Tensor Decomposition Courses and Certifications

Fields Institute

Beyond Lazy Training for Over-parameterized Tensor Decomposition

Explore over-parameterization in tensor decomposition, comparing lazy training and gradient descent approaches. Discover how gradient descent can leverage low-rank data structure beyond lazy training regimes.

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

Institute for Pure & Applied Mathematics (IPAM)

Mesoscale Reconstruction of Images and Networks Using Tensor Decomposition

Explore mesoscale reconstruction of images and networks using tensor decomposition, focusing on a unified framework, error bounds, and online CP-dictionary learning for multi-modal datasets.

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

Institute for Pure & Applied Mathematics (IPAM)

Beyond Lazy Training for Over-parameterized Tensor Decomposition

Explore tensor decomposition in over-parameterized settings, analyzing gradient descent variants and their performance beyond lazy training regimes for improved optimization in neural networks.

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

Institute for Pure & Applied Mathematics (IPAM)

Smoothed Analysis for Tensor Decompositions and Unsupervised Learning

Explore smoothed analysis for tensor decompositions and unsupervised learning, focusing on polynomial time guarantees and robust decompositions of symmetric overcomplete tensors.

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

Institute for Pure & Applied Mathematics (IPAM)

Tensor Decompositions and Their Applications

Explore advanced tensor decomposition techniques and their applications in latent variable models, phylogenetics, mixture models, and orbit retrieval with MIT's Ankur Moitra.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Tensor Decompositions and Their Applications

Explore tensor decompositions and their applications in latent variable models, focusing on Jennrich's algorithm and its use in various fields like phylogenetics and mixture models.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Simons Institute

Query Optimization and Evaluation 3 - Variable Elimination and Tensor Decomposition

Explore variable elimination and tensor decomposition techniques for optimizing and evaluating complex queries in database systems and AI applications.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Simons Institute

Randomized Least Squares Optimization and its Incredible Utility for Large-Scale Tensor Decomposition

Explore randomized least squares optimization techniques for large-scale tensor decomposition, focusing on sublinear algorithms and their applications in data analysis.

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

Institute for Pure & Applied Mathematics (IPAM)

Small Ball Probabilities for Random Tensors and Analysis of Tensor Decompositions

Explore sharp anticancellation inequalities for simple random tensors and their applications in tensor reconstruction algorithms, presented by Grigoris Paouris at IPAM's Tensor Networks Workshop.

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

Centre de recherches mathématiques - CRM

Polynomial-Time Power-Sum Decomposition of Polynomials - Efficient Algorithms and Applications

Explore efficient algorithms for power-sum decomposition of polynomials, improving on prior work for tensor decomposition and Gaussian mixture identifiability. Gain insights into numerical linear algebra and noise-resilient techniques.

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

Centre de recherches mathématiques - CRM

Tensor Decomposition Algorithms via Algebraic Complexity

Explorez les algorithmes de décomposition tensorielle et leur lien avec les circuits arithmétiques, en examinant les cas moyens et les pires scénarios pour les tenseurs de faible rang.

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

Isaac Newton Institute for Mathematical Sciences

Bridging the Divide: From Matrix to Tensor Algebra for Optimal Approximation and Compression

Explore tensor algebra and its advantages over matrix-based approaches for data compression and analysis. Learn about novel tensor-tensor products and their applications in various fields.

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

Society for Industrial and Applied Mathematics

Tensor Decompositions - A Quick Tour of Illustrative Applications

Explore tensor decompositions for data analysis and dimensionality reduction. Learn fundamentals, applications in various fields, and hands-on examples using real-world datasets.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Tensor Decomposition Methods in Neural Networks for Frugality

Explore tensor decomposition methods for neural network compression and growth, focusing on efficient training approaches and frugal network architectures.

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

IIT Kharagpur;  NPTEL

Applied Linear Algebra in AI and ML

Explore essential linear algebra concepts and techniques for AI and ML applications, including least squares, eigenvalue decomposition, SVD, and tensor analysis, with practical examples and problem-solving.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course