Variational Methods Courses and Certifications

Institute for Pure & Applied Mathematics (IPAM)

Variational Methods for Computational Microscopy - IPAM at UCLA

Explore variational methods for computational microscopy with Stanley Osher, covering advanced techniques and applications in image processing and analysis.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Regularity of Minimizers for a Model of Charged Droplets

Explore the shape and properties of charged liquid droplets through a mathematical model, examining surface tension, repulsive forces, and the development of singularities in droplet formation.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Probabilistic AI School

Variational Inference and Optimization - Lecture 3

Explore advanced variational inference and optimization techniques for probabilistic AI, focusing on cutting-edge methods and practical applications.

• YouTube
• 45 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Data Assimilation - Variational Methods - Lecture 8

Explore variational methods in data assimilation for weather and climate modeling. Learn theoretical foundations and practical applications to enhance atmospheric state estimation and forecasting accuracy.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Minimization Problems for the Axisymmetric Neo-Hookean Energy

Explore minimization problems for axisymmetric neo-Hookean energy, focusing on existence of minimizers, energy concentration, and bounds for relaxed energy in critical Sobolev cases.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Integral Representation and T-Convergence for Free-Discontinuity Problems

Explore integral representation and T-convergence for free-discontinuity problems in GSBV p(.) space, focusing on variable exponent energies and their asymptotic behavior.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Variational Methods for Hyperbolic Evolutions and Fluid-Structure Interactions

Explore variational approaches to hyperbolic evolutions and fluid-structure interactions, focusing on well-posedness results for solid evolutions and fluid-solid interactions.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

A Variational Method for Functionals Depending on Eigenvalues

Explore a new variational method for optimizing eigenvalue-dependent functionals in spectral geometry, simplifying and unifying previous results in 2D and extending to higher dimensions.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Approximation Methods

Explore quantum mechanics approximation methods, including perturbation theory and variational techniques. Gain practical skills to solve complex problems in quantum systems.

• Coursera
• 14 hours 5 minutes
• On-Demand
• Free Online Course (Audit)

IIT Guwahati;  NPTEL

Finite Element Method: Variational Methods to Computer Programming

Comprehensive exploration of Finite Element Method, from variational principles to practical implementation, covering 1D and 2D problems with hands-on computer programming in MATLAB.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Finite Element Methods

Comprehensive exploration of finite element methods for solving differential equations, covering theory, applications, and practical implementations in various engineering problems.

• Swayam
• 16 weeks
• On-Demand
• Free Online Course

Yannic Kilcher

Set Distribution Networks - A Generative Model for Sets of Images

Explores a novel framework for generating and encoding sets of images, introducing Set Distribution Networks that can create new object/identity sets while preserving key attributes.

• YouTube
• 59 minutes
• On-Demand
• Free Video

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 Video

International Mathematical Union

Modern Regularization Methods in Inverse Problems and Data Science

Explores recent developments in variational methods for inverse problems and machine learning, discussing convergent regularization schemes, quantitative estimates, and connections between classical regularization theory and risk minimization.

• YouTube
• 45 minutes
• On-Demand
• Free Video

ICTP Mathematics

Partial Differential Equations - Lecture 25

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video