paper

Derivative-Free Optimization Algorithms based on Non-Commutative Maps

arXiv:1805.07248

Abstract

A novel class of derivative-free optimization algorithms is developed. The main idea is to utilize certain non-commutative maps in order to approximate the gradient of the objective function. Convergence properties of the novel algorithms are established and simulation examples are presented.

Derivative-Free Optimization Algorithms based on Non-Commutative Maps · wovepaper