Nonconvex Optimization Courses and Certifications

Institute for Mathematical Sciences

Nonconvex Stochastic Programs: Chance Constraints

Explore nonconvex stochastic programs and chance constraints with Jong-Shi Pang, delving into advanced mathematical concepts for optimization under uncertainty.

• YouTube
• 42 minutes
• On-Demand
• Free Online Course

Institute for Mathematical Sciences

Nonconvex Stochastic Programs - Deterministic Constraints

Explore nonconvex stochastic programs with deterministic constraints, presented by Jong-Shi Pang from USC. Gain insights into advanced mathematical concepts and their applications.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

Simons Institute

On Gradient-Based Optimization - Accelerated, Distributed, Asynchronous and Stochastic

Explore advanced gradient-based optimization techniques for machine learning, including accelerated, distributed, asynchronous, and stochastic methods, with insights from differential geometry and nonconvex optimization.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course

Alan Turing Institute

Optimisation - An Introduction: Professor Coralia Cartis, University of Oxford

Explore optimization techniques, from basic concepts to advanced methods, covering minimizers, derivatives, quadratic functions, and gradient methods for solving complex mathematical problems.

• YouTube
• 2 hours 31 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Certificates of Nonnegativity and Their Applications in Theoretical Computer Science

Explore nonnegativity certificates in real algebraic geometry, focusing on sums of squares and sums of nonnegative circuit polynomials, with applications to polynomial optimization and theoretical computer science.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Methods for L_p-L_q Minimization in Image Restoration and Regression - SIAM-IS Seminar

Explore methods for image restoration and regression using $\ell_p$-$\ell_q$ minimization, covering problem formulation, solution techniques, and applications in this advanced mathematical seminar.

• YouTube
• 1 hour
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Robust Regression by Purushottam Kar

Explore robust regression techniques for learning and estimation in algorithms and optimization, focusing on practical applications and theoretical foundations.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

The Effectiveness of Nonconvex Tensor Completion - Fast Convergence and Uncertainty Quantification

Explores nonconvex optimization for tensor completion, proposing a two-stage algorithm with guaranteed success, linear convergence, and statistical accuracy. Discusses distribution characterization and confidence interval construction.

• YouTube
• 33 minutes
• On-Demand
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

Nonconvex Optimization in Matrix Optimization and Distributionally Robust Optimization

Explore nonconvex optimization in matrix and distributionally robust contexts, covering algorithms, complexity, and applications in machine learning with Stephen Wright.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

IEEE Signal Processing Society

Optimization in Signal Processing and Machine Learning

Explore optimization in signal processing with Prof. John Wright, covering topics like overcomplete dictionaries, nonconvex optimization, and blind deconvolution.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Online Course

International Mathematical Union

Evaluation Complexity of Algorithms for Nonconvex Optimization

Overview of global convergence rates and evaluation complexity for nonconvex smooth optimization methods, comparing steepest descent and Newton's method, and exploring benefits of higher-order regularization algorithms.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Stochastic Primal Dual Splitting Algorithms for Convex and Nonconvex Composite Optimization in Imaging

Explore stochastic primal dual splitting algorithms for convex and nonconvex composite optimization in imaging, focusing on SPDFP and SVRG-PDFP methods and their applications.

• YouTube
• 49 minutes
• On-Demand
• Free Online Course

Paul G. Allen School

On Gradient-Based Optimization: Accelerated, Stochastic and Nonconvex

Explores advanced gradient-based optimization techniques for large-scale data analysis, including Nesterov acceleration, escaping saddle points, and accelerating Langevin diffusion.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course

Alan Turing Institute

Masterclass for Optimisation - Professor Coralia Cartis, University of Oxford

Explore advanced optimization techniques for large-scale problems with Professor Coralia Cartis. Learn about algorithm development, analysis, and implementation for various problem classes in numerical optimization.

• YouTube
• 1 hour 53 minutes
• On-Demand
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

On Quantum Speedups for Nonconvex Optimization via Quantum Tunneling Walks

Explore quantum speedups for nonconvex optimization using quantum tunneling walks, offering advantages over classical algorithms for problems with high, thin barriers between local minima.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course