Lectures related to Polynomial Optimization: SOS and SDP

Optimization Techniques: Convexity in Machine Learning

Covers optimization techniques in machine learning, focusing on convexity and its implications for efficient problem-solving.

Linear Programming: Weighted Bipartite Matching

Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.

Optimization Methods in Machine Learning

Explores optimization methods in machine learning, emphasizing gradients, costs, and computational efforts for efficient model training.

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.

KKT and Convex Optimization Log in to Mediaspace to watch this video

Covers the KKT conditions and convex optimization, discussing constraint qualifications and tangent cones of convex sets.

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.

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

Explores optimization problems in standard form, convex optimization, and optimality criteria.

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.

Convex Optimization: Dual Cones Log in to Mediaspace to watch this video

Explores dual cones, generalized inequalities, SDP duality, and KKT conditions in convex optimization.

Convex Sets: Mathematical Optimization Log in to Mediaspace to watch this video

Introduces convex optimization, covering convex sets, solution concepts, and efficient numerical methods in mathematical optimization.

Lagrangian Duality: Convex Optimization Log in to Mediaspace to watch this video

Explores Lagrangian duality in convex optimization, transforming problems into min-max formulations and discussing the significance of dual solutions.

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.

Convex Optimization: Self-dual Cones Log in to Mediaspace to watch this video

Explores self-dual cones in convex optimization and their applications in various optimization problems.

KKT for convex problems and Slater's CQ Log in to Mediaspace to watch this video

Covers the KKT conditions and Slater's condition in convex optimization problems.

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.

Convex Optimization: Exercises Log in to Mediaspace to watch this video

Covers exercises on convex optimization, focusing on formulating and solving optimization problems using YALMIP and solvers like GUROBI and MOSEK.

Image Denoising and Reconstruction Log in to Mediaspace to watch this video

Covers denoising and reconstructing images using total variation minimization and discusses the visual effects of different regularization strengths.

Convex Optimization: Introduction and Sets Log in to Mediaspace to watch this video

Covers the fundamentals of convex optimization, including mathematical problems, minimizers, and solution concepts, with an emphasis on efficient methods and practical applications.

Introduction to Optimization Log in to Mediaspace to watch this video

Covers the basics of optimization, including historical perspectives, mathematical formulations, and practical applications in decision-making problems.

Convex Sets: MGT-418 Lecture Log in to Mediaspace to watch this video

On Convex Optimization covers course organization, mathematical optimization problems, solution concepts, and optimization methods.