This Python library implements homotopy-based optimization methods designed to solve convex optimization problems, with a particular focus on semidefinite programs, hyperbolic programs, and convex ...

Letian YI, Siyuan YANG, Ying CUI, and Zhilu LAI (2025). Transforming Physics-Informed Machine Learning to Convex Optimization. Physics-Informed Machine Learning (PIML) offers a powerful paradigm of ...

The goal of this course is to investigate in-depth and to develop expert knowledge in the theory and algorithms for convex optimization. This course will provide a rigorous introduction to the rich ...

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

Estimation of mixture densities for the classical Gaussian compound decision problem and their associated (empirical) Bayes rules is considered from two new perspectives. The first, motivated by Brown ...

This is a preview. Log in through your library . Abstract Convex optimization is an increasingly important theme in applications. We consider the construction of a binary classification rule by ...

Abstract: This paper introduces a novel optimization method for designing rotated subarrays. Rotated subarrays typically employ modular configurations with large element spacing to enable ...