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Let f: R2 + R be given by f(21,r2) =+*+ he ola + X1X2 where a E R is a scalar. Problem 1.4: Suppose that
Let f: R2 + R be given by f(21,r2) =+*+ he ola + X1X2 where a E R is a scalar. Problem 1.4: Suppose that a = 1/2, x = (1, -1) and we set xn+1 = x" Vf(a") = (i.e. fixed step size gradient descent with a 1). Does this sequence have the descent property f("+1) = f(a")? Does this sequence converge to a point in R2? Let f: R2 + R be given by f(21,r2) =+*+ he ola + X1X2 where a E R is a scalar. Problem 1.4: Suppose that a = 1/2, x = (1, -1) and we set xn+1 = x" Vf(a") = (i.e. fixed step size gradient descent with a 1). Does this sequence have the descent property f("+1) = f(a")? Does this sequence converge to a point in R2
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