Institute for Pure & Applied Mathematics (IPAM) Courses

Introduction to Equivariant Machine Learning - IPAM at UCLA

Explore fundamentals of equivariant machine learning, understanding symmetries in physical descriptions and implementation techniques for respecting these principles in ML models.

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

Model Based Deep Learning with Application to Super Resolution - IPAM at UCLA

Explore model-based deep learning for super-resolution microscopy, merging parametric models with optimization tools to create efficient, interpretable networks from limited training data.

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

Neural Network-Assisted Atomic Electron Tomography - IPAM at UCLA

Neural network-assisted atomic electron tomography for 3D atomic structure measurement of nanoparticles, enabling precise surface characterization and functional property analysis at single-atom level.

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

Application of Machine Learning to Electron Microscopy Data - IPAM at UCLA

Explore machine learning applications in electron microscopy, focusing on data modeling and neural networks for distortion compensation in experimental datasets.

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

Reconstructing 2D and 3D Atomic Structure From Various Types of TEM Data

Explore advanced techniques for reconstructing atomic structures using transmission electron microscopy data, comparing phase imaging methods and discussing recent experimental results in 2D and 3D materials analysis.

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

Multi-Dimensional Scanning Transmission Electron Microscopy to Solve 3D Nanostructures

Explore advanced electron microscopy techniques for 3D nanostructure analysis, including multi-dimensional imaging channels and computational methods to enhance resolution and information recovery.

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

AI Inroads in Imaging Sciences for Materials Research - IPAM at UCLA

Explore deep learning applications in materials research, focusing on convolutional neural networks for transmission electron microscopy and tomographic imaging advancements.

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

Building the Microscopes of Tomorrow - IPAM at UCLA

Explore cutting-edge microscopy techniques for visualizing nanoscale processes in real-time, enabling advancements in nanotechnology, antimicrobials, and vaccine development.

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

Acceleration of Quantum Mechanical Systems by Exploiting Similarity - IPAM at UCLA

Explore innovative approaches to accelerate quantum mechanical simulations by leveraging solution similarities, focusing on extended Lagrangian Born-Oppenheimer dynamics and reduced basis methods for quantum-spin systems.

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

Electronic Structure Calculations of Chiral Matter - IPAM at UCLA

Explore electronic structure calculations for chiral materials, focusing on quasi-1D nanostructures. Learn about helical Bloch waves, Kohn-Sham DFT, and machine learning techniques for predicting electronic fields.

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

Multi-Center Decomposition of Molecular Densities: A Mathematical Perspective

Explore mathematical perspectives on molecular density partitioning, focusing on Iterative Stockholder Atom methods. Learn about new schemes, convergence results, and applications in quantum mechanics.

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

Numerical Methods for Scattering and Resonance Properties in Molecules and Solids

Explore numerical methods for discretizing continuum states in electronic structure, addressing scattering, photo-ionization, and resonances. Learn efficient computational techniques with applications in condensed matter physics and chemistry.

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

Basis-Set Correction Based on Density-Functional Theory - IPAM at UCLA

Rigorous framework for basis-set correction in quantum mechanics using density-functional theory, explored through a one-dimensional model with delta-potential interactions for systematic analysis.

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

Model Reduction Using Localized Bases and DMRG - IPAM at UCLA

Explore model reduction techniques in quantum mechanics using localized bases and DMRG, focusing on sliced basis sets for hydrogen chains and gausslet bases for fully diagonal Hamiltonians.

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

Beyond Density Functional Approximations by Lessons From Density Functional Theory

Exploring alternatives to density functional approximations in quantum mechanics, focusing on extrapolating model families and generalizing Kato's cusp condition for improved accuracy in electronic systems.

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