Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Home

Lecture

Equivalent formulation

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (55)

Weak and Strong Duality Log in to Mediaspace to watch this video

Covers weak and strong duality in optimization problems, focusing on Lagrange multipliers and KKT conditions.

Lagrange Multipliers Theorem Log in to Mediaspace to watch this video

Explores the Lagrange multipliers theorem for n>2, demonstrating its application in optimization problems with constraints.

Quadratic Penalty Methods: Sound Problems Log in to Mediaspace to watch this video

Explores Quadratic Penalty Methods for optimization with enforced constraints using penalty functions.

Linear Programming Duality Log in to Mediaspace to watch this video

Explores Linear Programming Duality, covering weak duality, strong duality, Lagrange multipliers interpretation, and optimization constraints.

Cones of convex sets Log in to Mediaspace to watch this video

Explores optimization on convex sets, including KKT points and tangent cones.

Weak Derivatives: Definition and Properties Log in to Mediaspace to watch this video

Covers weak derivatives, their properties, and applications in functional analysis.

Optimization Techniques: Stochastic Gradient Descent and Beyond Log in to Mediaspace to watch this video

Discusses optimization techniques in machine learning, focusing on stochastic gradient descent and its applications in constrained and non-convex problems.

Optimization Techniques: Convexity and Algorithms in Machine Learning Log in to Mediaspace to watch this video

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

Convex Optimization Problems: Theory and Applications Log in to Mediaspace to watch this video

Explores convex optimization problems, optimality criteria, equivalent problems, and practical applications in transportation and robotics.

Linear Optimization: Finding Initial BFS Log in to Mediaspace to watch this video

Explains the process of finding an initial Basic Feasible Solution for linear optimization problems using the Simplex Algorithm.

Simplex Method: Basics and Applications Log in to Mediaspace to watch this video

Covers the basics of the Simplex method and its application in solving optimization problems.

Lagrange Multiplier and DuBois-Reymond Equation Log in to Mediaspace to watch this video

Explores Lagrange multiplier method and DuBois-Reymond equation in optimization.

Robust Optimization: Polynomial Approximation & Uncertainty Sets Log in to Mediaspace to watch this video

Explores robust optimization through polynomial approximation and uncertainty sets, including robust linear programs and optimization tricks.

Gradient Descent: Optimization and Constraints Log in to Mediaspace to watch this video

Discusses gradient descent for optimization with equality constraints and iterative convergence criteria.

Proof of Strong Duality Log in to Mediaspace to watch this video

Covers the proof of strong duality in optimization problems and provides examples of Rayleigh quotient optimization.

Quantile Regression: Linear Optimization Log in to Mediaspace to watch this video

Covers quantile regression, focusing on linear optimization for predicting outputs and discussing sensitivity to outliers, problem formulation, and practical implementation.

Linear Programming Duality Log in to Mediaspace to watch this video

Explores the concept of duality in linear programming and its practical implications in optimization.

Convex Optimization Tutorial: KKT Conditions Log in to Mediaspace to watch this video

Explores KKT conditions in convex optimization, covering dual problems, logarithmic constraints, least squares, matrix functions, and suboptimality of covering ellipsoids.

Cutset Formulation: MST Problem Log in to Mediaspace to watch this video

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

The Simplex Algorithm: Efficiency and Degeneracy Log in to Mediaspace to watch this video

Covers the Simplex Algorithm, focusing on efficiency and degeneracy in linear optimization problems.

Page 2 of 3