"* Assume that $f$ is non-convex but can be decomposed into a sum of convex and concave functions such that $f = g+h$ ,where $g$ is convex and $h$ is concave. \n ...

This project focuses on implementing the Particle Swarm Optimization (PSO) algorithm to optimize a non-convex function. PSO, a bio-inspired optimization algorithm, mimics the social behavior observed ...

The secondary aim is to provide important applications of this calculus and of the properties of convex functions. Such applications are: the study of well-conditioned convex functions, uniformly ...

and their variants are designed to find the global minimum of strongly convex functions. When these algorithms are applied to the minimization of non-convex functions they offer no robust theoretical ...

ABSTRACT: In this paper we have considered a non convex optimal control problem and presented the ... With a parametric approach, the functions are assumed to be pseudo-invex and v-invex.

An Euler discretization of the Langevin diffusion is known to converge to the global minimizers of certain convex and non-convex optimization problems. We show that this property holds for any ...

Abstract: We study distributed non-convex optimization on a time-varying multi-agent network. Each node has access to its own smooth local cost function, and the collective goal is to minimize the sum ...

The non-concavity of the MRP curve (especially in production ... it is not likely that the product of two convex functions is linear or concave curves. The MRP curves, for almost all possible cases, ...