Geometric optimisation and approximation algorithms form a vibrant research area that intersects computational geometry, combinatorial optimisation and algorithm design. Researchers are dedicated to ...

This paper presents an application of stochastic (posynomial) geometric programming to an optimal engineering design problem. A theory developed by Avriel and Wilde for calculating and bounding the ...

Integer programming is a crucial branch of mathematical optimisation that focuses on problems where some or all decision variables are constrained to be integers. This field underpins many practical ...

In this paper, we give an applications-oriented survey of geometric programming. This important class of nonlinear programming problems has been intensively studied over the past decade and has played ...

This course discusses basic convex analysis (convex sets, functions, and optimization problems), optimization theory (linear, quadratic, semidefinite, and geometric programming; optimality conditions ...

Recent advancements, such as Group Relative Policy Optimization (GRPO), have enhanced the reasoning capabilities of large language models by optimizing the arithmetic mean of token-level rewards.

Abstract: This paper proposes a novel distributed power optimization framework using DC programming to enhance energy efficiency and interference management in wireless networks. Traditional power ...