Weak and Strong Duality

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Duality in Linear Programming

Explores the concept of duality in linear programming, discussing the relationship between primal and dual problems.

Duality: Economic Interpretation

Explores duality in linear programming, strong duality, complementary slackness, and the economic interpretation of dual variables as prices.

Optimization Techniques: Convexity and Algorithms in Machine Learning

Covers optimization techniques in machine learning, focusing on convexity, algorithms, and their applications in ensuring efficient convergence to global minima.

Equality and Inequality Constraints: Optimization Conditions

Covers necessary optimality conditions for optimization with constraints and discusses cones and polar sets.

Linear Programming Duality

Covers linear programming duality and complementary slackness condition.

Support Vector Regression: Recap and Convex Optimization

Covers the recap of Support Vector Regression with a focus on convex optimization and its equivalence to Gaussian Process Regression.

Optimal Decision Making: Duality

Delves into duality in optimization, weak duality, cost certificates, and transforming non-linear programs into linear ones.

Optimization Principles

Covers optimization principles, including linear optimization, networks, and concrete research examples in transportation.

Legendre Transform

Explores the Legendre transform, duality in convex analysis, and optimization problems.

Linear Optimization: Auxiliary Problem

Explores the formulation of the auxiliary problem in linear optimization and its role in optimal decision-making.