Institute for Pure & Applied Mathematics (IPAM) Courses

Eigenvalue Problems and Error Control - IPAM at UCLA

Explore eigenvalue problems and error control in quantum mechanics, focusing on advanced mathematical and statistical techniques for solving complex computational challenges.

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

Introduction to Classical and Quantum Monte Carlo Methods for Many-Body Systems

Explore classical and quantum Monte Carlo methods for many-body systems, including Metropolis algorithms, Feynman's path integral formalism, and projector Monte Carlo techniques for fermion systems.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Mathematical Models of Electronic Structure - IPAM at UCLA

Explore mathematical models of electronic structure, focusing on quantum mechanics applications in materials science and chemistry, presented by Duke University expert Jianfeng Lu.

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

Paradox of Diversity in the Collective Brain - IPAM at UCLA

Explore the paradox of diversity in collective intelligence, examining how cultural trait diversity impacts innovation, coordination, and societal challenges in human societies.

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

A Xither of Xenobots - Demolishing Dichotomous Thinking With Synthetic Proto-Organisms

Explore synthetic proto-organisms and challenge dichotomous thinking in this presentation on xenobots, offering insights into collective intelligence and biological engineering.

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

Learning to Explore with Scalable Supervision - IPAM at UCLA

Discover efficient reinforcement learning techniques for robotic control, balancing self-supervision and human guidance to overcome exploration challenges in high-dimensional spaces.

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

Some Mathematical Theorems on Agreement and Learning in Networks - IPAM at UCLA

Explore mathematical theorems on agreement and learning in networks, presented by MIT's Elchanan Mossel at IPAM's Mathematics of Collective Intelligence Workshop.

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

Cognitive and Computational Foundations for Collective Human Intelligence

Explore cognitive and computational foundations of collective human intelligence with MIT's Josh Tenenbaum in this insightful presentation from IPAM's workshop.

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

Physical Intelligence in Insect and Robot Societies - IPAM at UCLA

Exploring collective problem-solving in insect societies and robotic systems, linking physics and behavior across scales to understand embodied physical intelligence in nature and technology.

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

Variational Proofs of Isoperimetric Inequalities

Explore variational proofs of isoperimetric inequalities, their generalizations, and open problems in this advanced mathematics lecture by Steven Heilman at IPAM's workshop.

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

Gibbs Sampling for Convex Bodies and an L_0 Isoperimetric Inequality

Explore Gibbs sampling for high-dimensional distributions, focusing on convergence guarantees and conductance bounds for sampling from convex bodies. Gain insights into this widely-used algorithm's efficiency and limitations.

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

Eigenvalue Estimates for P-Laplace Problems & Domains in Fermi Coordinates

Explore explicit and sharp eigenvalue estimates for Neumann p-Laplace eigenvalues in domains represented in Fermi coordinates, presented by Barbara Brandolini at IPAM's Calculus of Variations workshop.

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

Toward Practical Phase Retrieval with Deep Learning - IPAM at UCLA

Exploring phase retrieval challenges, conventional methods, and deep learning approaches for scientific imaging. Presents novel solutions for practical phase retrieval problems in unprecedented regimes.

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

Coherent X-Ray Diffractive Imaging of In Operando Energy Storage Materials

Explore advanced imaging techniques for lithium-ion batteries, revealing nanoscale processes and strain distribution in electrode particles during charge/discharge cycles to improve energy storage technology.

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

Machine Learning for 3D Optical Imaging - IPAM at UCLA

Explore machine learning techniques for enhancing 3D optical diffraction tomography, including digital phantom-based training and physics-constrained neural networks for improved image reconstruction.

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