Decompositions and Secant Varieties
Explore decompositions and secant varieties in algebraic geometry, focusing on their applications and theoretical foundations.
Lower and Upper Bounds on the VC-Dimension of Tensor Network Models
Explorez les limites de la dimension VC des modèles de réseaux de tenseurs. Apprenez les bornes supérieures et inférieures pour divers modèles de décomposition tensorielle et leurs implications pour l'apprentissage automatique.
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.
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.
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.
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.
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.
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.
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.
Infinite-Dimensional Geometry with Symmetry - SIAM SAGA Seminar
Explore infinite-dimensional geometry with symmetry, focusing on algebraic models and their applications in statistics, tensor decomposition, and combinatorics.
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.
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.
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.
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.
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.
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.
TUSCA: A Method for Tucker3 Modeling with ASCA+ - Webinar
Explore TUSCA, a novel method combining Tucker3 and ASCA+ for analyzing multi-way datasets from designed experiments, enhancing interpretation and visualization of complex data structures.
AlphaTensor by DeepMind Explained
Explore DeepMind's AlphaTensor, a revolutionary AI system that discovers efficient matrix multiplication algorithms, outperforming human-designed methods and advancing computational efficiency across various fields.
Neural Nets for NLP 2018 - Learning from-for Knowledge Graphs
Explore neural network techniques for knowledge graph construction, relation extraction, and embedding refinement in natural language processing.
Tensors in Statistics and Data Analysis
Explore tensors in statistics and data analysis, covering probability tensors, biological measurements, and signature tensors for time-series data. Learn about decompositions and algebraic properties in this comprehensive overview.
The Geometry of Tensors - Carolina Araujo
Explore tensor decomposition, its applications, and geometric interpretation. Learn about recent developments in determining tensor ranks and their significance in various fields.