Fields Institute Courses

From Rough Paths to Streamed Data

Explore the mathematical connection between rough paths theory and streamed data analysis, bridging theoretical concepts with practical applications in machine learning and dynamical systems.

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

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
• Self-Paced
• Free Video

Deep Learning for Nonlinear Stability Analysis in Dynamical Systems

Explore deep learning techniques for analyzing nonlinear stability in dynamical systems, presented by Bogdan Epureanu from the University of Michigan.

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

Diffrax - Numerical Differential Equation Solvers in JAX

Explore numerical differential equation solvers in JAX with Diffrax, covering implementation, features, and applications in machine learning and dynamical systems.

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

Dissipative Deep Neural Dynamical Systems

Explore dissipative deep neural dynamical systems and their applications in machine learning, presented by Jan Drgona from Pacific Northwest National Laboratory.

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

Koopman Operator Theory Based Machine Learning of Dynamical Systems

Explore advanced machine learning techniques for dynamical systems using Koopman operator theory, presented by Igor Mezic from UC Santa Barbara.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Introduction to the Riemannian Curvature Dimension Condition - Lecture 3

Explore advanced concepts in Riemannian geometry with Prof. Gigli, focusing on the Curvature Dimension condition and its applications in non-smooth settings.

• YouTube
• 1 hour 42 minutes
• Self-Paced
• Free Video

Transport in Reservoir Computing

Explore the intersection of machine learning and dynamical systems, focusing on transport phenomena in reservoir computing and its applications in data analysis and prediction.

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

Machine Learning for Prediction of Terrestrial Climate and Weather

Explore cutting-edge applications of machine learning in predicting terrestrial climate and weather patterns, presented by a leading expert from the University of Maryland.

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

Thinking About Inflation - A Round Table Discussion

Explore diverse perspectives on inflation with leading economists in this engaging round table discussion, examining causes, impacts, and potential policy responses.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Hilbert Spaces With No Choice

Explore the intriguing concept of Hilbert spaces without the axiom of choice in this advanced mathematical seminar, delving into set theory and functional analysis.

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

Lattices in Semisimple Lie Groups: The Congruence Subgroup Problem and Boundedness Properties

Explore lattices in semisimple Lie groups, focusing on the congruence subgroup problem and boundedness properties in this advanced mathematics seminar by Alex Lubotzky.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Reduction of Singular Riemannian Foliations and How to Detect Boundary of the Leaf Space

Explore singular Riemannian foliations, their reduction, and techniques for detecting leaf space boundaries in this advanced geometry workshop presentation.

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

Introduction to the Riemannian Curvature Dimension Condition - Lecture 2

Explore advanced concepts in Riemannian geometry with Prof. Gigli, focusing on the Curvature Dimension condition and its applications in non-smooth settings.

• YouTube
• 1 hour 38 minutes
• Self-Paced
• Free Video

Introduction to the Riemannian Curvature Dimension Condition - Lecture 1

Explore the Riemannian Curvature Dimension condition with Professor Nicola Gigli, delving into advanced mathematical concepts for graduate-level understanding of non-smooth geometry.

• YouTube
• 1 hour 32 minutes
• Self-Paced
• Free Video