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Problem 4 - (Stochastic) Gradient Decent (1) The data file (x(), y?)] for i = 1, 2, ..., n is drawn (with noise) from f(x)
Problem 4 - (Stochastic) Gradient Decent (1) The data file (x(), y?)] for i = 1, 2, ..., n is drawn (with noise) from f(x) = Bo + BI sin(x) + $2 cos(x) Can you solve the parameters use the least squares method? Find a closed formula and explain the matrices clearly in your formula. (2) The data file (x(), y) ] for i = 1, 2, ..., n = 10 is drawn (with noise) from the function: g(x) = Bo + sin(B1x) + cos(B2x) x (1) 0 2 4 6 8 10 12 14 16 18 2.85 1.5 0.49 1.57 1.9 0.6 0.38 2.33 1.65 0.3 Use gradient decent(GD) or stochastic gradient decent (SGD) to fit the data to the function g(x) by minimizing the RSS loss WRSS = Q - 8 ( x ( ) ) 2 1=1 Turn in any associated computations, your learning rate, and the parameters
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