Closest Vector Problem: Voronoi Cells

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Covers linear inequalities, active constraints, and equivalent linear programs.

Explores the Closest Vector Problem and Voronoi cells in lattice reduction algorithms.

Explores convex polyhedra, linear programs, and their optimization importance.

Explores Hamiltonian dynamics on convex polytopes, covering symplectic capacities, EHZ capacity, and systolic ratio maximizers.

Covers the fundamentals of integer programming and network flows in directed graphs.

Covers optimization problems in path finding and portfolio allocation.

Explores the cutset formulation for the MST Problem and Gomory Cutting Planes method.

Explores the geometric explanation of why Lasso solutions are sparse and how coefficients change with the regularization parameter.

Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.

Explores optimization methods, including unconstrained problems, linear programming, and heuristic approaches.