Global optimisation of sum of ratios problems represents a formidable challenge in contemporary applied mathematics and operations research. Such problems involve objective functions that are ...

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

Mathematical modelling and optimisation in packing problems constitute a critical research area that combines advanced algorithms, rigorous analytical formulations, and practical applications. This ...

Algorithms that zero in on solutions to optimization problems are the beating heart of machine reasoning. New results reveal surprising limits. Our lives are a succession of optimization problems.

Scientists have demonstrated a breakthrough application of neutral-atom quantum processors to solve problems of practical use. A collaboration between Harvard University with scientists at QuEra ...