Approximation Theory Courses and Certifications

Alan Turing Institute

Approximating High Dimensional Functions - Mathematical Foundations Workshop

Explore mathematical foundations for approximating complex high-dimensional functions, covering tensor methods, ridge functions, and modern approaches to overcome dimensionality challenges.

• YouTube
• 7 hours 19 minutes
• On-Demand
• Free Video

Isaac Newton Institute for Mathematical Sciences

Optimality of Algorithms for Approximation and Computation - Rothschild Lecture

Explore optimality in approximation and computation algorithms with Prof. Ronald DeVore's in-depth analysis of mathematical techniques and their applications in data science.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

BIMSA

Recent Advances in Algorithms for Rational Minimax Approximations

Discover cutting-edge algorithms for rational minimax approximations and their computational advances in numerical analysis and optimization theory.

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

Hausdorff Center for Mathematics

Multi-Topological Fields, Approximations and NTP2

Explore unified properties of pseudo-algebraically closed fields through model-theoretic classification and approximation results in topological field theory.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Approximation Theory - Lecture 3

Explore how deep neural networks approximate functions through universal approximation theorems, Barron's theorem, and the role of depth in expressivity.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Fields Institute

Commutative Algebra in Approximation Theory

Explore the intersection of commutative algebra and approximation theory with Nelly Villamizar, examining mathematical principles and applications in this specialized field.

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

ICTP-SAIFR

Finite Elements Approximation Theory - Class 39

Delve into finite element approximation theory with advanced mathematical techniques for solving partial differential equations numerically.

• YouTube
• 2 hours 18 minutes
• On-Demand
• Free Video

Conference GSI

Forward and Inverse Approximation Theory for Linear Temporal Convolutional Networks

Explore approximation theory for linear temporal convolutional networks, examining forward and inverse approaches to enhance understanding of network behavior and capabilities.

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

International Centre for Theoretical Sciences

Graph Discretization of Riemannian Manifolds with Ricci Bounds - Approximation Theory

Explore graph discretization techniques for Riemannian manifolds with Ricci curvature bounds and their approximation properties in geometric analysis.

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

Deep Learning

Master neural networks, CNNs, RNNs, transformers, and generative models with theory and applications in computer vision, NLP, and robotics from MIT.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

Banach Center

Complexity of Approximating Holder Classes from Information with Varying Gaussian Noise

Explore approximation complexity for Holder classes with varying Gaussian noise, focusing on mathematical applications and information theory concepts.

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

Centre International de Rencontres Mathématiques

Artin Approximation and Singularity Theory

Explore advanced mathematical concepts in Artin approximation, singularity theory, and algebraic geometry through expert lectures on formal power series and algebraic equations.

• YouTube
• 8 hours 20 minutes
• On-Demand
• Free Video

Fields Institute

Approximation Theory of Deep Learning from the Dynamical Viewpoint

Explore deep learning approximation theory from a dynamical perspective, covering supervised learning, universal approximation, sequence modeling, and insights on various neural network architectures.

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

Google TechTalks

Streaming Attention Approximation via Discrepancy Theory

Discover BalanceKV, an algorithm using geometric properties to compress key-value cache in LLMs, reducing memory requirements while maintaining attention quality through discrepancy theory.

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

Insights into Mathematics

More Bases of Polynomial Spaces - Lecture 21

Explore advanced polynomial bases: Lagrange, Chebyshev, Bernstein, and Spread. Learn their properties, applications in approximation, and relationships, enhancing understanding of polynomial spaces in linear algebra.

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