Variational Methods Courses and Certifications

Fertig Research Group: Multiscale Failure of Materials

Variational Methods and Energy Principles in Mechanics

Master variational calculus and energy principles in mechanics through functionals, Euler-Lagrange equations, and applications to elasticity problems.

• YouTube
• 5 hours 47 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

NPTEL-NOC IITM

Introduction to Rayleigh-Ritz Method

Discover the Rayleigh-Ritz Method, a powerful mathematical technique for approximating solutions to variational problems and eigenvalue equations in engineering and physics.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

IIT Guwahati;  NPTEL

Finite Element Method: Variational Methods to Computer Programming

Derives finite element formulations from variational methods and implements generalized 1D and 2D structural and thermal FEM codes.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Bayesian Inference Fundamentals

Apply Bayes' theorem to random variables, use conjugate priors, derive credible intervals, and implement Gibbs sampling and Metropolis-Hastings with convergence diagnostics.

• Coursera
• 4 weeks, 5 hours a week
• Self-Paced
• Paid Course

Advanced Bayesian Methods and Applications

Apply variational inference, Bayesian decision theory, Gaussian processes, and Dirichlet processes, building probabilistic models in PyMC with applications in sports analytics and medical informatics.

• Coursera
• 6 weeks, 4 hours a week
• Self-Paced
• Paid Course

Fertig Research Group: Multiscale Failure of Materials

Advanced Finite Element Analysis

Master advanced finite element techniques including nonlinear analysis, continuum mechanics, dynamic systems, and variational methods for complex engineering problems.

• YouTube
• 17 hours
• Self-Paced
• Free Video

Paul Hand

Variational Autoencoders

Explore how variational autoencoders generate data through latent codes, balancing reconstruction accuracy and distribution regularization with the variational lower bound.

• YouTube
• 43 minutes
• Self-Paced
• Free Video

MIT HAN Lab

Quantum Machine Learning - Lecture 22

Explore quantum machine learning concepts and applications in this advanced lecture from MIT's EfficientML.ai series, covering cutting-edge developments in the field.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

MIT HAN Lab

Quantum Machine Learning - Lecture 22

Explore quantum machine learning concepts and applications in this advanced MIT lecture, covering cutting-edge developments in the field.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Introduction to the Finite Element Method - Basic Framework of FEM

Explore the fundamental concepts and framework of the Finite Element Method (FEM) in this introductory video lecture.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Qiskit

Variational Quantum Eigensolver with Qiskit Runtime Primitives and Sessions - Episode 5

Explore the Variational Quantum Eigensolver implementation using Qiskit Runtime, focusing on Primitive configurations and practical session management for quantum computations.

• YouTube
• 13 minutes
• Self-Paced
• Free Video

Qiskit

Exploring Quantum Machine Learning - Near-Term Algorithms and Applications

Dive into quantum machine learning fundamentals, exploring variational quantum circuits, quantum kernels, support vector machines, and neural networks for practical applications in quantum computing.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Qiskit

Variational Quantum Eigensolver - Deep Dive into Algorithm Implementation

Dive into the technical foundations of hybrid quantum-classical algorithms, focusing on eigenvalue estimation through parametrized quantum circuits and Hamiltonian optimization.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Alfredo Canziani

Self-Supervised Learning and Variational Inference

A lecture on self-supervised learning through sparse modeling, amortized inference, temporal consistency, and probabilistic interpretations of VAEs.

• YouTube
• 1 hour 55 minutes
• Self-Paced
• Free Video