Linear Optimization: Fundamentals

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Related lectures (49)

Introduction to Optimization Log in to Mediaspace to watch this video

Introduces linear algebra, calculus, and optimization basics in Euclidean spaces, emphasizing the power of optimization as a modeling tool.

Convex Optimization Problems: Standard Form Log in to Mediaspace to watch this video

Covers convex optimization problems, transformation to standard form, and optimality criteria for differentiable objectives.

Portfolio Optimization: Models and Strategies Log in to Mediaspace to watch this video

Explores portfolio optimization models and strategies under uncertainty, emphasizing decision criteria like value-at-risk and mean-variance functional.

Initial BFS: Finding Solutions Log in to Mediaspace to watch this video

Covers the concept of finding an initial BFS and solving related optimization problems.

Optimization Techniques: Gradient Descent and Convex Functions Log in to Mediaspace to watch this video

Provides an overview of optimization techniques, focusing on gradient descent and properties of convex functions in machine learning.

Optimal Decision Making: Integer Programming Log in to Mediaspace to watch this video

Covers integer programming, convex hulls, Gomory cutting planes, and branch and bound methods.

Optimization: Constrained Volume Problems Log in to Mediaspace to watch this video

Explores constrained volume problems using Lagrange multipliers to find extrema under constraints in various examples.

Lagrange Multipliers Theorem Log in to Mediaspace to watch this video

Covers the Lagrange Multipliers Theorem and its applications in finding extrema.

Proximal Gradient Descent: Optimization Techniques in Machine Learning Log in to Mediaspace to watch this video

Discusses proximal gradient descent and its applications in optimizing machine learning algorithms.

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