Concept

Polytope

Related lectures (9)

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

Explores the closest vector problem in lattices and the role of Voronoi cells in determining the closest vector.

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

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

Explores extreme points, vertices, and basic feasible solutions in polyhedra, emphasizing their properties and construction.

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

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

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.