Robust GA
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Is their any way to test my GA method that it is not finding a local minima and that it is robust enough?
Many thanks in advance
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Walter Roberson
2011-9-20
Give it a test case such that one particular (multidimensional) point is associated with the value one, and every other (multidimensional) point is associated with the value 0. For example, the 3D case
(x(1)==pi && x(2) == exp(1) && x(3) == sqrt(2))
Or if you want to simulate a distinct local minima, you could use
(x(1)==pi) + (x(2) == exp(1)) + (x(3) == sqrt(2))
It would be interesting to see a GA that would, without prompting, find even one of the local minima, let alone the maxima.
2 个评论
Hazem
2011-9-21
Walter Roberson
2011-9-21
Without seeing your GA code, all I can suppose is that it is like the vast majority of other GA code, being confined to finding the global min or global max *probabilistically* rather than robustly.
Take a sample case and make the global maximum as narrow (improbable to wander in to) as is consistent with any domain constraints you might have. [Ideally, your code would have checks that would reject data that violated the constraints.] Is your GA code able to find the global max "robustly" under those conditions?
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