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Related lectures (30)
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Survey Propagation: Cavity Method
Explores the Survey Propagation algorithm and its application in solving constraint satisfaction problems.
Molecular Dynamics Simulations: Energy Conservation
Explores energy conservation in Hamiltonian systems, numerical integration, time step choices, and constraint algorithms in molecular dynamics simulations.
Simplex Algorithm
Covers the Simplex algorithm for function minimization with linear constraints.
Stationary Points Analysis
Covers the analysis of stationary points in functions, focusing on optimization methods.
Optimization with Constraints: KKT Conditions Explained
Covers the KKT conditions for optimization with constraints, detailing their application and significance in solving constrained problems.
The Backpack Problem
Introduces the backpack problem, a discrete optimization problem with constraints and algorithms to solve it.
Lagrange Multipliers Theorem
Explores the Lagrange Multipliers Theorem, covering extrema conditions and geometric interpretations.
Optimization Methods
Covers optimization methods without constraints, including gradient and line search in the quadratic case.
Single Inequality or Equality Constraint
Covers single inequality or equality constraints and necessary optimality conditions in optimization problems.
Linear Programming: Optimization and Duality
Introduces linear programming, optimization, and duality concepts with a focus on the simplex method and practical examples.