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ECE $4870/7870$ CS $4770/7770$ F$\text{'}24$

EC Assignment

Due $9/12/2024$

Suppose that in a standard function maximization application of a GA$,$ the $5$ chromosomes at a given generation have the following fitness values.

$30,3,15,2,50$

a$)$ Construct the "roulette wheel" for selection of parents using the standard approach where

$p_i=\frac{f_i}{{\displaystyle \underset{j=1}{\overset{N}{}}}{f}_j}$

What is the probability that each chromosome is selected?

b$)$ Assume that instead of a maximization problem, we are selecting for a minimization problem using the softmax approach where

$p_i=\frac{\text{e}\text{x}\text{p}(f_i)}{{\displaystyle \underset{j=1}{\overset{N}{}}}\text{e}\text{x}\text{p}(f_j)}$

Let $=-0\mathrm{.}1.$ Now what are the probabilities that each chromosome is selected?

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Back EC Assignment.pdf

ECE $4870/7870$ CS $4770/7770$ F$\text{'}24$

EC Assignment

Due $9/12/2024$

Suppose that in a standard function maximization application of a GA$,$ the $5$ chromosomes at a given generation have the following fitness values.

$30,3,15,2,50$

a$)$ Construct the "roulette wheel" for selection of parents using the standard approach where

$p_i=\frac{f_i}{{\displaystyle \underset{j=1}{\overset{N}{}}}{f}_j}$

What is the probability that each chromosome is selected?

b$)$ Assume that instead of a maximization problem, we are selecting for a minimization problem using the softmax approach where

$p_i=\frac{\text{e}\text{x}\text{p}(f_i)}{{\displaystyle \underset{j=1}{\overset{N}{}}}\text{e}\text{x}\text{p}(f_j)}$

Let $=-0\mathrm{.}1.$ Now what are the probabilities that each chromosome is selected?

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