A New Hybrid Differential Evolution with Wavelet Based Mutation and Crossover
Jiewen Lai, C.W. Yeung, Frank H. F. Leung · Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University) · 2009
An improved Differential Evolution (DE) that incorporates wavelet-based mutation and crossover operations is proposed. In the mutation operation, the scaling factor is controlled by a wavelet function. In the crossover operation, the trial population vectors are modified by a wavelet function. The wavelet theory applied is to enhance DE in exploring the solution space more effectively for a better solution. A suite of benchmark test functions is employed to evaluate the performance of the proposed method. It is shown empirically that the proposed method outperforms significantly the conventional methods in terms of convergence speed, solution quality and solution stability.