Institute for Pure & Applied Mathematics (IPAM) Courses

Adversarial Sensing - Learning-Based Approach to Imaging and Sensing with Unknown Models

Explore adversarial sensing for solving inverse problems with stochastic forward models, focusing on applications in atmospheric turbulence imaging and long-range sub-diffraction limited imaging.

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

On the Use of Machine Learning for Computational Imaging

Exploring machine learning applications in computational imaging, focusing on inverse problems, regularization, and challenges in phase retrieval, 3D structure reconstruction, and surface analysis.

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

Computational Microscopy: Coherent Diffractive Imaging to Electron Tomography

Explore computational microscopy techniques from coherent diffractive imaging to atomic electron tomography with UCLA expert Jianwei Miao in this insightful presentation on cutting-edge imaging methods.

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

Strategies for Quantitative Imaging and Reconstruction from High Speed-Low Dose Data

Explore quantitative imaging techniques using AI/ML for analyzing large datasets of electron microscopy images, focusing on defect mapping in graphene and industrial catalyst studies.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Capturing the 3D Atomic Structure of Non-Crystalline Materials - IPAM at UCLA

Explore advanced techniques for capturing 3D atomic structures of non-crystalline materials, presented by UCLA's John Miao at IPAM's Computational Microscopy Tutorials.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Algorithms for Non-Local Filtering - Application Cryo-Electron and Biological Microscopy

Efficient algorithms for non-local filtering in microscopy, focusing on fast implementations of Non-Local Means Denoising and feature detection in biological images for improved image processing and analysis.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Variational Methods for Computational Microscopy - IPAM at UCLA

Explore variational methods for computational microscopy with Stanley Osher, covering advanced techniques and applications in image processing and analysis.

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

Machine Learning and Computational Imaging - IPAM at UCLA

Explore AI's role in computational imaging, focusing on deep learning for inverse problems in image recovery and restoration, from denoising to nano-scale imaging.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Using Algebraic Factorizations for Interpretable Learning - IPAM at UCLA

Explore Non-negative Matrix Factorization for interpretable learning in imaging, medicine, forecasting, and collaborative filtering. Learn implementation, online, and streaming variations.

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

Emergent Hypernetworks in Weakly Coupled Oscillators - IPAM at UCLA

Explores emergence of hypernetworks in weakly coupled oscillators, demonstrating through experiments and simulations how triplet interactions can arise from pairwise nonlinear coupling under specific frequency resonance conditions.

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

Probing the Costly Dynamics of Cognitive Effort

Explore cognitive effort through network theory, linking brain activity states, energy requirements, and entropy production. Gain insights into the biophysical nature of mental exertion and its implications for human behavior.

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

Reconstructed Rhythm-Generation by Neural Circuits in Two Sea Slugs

Explore biologically plausible models of swim center pattern generators in sea slugs, examining network-level bursting, stability mechanisms, and resilience to perturbations using dynamical systems and machine learning.

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

Synchronisation of Oscillators with Group Interactions - IPAM at UCLA

Explore synchronization in complex systems with group interactions, examining their impact on dynamics and transitions using advanced mathematical tools like the multiorder Laplacian.

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

Identify Interactions in Complex Networked Dynamical Systems through Causation Entropy

Explore optimal causation entropy for inferring coupling structures in complex systems, with applications to functional brain networks and comparisons to correlation-based methods.

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

Using Maths and Physics to Treat Parkinson’s With a Vibrating Glove

Innovative vibrotactile therapy for Parkinson's disease using mathematical models to design stimulation patterns, showing promising results in reducing symptoms and abnormal brain activity through non-invasive fingertip vibrations.

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