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#Spectral Methods

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Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 22

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Aprofunde-se em métodos numéricos avançados para equações diferenciais parciais, explorando técnicas e aplicações em nível de doutorado.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 21

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Explore advanced numerical methods for solving partial differential equations in this doctoral-level lecture, focusing on cutting-edge techniques and applications in mathematical modeling.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

The Kikuchi Hierarchy and Tensor PCA

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Explores advanced algorithms for tensor PCA, introducing a new hierarchy inspired by Kikuchi free energy to improve belief propagation performance and match sum-of-squares methods.
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13 Lesons
34 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Jacob Lurie: A Riemann-Hilbert Correspondence in P-adic Geometry

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Explore p-adic geometry and the Riemann-Hilbert correspondence, covering perfectoid spaces, crystals, and spectral methods in this advanced mathematics lecture.
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24 Lesons
57 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Graph Alignment: Informational and Computational Limits - Lecture 2

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Explore graph alignment challenges, focusing on informational and computational limits. Gain insights into probabilistic and optimization methods for data science applications.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 5

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Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
Georgia Tech Research

Spectral Methods Meets Asymmetry: Two Recent Stories - Lecture 4

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Explore spectral methods for asymmetric data matrices, covering top-K ranking and matrix de-noising. Learn advantages over traditional approaches in data analysis and estimation.
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1 Lesons
49 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Modern Numerical Methods in Computational Relativity - Lecture 5

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Explore advanced numerical techniques in computational relativity, focusing on simulating black hole mergers and other high-energy astrophysical phenomena for gravitational-wave astronomy.
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1 Lesons
2 hours
On-Demand
Free-Video
International Centre for Theoretical Sciences

Modern Numerical Methods in Computational Relativity - Lecture 2

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Explore advanced numerical techniques for solving Einstein's equations in computational relativity, focusing on applications in gravitational-wave astronomy and astrophysical simulations.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Modern Numerical Methods in Computational Relativity - Lecture 3

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Explore advanced numerical techniques for solving Einstein's equations in computational relativity, focusing on modeling gravitational waves from merging black holes and neutron stars.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Modern Numerical Methods in Computational Relativity - Lecture 4

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Explore advanced numerical techniques in computational relativity, focusing on solving Einstein's field equations for gravitational-wave astronomy and astrophysical phenomena modeling.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

A Spectral Framework for Constraining Anisotropic Eddy Viscosity - Lecture 2

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Explores a spectral framework for constraining anisotropic eddy viscosity in geophysical fluid dynamics, focusing on advanced modeling techniques and their applications in understanding complex oceanic and atmospheric processes.
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1 Lesons
54 minutes
On-Demand
Free-Video
ICTP-SAIFR

Numerical Solutions of Schrödinger's Equation Applied to Atomic Physics - Class 3

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Explore numerical solutions of Schrödinger's equation in atomic physics, focusing on advanced techniques and applications in the field.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
ICTP-SAIFR

Numerical Solutions of Schrödinger's Equation Applied to Atomic Physics - Class 1

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Explore numerical solutions of Schrödinger's equation in atomic physics, focusing on fundamental concepts and computational techniques.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Aleksa Gordić - The AI Epiphany

Graph Convolutional Networks - GNN Paper Explained

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Comprehensive exploration of Graph Convolutional Networks, covering theory, implementation, and applications. Delves into spectral methods, Weisfeiler-Lehman perspective, and GNN depth, offering insights for both beginners and experts.
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13 Lesons
50 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Understanding, Interpreting and Designing Neural Network Models Through Tensor Representations

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Explore tensor representations for neural networks, enhancing interpretability, expressive power, generalization, and robustness in deep learning models through spectral methods and innovative architecture design.
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27 Lesons
34 minutes
On-Demand
Free-Video
Simons Institute

Sublinear Time Algorithms for Max-Cut Approximation on Expander Graphs

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Explore random walks on graphs to achieve better-than-1/2 approximation for max-cut on expanding and clusterable graphs, using sublinear time algorithms.
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1 Lesons
32 minutes
On-Demand
Free-Video
Georgia Tech Research

Projected Power Method: An Efficient Algorithm for Joint Discrete Assignment - Lecture 3

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Explore an efficient algorithm for joint discrete assignment using projected power method. Learn about low-complexity procedures, optimization techniques, and statistical models for solving discrete assignment problems.
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1 Lesons
46 minutes
On-Demand
Free-Video
USC Probability and Statistics Seminar

Clustering a Mixture of Gaussians with Unknown Covariance - Lecture

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Explore clustering with Gaussian mixtures, focusing on maximum likelihood estimation, Max-Cut solutions, and efficient algorithms. Investigate statistical-computational gaps and challenges in high-dimensional settings.
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22 Lesons
46 minutes
On-Demand
Free-Video
Inside Livermore Lab

Bridging Numerical Methods and Deep Learning with Physics-Constrained Differentiable Solvers

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Explore machine learning strategies for neural PDE solvers, focusing on self-supervised learning and simulation-in-the-loop approaches to enhance spatiotemporal modeling across various systems.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video