The population dynamics of Differential Evolution: A mathematical model
Sambarta Dasgupta, Arijit Biswas, Swagatam Das, Ajith Abraham · 2008
Differential evolution (DE) is well known as a simple and efficient algorithm for global optimization over continuous spaces. This article provides a simple mathematical model of the underlying evolutionary dynamics of a one-dimensional DE. The model relates the search process of DE with the classical gradient descent search and also analyzes the convergence behavior of a DE population, very near to optima.