Problem Consider the following optimization problem: min f(x, y) = 3x? + y* x,y (a). Apply one iteration of the gradient descent algorithm with (1, -2) as the initial point and with the parameters a = 0.1 and B = 0.5 (b) Repeat (a) using a = 0.1 but B = 0.1 instead. How does the f- value of the new iterate compare to that in (a). (c) Comment on the tradeoffs involved in choice of B.
Problem Consider the following optimization problem: min f(x, y) = 3x? + y* x,y (a). Apply one iteration of the gradient descent algorithm with (1, -2) as the initial point and with the parameters a = 0.1 and B = 0.5 (b) Repeat (a) using a = 0.1 but B = 0.1 instead. How does the f- value of the new iterate compare to that in (a). (c) Comment on the tradeoffs involved in choice of B.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 28E
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