Evolution Strategies Comparison

Hello, My Friends!! :D

NOTE: Correction made: before I had writen (5+5)-ES where now is (25+25)-ES.

Today I will show a little comparison that I made with the Evolution Strategies(ES). I tested three ES:

(60+60)-ES
(15,120)-ES
(25+25)-ES

In all I used the same kind of genetic operators: mutation and crossover. The (25+25)-ES I made some modifications and these seems to have worked very well, once that ES was the best in all tests. The (25+25)-ES used only 500 generations, the other two used 3000.

First Test: The Easom Function
Global Optimum: x1 = x2 = pi; f(x1,x2) = -1;
Minimization Problem.



The "Red Line" is the (25+25)-ES, the "Blue Line" is the (60+60)-ES and the "Black Line" is the (15,120)-ES.

I think that the (15,120)-ES was so random, it remembers me a random walk.

Second Test: Schaffer Function
Global Optimum: x1=x2=0; f(x1,x2)=0;
Minimization Problem.




The "Red Line" is the (25+25)-ES, the "Blue Line" is the (60+60)-ES and the "Black Line" is the (15,120)-ES.

Third Test: Michalewicz Function.
Global Optimum:x1=x2=pi/2; f(x1,x2)=-2;
Minimization Problem.



The "Red Line" is the (25+25)-ES, the "Blue Line" is the (60+60)-ES and the "Green Line" is the (15,120)-ES.

A closer view:




Well, as you see in all three cases the (25+25)-ES was superior in achieving the global optimum, even using a smaller population and using only 500 generations.

Até Mais!!!

[]´s

Nosophorus

I'm Back!!!

Hello, People!! :D

I have had absent from my blog a long time, I was busy with the final of semester at University doing the last tests and works. So, I got a "Good" grade in the Performance Course(here in brazilian Universities the grades are: insuficient, regular, good and excelent) and I will not so likely see the face of that guy again and all his bullshit about Soft Computing. It was very funny when he said in the last class that he must know very well his field (Markov Chain Analysis) and, at same time, he needs to have a critique view about the other fields, like Evolutionary Computation. I only think very strange a person wants to critic a thing that he/she knows nothing about and never implemented and/or studied any algorithm and/or article. What does he know about Soft Computing ? Does he know a little about the system to say something ? He was not very wise in these aspects. But... anyway. :D

[]´s

Nosophorus