Weak and Strong DualityCovers weak and strong duality in optimization problems, focusing on Lagrange multipliers and KKT conditions.
Approximation AlgorithmsCovers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Linear Programming DualityExplores linear programming duality, covering constraints, variables, solutions, and the relationship between primal and dual LP.
Linear Programming DualityExplores Linear Programming Duality, covering weak duality, strong duality, Lagrange multipliers interpretation, and optimization constraints.
Duality: Economic InterpretationExplores duality in linear programming, strong duality, complementary slackness, and the economic interpretation of dual variables as prices.
KKT and Convex OptimizationCovers the KKT conditions and convex optimization, discussing constraint qualifications and tangent cones of convex sets.
Optimization PrinciplesCovers optimization principles, including linear optimization, networks, and concrete research examples in transportation.
Convexity of Lovász ExtensionExplores the convexity of Lovász extension and submodular function maximization, focusing on extending functions to convex sets and proving their convexity.