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Related lectures (32)
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Optimization Problems: Standard Form
Explores optimization problems in standard form, convex optimization, and optimality criteria.
Distributionally Robust Portfolio Optimization
Explores distributionally robust portfolio optimization and compares different estimation approaches and methods for portfolio evaluation.
Image Denoising and Reconstruction
Covers denoising and reconstructing images using total variation minimization and discusses the visual effects of different regularization strengths.
Max-Cut Problem: SDP Relaxation and Randomized Rounding
Explores the Max-Cut Problem, its relaxation using SDP, and Polynomial Optimization.
Two Inequalities and Feasible Cone: Linearized Approach
Explains feasible directions, linearized cone, and Constraint Qualification conditions in optimization.
Robust Optimization: Polynomial Optimization
Explores polynomial optimization, including writing polynomials as matrix products and solving linear equations for nonnegativity.
Optimal Decision Making: Sensitivity Analysis
Covers sensitivity analysis in linear programming, focusing on optimal solutions and their sensitivities to changes.
Lyapunov Stability: Convex Optimization
Covers Lyapunov stability in convex optimization and its implementation through trajectory plots.
Quadratic Penalty Methods: Concepts and Algorithms
Explores quadratic penalty methods for nonconvex-concave optimization problems and introduces primal-dual algorithms with penalty functions.
Exact methods: Gomory cuts
Covers the application of Gomory cuts in linear programming problems.