Incremental tensor analysis: Theory and applications
ACM Transactions on Knowledge Discovery from Data (TKDD)
Scenario Discovery Using Nonnegative Tensor Factorization
CIARP '08 Proceedings of the 13th Iberoamerican congress on Pattern Recognition: Progress in Pattern Recognition, Image Analysis and Applications
View Discovery in OLAP Databases through Statistical Combinatorial Optimization
SSDBM 2009 Proceedings of the 21st International Conference on Scientific and Statistical Database Management
Spectral Clustering in Social-Tagging Systems
WISE '09 Proceedings of the 10th International Conference on Web Information Systems Engineering
TripleRank: Ranking Semantic Web Data by Tensor Decomposition
ISWC '09 Proceedings of the 8th International Semantic Web Conference
Sequential unfolding SVD for tensors with applications in array signal processing
IEEE Transactions on Signal Processing
Synthesis and editing of personalized stylistic human motion
Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games
MusicBox: personalized music recommendation based on cubic analysis of social tags
IEEE Transactions on Audio, Speech, and Language Processing
IEEE Transactions on Audio, Speech, and Language Processing
Approximation algorithms for tensor clustering
ALT'09 Proceedings of the 20th international conference on Algorithmic learning theory
Relative Margin Support Tensor Machines for gait and action recognition
Proceedings of the ACM International Conference on Image and Video Retrieval
Journal of Computational and Applied Mathematics
An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor
Journal of Computational and Applied Mathematics
Recovering tensor data from incomplete measurement via compressive sampling
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
Spatiotemporal imaging with partially separable functions: a matrix recovery approach
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
From frequency to meaning: vector space models of semantics
Journal of Artificial Intelligence Research
Exploring dialect phonetic variation using PARAFAC
SIGMORPHON '10 Proceedings of the 11th Meeting of the ACL Special Interest Group on Computational Morphology and Phonology
FacetCube: a framework of incorporating prior knowledge into non-negative tensor factorization
CIKM '10 Proceedings of the 19th ACM international conference on Information and knowledge management
Collaborative filtering in social tagging systems based on joint item-tag recommendations
CIKM '10 Proceedings of the 19th ACM international conference on Information and knowledge management
Medical decision making using vector space model
Proceedings of the 1st ACM International Health Informatics Symposium
Classification with sums of separable functions
ECML PKDD'10 Proceedings of the 2010 European conference on Machine learning and knowledge discovery in databases: Part I
Kernel-based learning from infinite dimensional 2-way tensors
ICANN'10 Proceedings of the 20th international conference on Artificial neural networks: Part II
Non-negative tensor factorization applied to music genre classification
IEEE Transactions on Audio, Speech, and Language Processing
Tensor algebra and multidimensional harmonic retrieval in signal processing for MIMO radar
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Factorizing three-way binary data with triadic formal concepts
KES'10 Proceedings of the 14th international conference on Knowledge-based and intelligent information and engineering systems: Part I
A non-negative tensor factorization model for selectional preference induction
Natural Language Engineering
Temporal Link Prediction Using Matrix and Tensor Factorizations
ACM Transactions on Knowledge Discovery from Data (TKDD)
5D motion subspaces for planar motions
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Probabilistic latent tensor factorization
LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
Low-order tensor decompositions for social tagging recommendation
Proceedings of the fourth ACM international conference on Web search and data mining
Fast high-dimensional approximation with sparse occupancy trees
Journal of Computational and Applied Mathematics
Distributional memory: A general framework for corpus-based semantics
Computational Linguistics
A survey of multilinear subspace learning for tensor data
Pattern Recognition
Krylov Subspace Methods for Linear Systems with Tensor Product Structure
SIAM Journal on Matrix Analysis and Applications
Hierarchical Singular Value Decomposition of Tensors
SIAM Journal on Matrix Analysis and Applications
Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition
SIAM Journal on Matrix Analysis and Applications
An information-theoretic, vector-space-model approach to cross-language information retrieval*
Natural Language Engineering
Computing the polyadic decomposition of nonnegative third order tensors
Signal Processing
PARAFAC algorithms for large-scale problems
Neurocomputing
Latent subject-centered modeling of collaborative tagging: An application in social search
ACM Transactions on Management Information Systems (TMIS)
Common component analysis for multiple covariance matrices
Proceedings of the 17th ACM SIGKDD international conference on Knowledge discovery and data mining
Composing and updating verb argument expectations: a distributional semantic model
CMCL '11 Proceedings of the 2nd Workshop on Cognitive Modeling and Computational Linguistics
Detection of crossing white matter fibers with high-order tensors and rank-k decompositions
IPMI'11 Proceedings of the 22nd international conference on Information processing in medical imaging
CIBB'10 Proceedings of the 7th international conference on Computational intelligence methods for bioinformatics and biostatistics
Tensor factorization using auxiliary information
ECML PKDD'11 Proceedings of the 2011 European conference on Machine learning and knowledge discovery in databases - Volume Part II
SCENT: Scalable compressed monitoring of evolving multirelational social networks
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP) - Special section on ACM multimedia 2010 best paper candidates, and issue on social media
Uni-orthogonal nonnegative tucker decomposition for supervised image classification
ICIAP'11 Proceedings of the 16th international conference on Image analysis and processing: Part I
On multivariate polynomials in Bernstein-Bézier form and tensor algebra
Journal of Computational and Applied Mathematics
High dimensional model representation (HDMR) based folded vector decomposition
AICT'11 Proceedings of the 2nd international conference on Applied informatics and computing theory
AICT'11 Proceedings of the 2nd international conference on Applied informatics and computing theory
Array flattening based univariate high dimensional model representation (AFBUHDMR)
AICT'11 Proceedings of the 2nd international conference on Applied informatics and computing theory
Visualizing the evolution of social networks
EPIA'11 Proceedings of the 15th Portugese conference on Progress in artificial intelligence
Fast metadata-driven multiresolution tensor decomposition
Proceedings of the 20th ACM international conference on Information and knowledge management
Approximate tensor decomposition within a tensor-relational algebraic framework
Proceedings of the 20th ACM international conference on Information and knowledge management
Spectral analysis of a blogosphere
Proceedings of the 20th ACM international conference on Information and knowledge management
A new framework for co-clustering of gene expression data
PRIB'11 Proceedings of the 6th IAPR international conference on Pattern recognition in bioinformatics
SIAM Journal on Matrix Analysis and Applications
Quasi-Newton Methods on Grassmannians and Multilinear Approximations of Tensors
SIAM Journal on Scientific Computing
Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs
SIAM Journal on Scientific Computing
Numerical Solution of the Hartree-Fock Equation in Multilevel Tensor-Structured Format
SIAM Journal on Scientific Computing
SIAM Journal on Matrix Analysis and Applications
Algebraic Wavelet Transform via Quantics Tensor Train Decomposition
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Multi-way space-time-wave-vector analysis for EEG source separation
Signal Processing
On the computational benefit of tensor separation for high-dimensional discrete convolutions
Multidimensional Systems and Signal Processing
On context-aware co-clustering with metadata support
Journal of Intelligent Information Systems
Hybrid clustering of multiple information sources via HOSVD
ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part II
Algorithms for probabilistic latent tensor factorization
Signal Processing
K-clustered tensor approximation: A sparse multilinear model for real-time rendering
ACM Transactions on Graphics (TOG)
Factorizing three-way ordinal data using triadic formal concepts
FQAS'11 Proceedings of the 9th international conference on Flexible Query Answering Systems
Journal of Computational Physics
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Link prediction on evolving data using tensor factorization
PAKDD'11 Proceedings of the 15th international conference on New Frontiers in Applied Data Mining
Block component analysis, a new concept for blind source separation
LVA/ICA'12 Proceedings of the 10th international conference on Latent Variable Analysis and Signal Separation
Factorizing YAGO: scalable machine learning for linked data
Proceedings of the 21st international conference on World Wide Web
A people-to-people recommendation system using tensor space models
Proceedings of the 27th Annual ACM Symposium on Applied Computing
Ensemble of tensor classifiers based on the higher-order singular value decomposition
HAIS'12 Proceedings of the 7th international conference on Hybrid Artificial Intelligent Systems - Volume Part II
Unsupervised upright orientation of man-made models
Graphical Models
Data Driven Surface Reflectance from Sparse and Irregular Samples
Computer Graphics Forum
Tag-aware recommender systems: a state-of-the-art survey
Journal of Computer Science and Technology - Special issue on Community Analysis and Information Recommendation
GigaTensor: scaling tensor analysis up by 100 times - algorithms and discoveries
Proceedings of the 18th ACM SIGKDD international conference on Knowledge discovery and data mining
A New Truncation Strategy for the Higher-Order Singular Value Decomposition
SIAM Journal on Scientific Computing
The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format
SIAM Journal on Scientific Computing
Maximum Block Improvement and Polynomial Optimization
SIAM Journal on Optimization
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Matrix Analysis and Applications
Wedderburn Rank Reduction and Krylov Subspace Method for Tensor Approximation. Part 1: Tucker Case
SIAM Journal on Scientific Computing
Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Matrix Analysis and Applications
Tensor rank and strong quantum nondeterminism in multiparty communication
TAMC'12 Proceedings of the 9th Annual international conference on Theory and Applications of Models of Computation
Feature selection from high-order tensorial data via sparse decomposition
Pattern Recognition Letters
Higher rank Support Tensor Machines for visual recognition
Pattern Recognition
TFMAP: optimizing MAP for top-n context-aware recommendation
SIGIR '12 Proceedings of the 35th international ACM SIGIR conference on Research and development in information retrieval
Learning to rank social update streams
SIGIR '12 Proceedings of the 35th international ACM SIGIR conference on Research and development in information retrieval
Fast similarity computation in factorized tensors
SISAP'12 Proceedings of the 5th international conference on Similarity Search and Applications
Domain and function: a dual-space model of semantic relations and compositions
Journal of Artificial Intelligence Research
The multilinear normal distribution: Introduction and some basic properties
Journal of Multivariate Analysis
Utilizing common substructures to speedup tensor factorization for mining dynamic graphs
Proceedings of the 21st ACM international conference on Information and knowledge management
Journal of Computational and Applied Mathematics
Twitter hyperlink recommendation with user-tweet-hyperlink three-way clustering
Proceedings of the 21st ACM international conference on Information and knowledge management
A unified view on deformable shape factorizations
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part VI
Hypergraph spectra for semi-supervised feature selection
ECML PKDD'12 Proceedings of the 2012 European conference on Machine Learning and Knowledge Discovery in Databases - Volume Part I
ParCube: sparse parallelizable tensor decompositions
ECML PKDD'12 Proceedings of the 2012 European conference on Machine Learning and Knowledge Discovery in Databases - Volume Part I
Hybrid bilinear and trilinear models for exploratory analysis of three-way poisson counts
ICANN'12 Proceedings of the 22nd international conference on Artificial Neural Networks and Machine Learning - Volume Part II
CISIM'12 Proceedings of the 11th IFIP TC 8 international conference on Computer Information Systems and Industrial Management
MultiAspectForensics: mining large heterogeneous networks using tensor
International Journal of Web Engineering and Technology
Topological features in 2D symmetric higher-order tensor fields
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
On solving biquadratic optimization via semidefinite relaxation
Computational Optimization and Applications
Expanders, tropical semi-rings, and nuclear norms: oh my!
XRDS: Crossroads, The ACM Magazine for Students - Scientific Computing
Collaborative filtering by analyzing dynamic user interests modeled by taxonomy
ISWC'12 Proceedings of the 11th international conference on The Semantic Web - Volume Part I
Hypergraph spectra for unsupervised feature selection
SSPR'12/SPR'12 Proceedings of the 2012 Joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
A unified adaptive co-identification framework for high-d expression data
PRIB'12 Proceedings of the 7th IAPR international conference on Pattern Recognition in Bioinformatics
Building Tag-Aware Groups for Music High-Order Ranking and Topic Discovery
International Journal of Multimedia Data Engineering & Management
Logistic tensor regression for classification
IScIDE'12 Proceedings of the third Sino-foreign-interchange conference on Intelligent Science and Intelligent Data Engineering
Tensor-SIFT Based Earth Mover's Distance for Contour Tracking
Journal of Mathematical Imaging and Vision
A Tensor Factorization Approach to Generalization in Multi-agent Reinforcement Learning
WI-IAT '12 Proceedings of the The 2012 IEEE/WIC/ACM International Joint Conferences on Web Intelligence and Intelligent Agent Technology - Volume 02
Exploring generative models of tripartite graphs for recommendation in social media
Proceedings of the 4th International Workshop on Modeling Social Media
High order pLSA for indexing tagged images
Signal Processing
Tracking and analyzing TV content on the web through social and ontological knowledge
Proceedings of the 11th european conference on Interactive TV and video
Multi-Relational learning for recommendation of matches between semantic structures
KES'12 Proceedings of the 16th international conference on Knowledge Engineering, Machine Learning and Lattice Computing with Applications
ACCV'12 Proceedings of the 11th international conference on Computer Vision - Volume 2
Network discovery via constrained tensor analysis of fMRI data
Proceedings of the 19th ACM SIGKDD international conference on Knowledge discovery and data mining
Personalized recommendation via cross-domain triadic factorization
Proceedings of the 22nd international conference on World Wide Web
Centrality and mode detection in dynamic contact graphs; a joint diagonalisation approach
Proceedings of the 2013 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining
Global analytic solution of fully-observed variational Bayesian matrix factorization
The Journal of Machine Learning Research
Focus 3D: Compressive accommodation display
ACM Transactions on Graphics (TOG)
Multilinear Factorizations for Multi-Camera Rigid Structure from Motion Problems
International Journal of Computer Vision
Human gesture recognition on product manifolds
The Journal of Machine Learning Research
Classification approach based on non-negative least squares
Neurocomputing
Mixing and matching usage data: techniques for mining varied activity data sources
Proceedings of the 41st annual ACM SIGUCCS conference on User services
Discovering facts with boolean tensor tucker decomposition
Proceedings of the 22nd ACM international conference on Conference on information & knowledge management
Proceedings of the 16th ACM international conference on Modeling, analysis & simulation of wireless and mobile systems
Efficient penetration depth approximation using active learning
ACM Transactions on Graphics (TOG)
Social Link Prediction in Online Social Tagging Systems
ACM Transactions on Information Systems (TOIS)
Optimal calculation of tensor learning approaches
ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I
A tensor factorization based least squares support tensor machine for classification
ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I
Robust tensor clustering with non-greedy maximization
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Dimensionality reduction with generalized linear models
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Learning canonical correlations of paired tensor sets via tensor-to-vector projection
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Multi-dimensional causal discovery
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Guarantees of augmented trace norm models in tensor recovery
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
An equi-directional generalization of adaptive cross approximation for higher-order tensors
Applied Numerical Mathematics
Note(s): A note on the fourth cumulant of a finite mixture distribution
Journal of Multivariate Analysis
Integration of multi-feature fusion and dictionary learning for face recognition
Image and Vision Computing
Temporal QoS-aware web service recommendation via non-negative tensor factorization
Proceedings of the 23rd international conference on World wide web
Journal of Computational Physics
Journal of Global Optimization
Analysis of quantum linear systems' response to multi-photon states
Automatica (Journal of IFAC)
Journal of Computational Physics
A tensor-based distributed discovery of missing association rules on the cloud
Future Generation Computer Systems
Computational Statistics & Data Analysis
TAMRESH - tensor approximation multiresolution hierarchy for interactive volume visualization
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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This survey provides an overview of higher-order tensor decompositions, their applications, and available software. A tensor is a multidimensional or $N$-way array. Decompositions of higher-order tensors (i.e., $N$-way arrays with $N \geq 3$) have applications in psycho-metrics, chemometrics, signal processing, numerical linear algebra, computer vision, numerical analysis, data mining, neuroscience, graph analysis, and elsewhere. Two particular tensor decompositions can be considered to be higher-order extensions of the matrix singular value decomposition: CANDECOMP/PARAFAC (CP) decomposes a tensor as a sum of rank-one tensors, and the Tucker decomposition is a higher-order form of principal component analysis. There are many other tensor decompositions, including INDSCAL, PARAFAC2, CANDELINC, DEDICOM, and PARATUCK2 as well as nonnegative variants of all of the above. The N-way Toolbox, Tensor Toolbox, and Multilinear Engine are examples of software packages for working with tensors.