A derivative-free optimization (DFO) method is an that does not make use of derivative information in order to find the optimal solution. It advantageous for solving real-world problems which only available about objective function output a specific input. In this paper, we develop framework DFO called DQL method. designed be versatile hybrid capable performing direct search, quadratic-model an...

Structured optimization problems are ubiquitous in fields like data science and engineering. The goal structured is using a prescribed set of points, called atoms, to build up solution that minimizes or maximizes given function. In the present paper, we want minimize black-box function over convex hull problem can be used model number real-world applications. We focus on whose solutions sparse,...