Advanced Certificate in Mathematical Optimization: Fast Track
-- ViewingNowThe Advanced Certificate in Mathematical Optimization: Fast Track is a comprehensive course designed for professionals seeking to enhance their mathematical optimization skills. This certification focuses on conveying essential concepts, techniques, and algorithms in mathematical optimization, enabling learners to tackle complex real-world problems with data-driven approaches.
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⢠Linear Programming & Duality: Introduction to linear programming, standard and canonical forms, simplex method, duality theory, dual simplex method.
⢠Nonlinear Programming: Analysis of constrained and unconstrained optimization problems, necessary and sufficient conditions for optimality, gradient and Newton's methods.
⢠Interior Point Methods: Primal-dual interior point methods, Newton's method, polynomial-time complexity.
⢠Convex Optimization: Convex sets and functions, optimization over convex sets, duality and saddle point conditions.
⢠Large-Scale Optimization: Decomposition methods, distributed optimization, parallel computing.
⢠Semidefinite Programming: Standard form, duality, applications, solution methods.
⢠Integer Programming: Formulation, branch and bound, cutting plane methods, polyhedral theory.
⢠Stochastic Programming: Stochastic optimization models, scenario decomposition, stochastic approximation.
⢠Robust Optimization: Robust optimization models, robust counterparts, distributionally robust optimization.
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