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Simplex Algorithm: Initial Tableau, Simple Case
Covers the simplex algorithm applied to the simple case of inequality constraints.
Linear Programming Basics
Introduces linear programming basics, including optimization problems, cost functions, simplex algorithm, geometry of linear programs, extreme points, and degeneracy.
Simplex Method: Basics and Applications
Covers the basics of the Simplex method and its application in solving optimization problems.
Linear Optimization: Finding Initial BFS
Explains the process of finding an initial Basic Feasible Solution for linear optimization problems using the Simplex Algorithm.
Simplex Algorithm: Graphical Method
Illustrates the simplex algorithm through a graphical method to find optimal solutions.
Support Vector Machines: SVM Basics
Covers the basics of Support Vector Machines, focusing on hard-margin and soft-margin formulations.
Linear Optimization: Auxiliary Problem
Explores the formulation of the auxiliary problem in linear optimization and its role in optimal decision-making.
Linear Models for Classification
Covers linear models for classification, including SVM, decision boundaries, support vectors, and Lagrange duality.
Hedging for LPs
Covers the concept of hedging for Linear Programs and the simplex method, focusing on minimizing costs and finding optimal solutions.
Integer Programming Basics
Covers the basics of integer programming, focusing on problems with integer values and discussing the simplex algorithm.