Applications of tensor (multiway array) factorizations and decompositions in data mining
Explore this paper's citation graph
Summary
The aim of this overview is to introduce the basic concepts of tensor decompositions and demonstrate some of the many benefits and challenges of modeling data multiway for a wide variety of data and problem domains.
- Type
- article
- Published
- 2011-01-01
- Cited by
- 266
- References
- 58
- OpenAlex
- https://openalex.org/W1982725637
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:37676101
Keywords
Computer science, Tensor (intrinsic definition), Data mining, Theoretical computer science, Mathematics
References
- Cross-validation of component models: A critical look at current methods
- ERPWAVELAB a toolbox for multi-channel analysis of time-frequency transformed event related potentials.
- Applied Multiway Data Analysis
- Handbook of Blind Source Separation: Independent Component Analysis and Applications
- Scalable Tensor Factorizations for Incomplete Data
- Some mathematical notes on three-mode factor analysis
- Strategies for analyzing data from video fluorometric monitoring of liquid chromatographic effluents
- Decomposing EEG data into space-time-frequency components using Parallel Factor Analysis
- Parallel Factor Analysis as an exploratory tool for wavelet transformed event-related EEG
- Three-way component analysis: principles and illustrative application.
- Biologically Inspired Tensor Features
- A new efficient method for determining the number of components in PARAFAC models
- Structure-seeking multilinear methods for the analysis of fMRI data
- Decompositions of a Higher-Order Tensor in Block Terms - Part II: Definitions and Uniqueness
- Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition
- A Multilinear Singular Value Decomposition
- Tensor Decompositions and Applications
- Dimensionality reduction in higher-order signal processing and rank-(R1,R2,…,RN) reduction in multilinear algebra
- Tensor decompositions, alternating least squares and other tales
- Fast Local Algorithms for Large Scale Nonnegative Matrix and Tensor Factorizations
Cited by
- Shared processing of perception and imagery of music in decomposed EEG
- Sparse multiway decomposition for analysis and modeling of diffusion imaging and tractography
- Multi-aspect-streaming tensor analysis
- Interpolating Convex and Non-Convex Tensor Decompositions via the Subspace Norm
- Performance index for tensor polyadic decompositions
- Generalized Higher-Order Tensor Decomposition via Parallel ADMM
- Tensor Networks for Big Data Analytics and Large-Scale Optimization Problems
- Estimation of low-rank tensors via convex optimization
- Heterogeneous Tensor Decomposition for Clustering via Manifold Optimization
- Multiscale entropy analysis of resting-state magnetoencephalogram with tensor factorisations in Alzheimer's disease.
- Tensor (multidimensional array) decomposition, regression and software for statistics and machine learning
- Multidimensional compressed sensing and their applications
- Revealing latent factors of temporal networks for mesoscale intervention in epidemic spread
- Era of Big Data Processing: A New Approach via Tensor Networks and Tensor Decompositions
- Marble: high-throughput phenotyping from electronic health records via sparse nonnegative tensor factorization
- Handling missing data in medical questionnaires using tensor decompositions
- A visualization method of third-order tensor for knowledge extraction from questionnaire data
- Detecting the Community Structure and Activity Patterns of Temporal Networks: A Non-Negative Tensor Factorization Approach
- TALISON - Tensor analysis of social media data
- Multiway Analysis of bridge structural types in the National Bridge Inventory (NBI): A tensor decomposition approach
Related papers
- ИСПОЛЬЗОВAНИЕ ПОТЕНЦИAЛA СОЦИAЛЬНЫХ ПAРТНЕРОВ В ПОДГОТОВКЕ БУДУЩИХ ПЕДAГОГОВ
- DETERMINING QUALITY REQUIREMENTS AT THE UNIVERSITIES TO IMPROVE THE QUALITY OF EDUCATION
- Using DataGrid Control to Realize DataBase of Querying in VB6.0
- ESKVS: efficient and secure approach for keyframes-based video summarization framework
- Study and Two Types of Typical Usage of DataGrid Web Server Control
- STKVS: secure technique for keyframes-based video summarization model
- PACWON: A parallelizing compiler for workstations on a network
- SLA Aware Optimized Task Scheduling Model for Faster Execution of Workloads Among Federated Clouds