Institute for Pure & Applied Mathematics (IPAM) Courses

Perception and Learning for Autonomous Driving - Part 1

Explore perception and learning for autonomous driving, covering sensor suites, deep neural networks, and object detection techniques in this comprehensive tutorial.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Arctic Curves for Ice Models

Explore arctic curves in statistical mechanics, focusing on the six-vertex model with ice point and domain-wall boundary data. Learn about the geometric tangent method for locating arctic boundaries.

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

Schubert Calculus and Quantum Integrability

Explore recent advancements in Schubert calculus and its connection to quantum integrable systems, focusing on combinatorial formulae for intersection numbers and their extensions.

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

Algebraic Entropy in Combinatorial Dynamical Systems

Explore algebraic entropy in combinatorial dynamical systems, focusing on T-systems and R-systems. Discover classification results and connections to Cartan matrices and dynamical algebraic combinatorics.

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

On the 5-Vertex Model

Exploration of the 5-vertex model, a generalization of lozenge tiling, discussing free energy, surface tension, and probabilities. Insights into asymptotic algebraic combinatorics and lattice path models.

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

Solving High Dimensional HJ Equations Using Generalized Hopf-Lax Formulas vs Using Machine Learning

Explore advanced techniques for solving high-dimensional Hamilton-Jacobi equations, comparing generalized Hopf-Lax formulas with machine learning approaches in control and differential games.

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

Claire Tomlin- "Towards Real-Time Reachability"

Explore real-time reachability in high-dimensional systems, focusing on Hamilton-Jacobi PDEs, hybrid systems, and applications in traffic patterns and autonomous vehicles.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Accurate Global Machine Learning Force Fields for Molecules with Hundreds of Atoms

Explore innovative approaches to developing accurate global machine learning force fields for large molecular systems, overcoming scaling limitations without compromising on non-local interactions.

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

Fully Quantum (Bio)Molecular Simulations: Dream or Reality?

Explore the convergence of quantum mechanics and machine learning in molecular simulations, addressing challenges and future developments for complex (bio)molecular systems.

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

Graph MLP-Mixer for Molecular Analysis - IPAM at UCLA

Explores Graph MLP-Mixer, a novel GNN architecture overcoming limitations in graph representation learning, offering improved long-range dependencies and efficiency for molecular analysis.

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

From A to B via a Synthesis of Rare-Event Sampling and Machine Learning

Explore machine learning and rare-event sampling techniques for analyzing molecular transitions and generating pathways between energy basins, with applications in materials science and biomolecules.

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

Data-Driven Design for Energy Materials - IPAM at UCLA

Explore data-driven materials design for energy applications using supercomputing and quantum mechanics. Learn about The Materials Project's vast database and its impact on advancing materials research and innovation.

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

Machine Learning for Scientific Discovery, with Examples in Fluid Mechanics

Explore machine learning for nonlinear dynamical systems modeling, focusing on the SINDy algorithm and its applications in fluid dynamics, with emphasis on interpretable and physics-respecting solutions.

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

Exploring XAI Techniques for Neuroimaging

Discover XAI techniques for neuroimaging with Pamela Douglas, exploring innovative approaches to gain novel insights and enhance understanding of brain imaging data analysis.

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

Explainable Structured Machine Learning in Similarity, Graph and Transformer Models

Explores techniques for explaining complex machine learning models, focusing on similarity, graph, and transformer structures. Discusses applications in knowledge evolution, gender bias, and task-solving.

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