Structuring data with block term decomposition: decomposition of joint tensors and variational block term decomposition as a parametrized mixture distribution model

DOI10.1134/S0965542521050146zbMath1468.62309OpenAlexW3195369676WikidataQ114075118 ScholiaQ114075118MaRDI QIDQ2038495

P. V. Kharyuk, Ivan V. Oseledets

Publication date: 7 July 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521050146

zbMATH Keywords

machine learningcomponent analysismixture distribution modelblock term decompositiongroup data analysis

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Learning and adaptive systems in artificial intelligence (68T05) Algebraic statistics (62R01)

Related Items (1)

New applications of matrix methods

Uses Software

• SciPy
• NumPy
• Matplotlib
• Scikit
• JIVE
• ElemStatLearn
• Tensorlab
• Python
• Seaborn
• PyTorch
• Jupyter
• Pyro
• PRMLT

Cites Work

• Unnamed Item
• Unnamed Item
• Tensor Decompositions and Applications
• Tensor-Train Decomposition
• Joint and individual variation explained (JIVE) for integrated analysis of multiple data types
• Low rank Tucker-type tensor approximation to classical potentials
• Optimization-Based Algorithms for Tensor Decompositions: Canonical Polyadic Decomposition, Decomposition in Rank-$(L_r,L_r,1)$ Terms, and a New Generalization
• Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 1 Low-Rank Tensor Decompositions
• QTT approximation of elliptic solution operators in higher dimensions
• Hierarchical ALS Algorithms for Nonnegative Matrix and 3D Tensor Factorization
• Probabilistic Principal Component Analysis
• Tensor Decomposition for Signal Processing and Machine Learning
• Numerical Methods for Computing Angles Between Linear Subspaces
• Decompositions of a Higher-Order Tensor in Block Terms—Part I: Lemmas for Partitioned Matrices
• Decompositions of a Higher-Order Tensor in Block Terms—Part II: Definitions and Uniqueness
• Decompositions of a Higher-Order Tensor in Block Terms—Part III: Alternating Least Squares Algorithms

This page was built for publication: Structuring data with block term decomposition: decomposition of joint tensors and variational block term decomposition as a parametrized mixture distribution model