Question19 Consider the function [math]. Run gradient descent on this function with a starting point of [math] and learning rate [math]. Which of the following is true after 2 iterations? [math] [math] [math] [math] [math] ResetMaximum marks: 1 Flag question undefined单项选择题
A
𝑥 2 = 1.159
B
𝑥 2 = 1.454
C
𝑥 2 = 1.334
D
𝑥 2 = 1.023
E
𝑥 2 = 1.042

Question

Question19 Consider the function [math]. Run gradient descent on this function with a starting point of [math] and learning rate [math]. Which of the following is true after 2 iterations? [math] [math] [math] [math] [math] ResetMaximum marks: 1 Flag question undefined单项选择题

A

𝑥 2 = 1.159

B

𝑥 2 = 1.454

C

𝑥 2 = 1.334

D

𝑥 2 = 1.023

E

𝑥 2 = 1.042

BlackTom AI · Accepted Answer

Question19 presents a scenario about running gradient descent on a function with placeholders and asks which statement is true after 2 iterations. The essential details needed to compute any numeric result are missing: the explicit form of the function, the starting point, and the learning rate are not provided in the prompt. Without these, the exact path of the iterates cannot be determined, so any numeric claim about x2 after two steps cannot be verified.

Option 1: x2 = 1.159. This option asserts a specific numeric value for x2, but because the function, starting point, and learning rate are not given, there is no basis to compute or confirm this value. Any numeric result would be unfounded under the missing-data condition.

Option 2: x2 = 1.454. Like the first, this option proposes a precise value for x2 after two iterations, but with the function form, initial point, and learning rate unspecified, there is no way to derive or validate this number. It remains an unsupported guess.

Option 3: x2 = 1.334. Again, this is a specific prediction for x2 that cannot be justified without the full problem data. The absence of the function, starting point, and learning rate prevents a computation of the trajectory.

Option 4: x2 = 1.023. This choice suffers from the same fundamental issue: lacking the necessary details to perform the gradient step calculations, any particular numeric result after two iterations is not deducible.

Option 5: x2 = 1.042. Similarly, this value cannot be established given the missing information. It exemplifies another speculative numeric outcome that hinges on inputs not provided in the question.

Overall, every option that asserts a numeric x2 after two iterations relies on information that's not available. The only statement that aligns with the problem’s incomplete data is the one asserting that the correct determination cannot be made from the given information; all numeric predictions are unsupported without the function form, starting point, and learning rate.