Approximation Theory Courses and Certifications

Hausdorff Center for Mathematics

On the Completeness of Interpolation Algorithms

Explore mathematical interpolation algorithms, their completeness, and applications in computational mathematics with insights from recent research publications.

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

Centre de recherches mathématiques - CRM

Weyl Asymptotics for Poincare-Steklov Eigenvalues in Domains with Lipschitz Boundaries

Explorez les asymptotiques de Weyl pour les valeurs propres de Poincaré-Steklov dans un domaine à frontière lipschitzienne, avec une approche basée sur l'approximation par des problèmes réguliers.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Fields Institute

Exponential Expression Rates for Neural Operator Approximation to Solution Operators of FBSDEs

Explore exponential expression rates in neural operator approximations for FBSDE solution operators, advancing mathematical finance understanding.

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

Imperial College London

Making Decisions with Known Unknowns - Professor Eric Kerrigan's Inaugural Lecture

Explore decision-making under uncertainty, covering aerodynamics, electrical engineering, and energy systems. Learn optimization techniques for real-world problem-solving.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Fields Institute

Learning, Approximation and Control in Dynamical Systems

Explore connections between machine learning, approximation theory, and control systems in this symposium talk by Qianxiao Li from the National University of Singapore.

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

Stony Brook Mathematics

Polynomially Convex Embeddings of Real Manifolds in C^n

Explore geometric embeddings of real manifolds in complex spaces, focusing on polynomial convexity and its connections to approximation theory and diverse mathematical areas.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Michael Penn

Every Right Triangle is Almost Pythagorean

Explore the concept of "almost Pythagorean" right triangles, uncovering a fascinating mathematical property that extends beyond the classic theorem.

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

Hausdorff Center for Mathematics

Sparsifying Suprema of Gaussian Processes

Explore approximation techniques for Gaussian processes and their applications in computational learning and property testing.

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

Simons Semester on Dynamics

Approximation of Vertex Transitive Graphs by Nilpotent Groups and Applications to Probability

Delve into advanced mathematical concepts exploring vertex-transitive graphs, their approximation through nilpotent groups, and probabilistic applications in topological dynamics.

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

Institut des Hautes Etudes Scientifiques (IHES)

Waists Measured via Urysohn Width in Riemannian Manifolds

Explore Urysohn width's role in measuring approximate dimension of Riemannian manifolds and its connection to positive scalar curvature, with insights on slicing manifolds.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Approximation of Dirac Operators with Delta-Shell Potentials

Explore approximation of 2D Dirac operators with δ-shell potentials using squeezed potentials. Analyze convergence in norm resolvent sense for specific interaction strengths.

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

Isaac Newton Institute for Mathematical Sciences

Bridging the Divide: From Matrix to Tensor Algebra for Optimal Approximation and Compression

Explore tensor algebra and its advantages over matrix-based approaches for data compression and analysis. Learn about novel tensor-tensor products and their applications in various fields.

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

Isaac Newton Institute for Mathematical Sciences

The Mathematical Universe Behind Deep Neural Networks - Rothschild Lecture

Explore the mathematical foundations of deep neural networks, covering functional analysis, harmonic analysis, complex analysis, approximation theory, and more with Professor Helmut Bölcskei.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Isaac Newton Institute for Mathematical Sciences

Image Compression with Differential Equations

Explore innovative image compression techniques using partial differential equations, combining mathematical modeling, optimization, and numerical methods for efficient data encoding and reconstruction.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Institute for Mathematical Sciences

Approximately Hadamard Matrices and Random Frames

Explore approximately Hadamard matrices and random frames with Mark Rudelson, delving into advanced mathematical concepts and their applications in signal processing and data analysis.

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