.1 5.2-8.5 -3.2 1 2.8 4.2 1.94.0 2.2 -6.7 -4.0 6 3.1 5.0 1. -3.2-1.3 3.7-0.5 -9.2 7 -0.8 -1.3 2.4 4.0-3.4 6.2-5.3 6.7 8 0.9 1.2 2.5 -6.1-4.1 3.48.7 -6.4 5.0 6.4 8.4 3.7-5.1 1.6 7.1 -9.7 10 3.9 4.0 4.1 2.2 1.9 5.1-8.0 -6.3 9 5 Several of the exercises use the data in the following table. u1 2 u3 0.1 1.7.1 .-3.0 -2.9-2.0 -8.4 2 6.8 7.11.4 4.3 0.5 8.7-8.9 0.2 3 3.5 -4.14.5 0.0 2.9 2.14.2 7.7 2.0 2.7 6.3 1.6-0.1 5.2-8.5 -3.2 1 2.8 4.2 1.94.0 2.2 -6.7 -4.0 6 3.1 5.0 1. -3.2-1.3 3.7-0.5 -9.2 7 -0.8 -1.3 2.4 4.0-3.4 6.2-5.3 6.7 8 0.9 1.2 2.5 -6.1-4.1 3.48.7 -6.4 5.0 6.4 8.4 3.7-5.1 1.6 7.1 -9.7 10 3.9 4.0 4.1 2.2 1.9 5.1-8.0 -6.3 9 5