Rank, decomposition, and uniqueness for 3-way and n-way arrays
Multiway data analysis
Mixtures of probabilistic principal component analyzers
Neural Computation
Orthogonal Tensor Decompositions
SIAM Journal on Matrix Analysis and Applications
Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Learning bilinear models for two-factor problems in vision.
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Journal of Cognitive Neuroscience
ACM SIGGRAPH 2003 Sketches & Applications
TensorTextures: multilinear image-based rendering
ACM SIGGRAPH 2004 Papers
SCAPE: shape completion and animation of people
ACM SIGGRAPH 2005 Papers
Face transfer with multilinear models
ACM SIGGRAPH 2005 Papers
Out-of-core tensor approximation of multi-dimensional matrices of visual data
ACM SIGGRAPH 2005 Papers
Non-negative tensor factorization with applications to statistics and computer vision
ICML '05 Proceedings of the 22nd international conference on Machine learning
Higher-Order Web Link Analysis Using Multilinear Algebra
ICDM '05 Proceedings of the Fifth IEEE International Conference on Data Mining
Generalized Low Rank Approximations of Matrices
Machine Learning
IEEE Transactions on Pattern Analysis and Machine Intelligence
GI '06 Proceedings of Graphics Interface 2006
Beyond streams and graphs: dynamic tensor analysis
Proceedings of the 12th ACM SIGKDD international conference on Knowledge discovery and data mining
Images, Frames, and Connectionist Hierarchies
Neural Computation
Face transfer with multilinear models
ACM SIGGRAPH 2006 Courses
Multilinear models for face synthesis
SIGGRAPH '04 ACM SIGGRAPH 2004 Sketches
Algorithm 862: MATLAB tensor classes for fast algorithm prototyping
ACM Transactions on Mathematical Software (TOMS)
Handwritten digit classification using higher order singular value decomposition
Pattern Recognition
Nonlinear manifold learning for dynamic shape and dynamic appearance
Computer Vision and Image Understanding
Dynamic, expressive speech animation from a single mesh
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Multifactor Gaussian process models for style-content separation
Proceedings of the 24th international conference on Machine learning
Learning the Lie Groups of Visual Invariance
Neural Computation
Hierarchical Tensor Approximation of Multi-Dimensional Visual Data
IEEE Transactions on Visualization and Computer Graphics
A Tensor Approximation Approach to Dimensionality Reduction
International Journal of Computer Vision
Simultaneous eye tracking and blink detection with interactive particle filters
EURASIP Journal on Advances in Signal Processing
Expression-invariant face recognition by facial expression transformations
Pattern Recognition Letters
Two heads better than one: pattern discovery in time-evolving multi-aspect data
Data Mining and Knowledge Discovery
Proceedings of the 14th ACM SIGKDD international conference on Knowledge discovery and data mining
Heterogeneous data fusion for alzheimer's disease study
Proceedings of the 14th ACM SIGKDD international conference on Knowledge discovery and data mining
Algorithms for sparse nonnegative tucker decompositions
Neural Computation
Incremental tensor analysis: Theory and applications
ACM Transactions on Knowledge Discovery from Data (TKDD)
Novel Multi-layer Non-negative Tensor Factorization with Sparsity Constraints
ICANNGA '07 Proceedings of the 8th international conference on Adaptive and Natural Computing Algorithms, Part II
Appearance Models for Medical Volumes with Few Samples by Generalized 3D-PCA
Neural Information Processing
Head Pose Estimation Based on Tensor Factorization
Neural Information Processing
Clustering multi-way data via adaptive subspace iteration
Proceedings of the 17th ACM conference on Information and knowledge management
Active post-refined multimodality video semantic concept detection with tensor representation
MM '08 Proceedings of the 16th ACM international conference on Multimedia
Robust foreground segmentation based on two effective background models
MIR '08 Proceedings of the 1st ACM international conference on Multimedia information retrieval
A simplified GLRAM algorithm for face recognition
Neurocomputing
View-Invariant Pose Recognition Using Multilinear Analysis and the Universum
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
Multi-modality video shot clustering with tensor representation
Multimedia Tools and Applications
Efficient illumination independent appearance-based face tracking
Image and Vision Computing
n-Mode Singular Vector Selection in Higher-Order Singular Value Decomposition
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
A unified tensor framework for face recognition
Pattern Recognition
Recognizing body poses using multilinear analysis and semi-supervised learning
Pattern Recognition Letters
Robust Active Appearance Model Based Upon Multi-linear Analysis against Illumination Variation
UAHCI '09 Proceedings of the 5th International on ConferenceUniversal Access in Human-Computer Interaction. Part II: Intelligent and Ubiquitous Interaction Environments
Bayesian tensor inference for sketch-based facial photo hallucination
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Locating nose-tips and estimating head poses in images by tensorposes
IEEE Transactions on Circuits and Systems for Video Technology
Bilinear Models for Spatio-Temporal Point Distribution Analysis
International Journal of Computer Vision
IEEE Transactions on Neural Networks
Mode-kn factor analysis for image ensembles
IEEE Transactions on Image Processing
An eye localization, tracking and blink pattern recognition system: Algorithm and evaluation
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)
A Dynamical Shape Prior for LV Segmentation from RT3D Echocardiography
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
Weight, Sex, and Facial Expressions: On the Manipulation of Attributes in Generative 3D Face Models
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
A non-negative tensor factorization model for selectional preference induction
GEMS '09 Proceedings of the Workshop on Geometrical Models of Natural Language Semantics
Coupled Visual and Kinematic Manifold Models for Tracking
International Journal of Computer Vision
Tensor Framework and Combined Symmetry for Hypertext Mining
Fundamenta Informaticae
A fast approach for dimensionality reduction with image data
Pattern Recognition
Hallucinating face by position-patch
Pattern Recognition
Probabilistic learning for fully automatic face recognition across pose
Image and Vision Computing
Person-similarity weighted feature for expression recognition
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
Recovering facial intrinsic images from a single input
ICIC'09 Proceedings of the 5th international conference on Emerging intelligent computing technology and applications
Appearance-based action recognition in the tensor framework
CIRA'09 Proceedings of the 8th IEEE international conference on Computational intelligence in robotics and automation
Multi modal semantic indexing for image retrieval
Proceedings of the ACM International Conference on Image and Video Retrieval
A super-resolution based method to synthesize visual images from near infrared
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Face recognition using Intrinsicfaces
Pattern Recognition
Thorax biometrics from millimetre-wave images
Pattern Recognition Letters
A novel split and merge technique for hypertext classification
Transactions on rough sets XII
Bilinear kernel reduced rank regression for facial expression synthesis
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
A non-negative tensor factorization model for selectional preference induction
Natural Language Engineering
A new implementation of common matrix approach using third-order tensors for face recognition
Expert Systems with Applications: An International Journal
Bimode model for face recognition and face representation
Neurocomputing
Optimum subspace learning and error correction for tensors
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Incremental Tensor Subspace Learning and Its Applications to Foreground Segmentation and Tracking
International Journal of Computer Vision
Multifactor feature extraction for human movement recognition
Computer Vision and Image Understanding
Model-based and image-based methods for facial image synthesis, analysis and recognition
FGR' 04 Proceedings of the Sixth IEEE international conference on Automatic face and gesture recognition
A survey of multilinear subspace learning for tensor data
Pattern Recognition
Matrix-variate and higher-order probabilistic projections
Data Mining and Knowledge Discovery
A polynomial characterization of hypergraphs using the Ihara zeta function
Pattern Recognition
Discriminant orthogonal rank-one tensor projections for face recognition
ACIIDS'11 Proceedings of the Third international conference on Intelligent information and database systems - Volume Part II
A multifactor winner-take-all dynamics
Neural Computation
Are tensor decomposition solutions unique? on the Global convergence HOSVD and parafac algorithms
PAKDD'11 Proceedings of the 15th Pacific-Asia conference on Advances in knowledge discovery and data mining - Volume Part I
Visual system for drivers' eye recognition
HAIS'11 Proceedings of the 6th international conference on Hybrid artificial intelligent systems - Volume Part I
Object recognition with the HOSVD of the multi-model space-variant pattern tensors
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
Uni-orthogonal nonnegative tucker decomposition for supervised image classification
ICIAP'11 Proceedings of the 16th international conference on Image analysis and processing: Part I
Feature Fusion Using Multiple Component Analysis
Neural Processing Letters
Facial expression analysis using nonlinear decomposable generative models
AMFG'05 Proceedings of the Second international conference on Analysis and Modelling of Faces and Gestures
Towards scalable view-invariant gait recognition: multilinear analysis for gait
AVBPA'05 Proceedings of the 5th international conference on Audio- and Video-Based Biometric Person Authentication
Photometric normalisation for face verification
AVBPA'05 Proceedings of the 5th international conference on Audio- and Video-Based Biometric Person Authentication
Classifying faces with discriminant isometric feature mapping
MICAI'05 Proceedings of the 4th Mexican international conference on Advances in Artificial Intelligence
A fast method of lighting estimate using multi-linear algebra
SINOBIOMETRICS'04 Proceedings of the 5th Chinese conference on Advances in Biometric Person Authentication
Face relighting based on multi-spectral quotient image and illumination tensorfaces
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part III
Gender recognition via locality preserving tensor analysis on face images
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part III
Manifold estimation in view-based feature space for face synthesis across poses
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part I
K-clustered tensor approximation: A sparse multilinear model for real-time rendering
ACM Transactions on Graphics (TOG)
Task specific factors for video characterization
ICVGIP'06 Proceedings of the 5th Indian conference on Computer Vision, Graphics and Image Processing
Incremental multi-view face tracking based on general view manifold
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part II
A realistic dynamic facial expression transfer method
Neurocomputing
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
Higher-order SVD analysis for crowd density estimation
Computer Vision and Image Understanding
Tensor Framework and Combined Symmetry for Hypertext Mining
Fundamenta Informaticae
Fast similarity computation in factorized tensors
SISAP'12 Proceedings of the 5th international conference on Similarity Search and Applications
Robust tensor classifiers for color object recognition
ICIAR'07 Proceedings of the 4th international conference on Image Analysis and Recognition
Facial action transfer with personalized bilinear regression
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part II
CISIM'12 Proceedings of the 11th IFIP TC 8 international conference on Computer Information Systems and Industrial Management
Multi-linear data-driven dynamic hair model with efficient hair-body collision handling
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Multi-linear data-driven dynamic hair model with efficient hair-body collision handling
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Comparison of tensor unfolding variants for 2DPCA-based color facial portraits recognition
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
Face recognition using multilinear manifold analysis of local descriptors
SSPR'12/SPR'12 Proceedings of the 2012 Joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
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
A framework for online gait recognition based on multilinear tensor analysis
The Journal of Supercomputing
Face recognition using Weber local descriptors
Neurocomputing
A Bayesian factorised covariance model for image analysis
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Joint view-identity manifold for infrared target tracking and recognition
Computer Vision and Image Understanding
Tensor clustering via adaptive subspace iteration
Intelligent Data Analysis
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Natural images are the composite consequence of multiple factors related to scene structure, illumination, and imaging. Multilinear algebra, the algebra of higher-order tensors, offers a potent mathematical framework for analyzing the multifactor structure of image ensembles and for addressing the difficult problem of disentangling the constituent factors or modes. Our multilinear modeling technique employs a tensor extension of the conventional matrix singular value decomposition (SVD), known as the N-mode SVD. As a concrete example, we consider the multilinear analysis of ensembles of facial images that combine several modes, including different facial geometries (people), expressions, head poses, and lighting conditions. Our resulting "TensorFaces" representation has several advantages over conventional eigenfaces. More generally, multilinear analysis shows promise as a unifying framework for a variety of computer vision problems.