Institute for Mathematical Sciences Courses

Optimal Transport and High Dimensional Probability - Gradient Flows on Wasserstein Space

Explore gradient flows on Wasserstein spaces, connecting optimal transport theory with high-dimensional probability concepts for advanced mathematical insights.

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

How to Check When a System of Real Quadratic Equations Has a Solution - Part 2

Explore advanced techniques for determining solvability of real quadratic equation systems, building on previous concepts and delving into more complex mathematical analysis.

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

The Geometry of the Deep Linear Network

Explore the geometric principles underlying deep linear networks, uncovering their mathematical foundations and implications for machine learning algorithms.

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

The Geometry of the Deep Linear Network - Part 2

Explore the intricate geometry of deep linear networks, delving into advanced mathematical concepts and their applications in machine learning architectures.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Beating the Odds - Learning or Hallucinating? The Science of Data Today

Explore the intersection of data science, learning, and hallucination with insights from a renowned mathematician on current trends and challenges in the field.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Dynamical Spectral Transition for Optimization in Very High Dimensions

Explore dynamical spectral transitions in high-dimensional optimization, examining mathematical concepts and their applications in complex systems and data analysis.

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

On Deformations Over Non-Commutative Base

Explore deformations over non-commutative base with Professor Yujiro Kawamata, delving into advanced mathematical concepts and their applications in algebraic geometry.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Functional Data Analysis in Practice

Explore practical applications of functional data analysis with insights from Qiwei Yao of the London School of Economics, covering key concepts and methodologies.

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

Convergent Evolving Surface Finite Element Algorithms for Geometric Evolution Equations

Explore convergent evolving surface finite element algorithms for geometric evolution equations, presented by Prof. Christian Lubich from University of Tübingen.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Time Integration of Tree Tensor Networks

Explore numerical methods for time-dependent quantum dynamics using tree tensor networks, focusing on efficient algorithms and error analysis for high-dimensional problems.

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

Mathematical Analysis of Models for Living Tissues and Free Boundary Problems - Tutorial Part 3

Explore mathematical models for living tissues and free boundary problems with Professor Benoît Perthame. Gain insights into advanced analytical techniques for biological systems.

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

Mathematical Analysis of Models for Living Tissues and Free Boundary Problems - Tutorial Part 4

Explore mathematical models for living tissues and free boundary problems with Professor Benoît Perthame, delving into advanced analytical techniques and applications.

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

Mathematical Analysis of Models for Living Tissues and Free Boundary Problems - Tutorial Part 1

Explore mathematical models for living tissues and free boundary problems with Professor Perthame, delving into advanced analysis techniques and applications in biological systems.

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

Mathematical Analysis of Models for Living Tissues and Free Boundary Problems - Tutorial Part 2

Explore mathematical models for living tissues and free boundary problems with Professor Benoît Perthame. Gain insights into advanced analytical techniques for biological systems.

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

Hydrodynamic Alignment with Pressure - Tutorial IV, Part 2

Explore advanced concepts in hydrodynamic alignment with pressure, building on previous knowledge and delving into complex mathematical models and applications.

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