Question

The cyclic coordinate method of optimization depends on the properties of objective functions.

(a) True

(b) False

I got this question in an online interview.

The origin of the question is Next Generation Wireless Network topic in chapter Next Generation Wireless Network of Cognitive Radio

Answer 1

The correct answer is:

(a) True

Explanation:

The Cyclic Coordinate Method (CCM) of optimization is a technique used to solve optimization problems by iteratively optimizing one coordinate (or variable) at a time, while keeping the others fixed. This method relies on the properties of the objective function, particularly its differentiability and smoothness, to efficiently converge toward the optimal solution.

The cyclic approach works by cyclically optimizing each variable or coordinate in the solution space, taking advantage of the fact that many objective functions have properties that make them amenable to such iterative methods. The method assumes that optimizing each coordinate one at a time, while keeping others constant, eventually leads to the overall optimum.

Thus, the statement that "the cyclic coordinate method of optimization depends on the properties of objective functions" is true, as the success of the method depends on the smoothness and differentiability of the objective function, which allows the method to make progress in the optimization process.