Variational Methods Courses and Certifications

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

What Is the Variational Quantum Eigensolver - VQE Explained

Explore the Variational Quantum Eigensolver (VQE), a hybrid quantum-classical algorithm covering Hamiltonians, ansatz concepts, parameter optimization, and Qiskit implementation.

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

International Centre for Theoretical Sciences

Workshop on Data Assimilation in Weather and Climate Models 2024

Explore advanced data assimilation techniques for weather and climate modeling through comprehensive theory, hands-on practice, and real-world applications in atmospheric sciences.

• YouTube
• 2 days 3 hours 14 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Winter School on the Interplay between High-Dimensional Geometry and Probability

Explore advanced mathematical concepts connecting high-dimensional geometry with probability theory through expert lectures on stochastic geometry, isoperimetry, and functional inequalities.

• YouTube
• 11 hours 27 minutes
• Self-Paced
• Free Video

Simons Institute

On the Robustness to Misspecification of α-Posteriors and Their Variational Approximations

Explore α-posteriors and variational approximations, examining their robustness to misspecification in machine learning contexts.

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

Simons Institute

Classical Algorithms for Quantum Mean Values

Explore classical algorithms for quantum mean values, covering VQE limitations, runtime analysis, and applications to MAX 3-CUT and QAOA problems in quantum optimization.

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

Hausdorff Center for Mathematics

Homogenization Methods for Weakly Compressible Elastic Materials Forward and...

Explore homogenization methods for weakly compressible elastic materials, focusing on modeling, effective elasticity tensors, and estimating tissue porosity using mechanical responses.

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

Hausdorff Center for Mathematics

The Weighted Energy Dissipation WED Principle for Gradient Flows

Explore advanced variational methods for gradient flows, focusing on the Weighted Energy Dissipation principle and its applications in metric spaces and optimal control problems.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Phase-Field Models for Motion by Mean Curvature - Lecture 4

Explore advanced mathematical concepts in phase-field models and their application to motion by mean curvature, presented by a renowned expert from the University of Chicago.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

A Supercritical Elliptic Equation in the Annulus

Explore advanced techniques for solving Sobolev-supercritical elliptic problems, focusing on symmetry and monotonicity properties to overcome compactness issues in mathematical analysis.

• YouTube
• 1 hour 50 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Some Applications of Variational Techniques in Stochastic Geometry III

Explores probabilistic bounds on Poisson space, measuring Gaussian distance for two-scale stabilization elements. Discusses quantitative CLTs for weakly stabilizing functionals and novel bounds for strongly stabilizing ones.

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

Hausdorff Center for Mathematics

Some Applications of Variational Techniques in Stochastic Geometry II

Explore second-order Poincaré inequalities on the Poisson space and their geometric applications, focusing on quantitative CLTs and fourth-moment theorems in stochastic geometry.

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

Hausdorff Center for Mathematics

Mean Field Limit by Gamma Convergence

Explores mean-field limit for λ-convex potentials using variational methods, focusing on gradient flows and Γ-convergence in interacting particle systems.

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

Hausdorff Center for Mathematics

Some Applications of Variational Techniques in Stochastic Geometry I

Explore stochastic analysis on Poisson space, focusing on variational inequalities for geometric quantities and their applications in noise sensitivity and superconcentration.

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

ICTP Mathematics

Variational Problems and Spectral Curves for the Hermitian Matrix Model with External Source

Explore variational problems and spectral curves in hermitian matrix models with external sources, focusing on finite N spectral curves and their applications in random matrix theory.

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