Proving μ>1

04/24/2020
by   Laurent Meunier, et al.
0

Choosing the right selection rate is a long standing issue in evolutionary computation. In the continuous unconstrained case, we prove mathematically that μ=1 leads to a sub-optimal simple regret in the case of the sphere function. We provide a theoretically-based selection rate μ/λ that leads to better convergence rates. With our choice of selection rate, we get a provable regret of order O(λ^-1) which has to be compared with O(λ^-2/d) in the case where μ=1. We complete our study with experiments to confirm our theoretical claims.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset