Convex geometry and combinatorial optimisation form a vibrant nexus of research that bridges theoretical mathematics with practical algorithm design. The study of convex sets and their structural ...

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

Introduction to the theory of convex sets and functions and to the extremum problems in areas of mathematics where convexity plays a role. Your Final Grade in the ...

The course will take an in-depth look at the main concepts and algorithms in convex optimization. The goal is to develop expert knowledge in duality and in the design and analysis of algorithms for ...

where \(\mathsf{G}(\cdot)\) is some convex operator and \(\mathcal{F}\) is as set of feasible input distributions. Examples of such an optimization problem include finding capacity in information ...