Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Consider the case whereby you are given a population-based, iterative algorithm used for stochastic search in an optimization (minimization) setting. In every iterate, a population
Consider the case whereby you are given a population-based, iterative algorithm used for stochastic search in an optimization (minimization) setting. In every iterate, a population or collection of solutions p = {x1,x2,..., xpopsize}, ri e S is found. The quality or objective value of each solution x' is f(x'), whereby the minimization function is of the form f:S R. In this minimization setting, the algorithm generates a sequence of populations (pt) = Po, P1, P2, ..., Ptmax. Prove the correctness of this program (algorithm). You can make some simplifying assumption: (i) Able to compute or is given the objective value for any solution xe S, that is, f(x). (ii) tmax is the number of iterates and is known. (iii) There is only one minimum solution x* that is known with f(x*) = 0. (iv) The minimum solution is guaranteed to be found within tmax iterates. Hint: one can always choose the best solution of the population in each iterate to keep track of progress of the algorithm. Full marks for further arguments for proving total correctness
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started