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
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
0 Comments:
Post a Comment
<< Home