Institute for Mathematical Sciences Courses

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

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

Hydrodynamic Alignment with Pressure - Tutorial III, Part 1

Explore hydrodynamic alignment with pressure in this advanced mathematical tutorial by Prof. Eitan Tadmor, delving into complex fluid dynamics concepts.

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

Hydrodynamics of Multi-Species Systems - Tutorial II

Explore multi-species hydrodynamics with Professor Eitan Tadmor, delving into advanced mathematical concepts and their applications in fluid dynamics.

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

Emergence of Multiflocks in Collective Dynamics - Tutorial I

Explore the emergence of multiflocks in collective dynamics with Professor Eitan Tadmor, delving into mathematical insights on group behavior and movement patterns.

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