Application of the Karhunen-Loeve Procedure for the Characterization of Human Faces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Latent semantic indexing: a probabilistic analysis
PODS '98 Proceedings of the seventeenth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
On the Best Rank-1 and Rank-(R1,R2,. . .,RN) Approximation of Higher-Order Tensors
SIAM Journal on Matrix Analysis and Applications
From Few to Many: Illumination Cone Models for Face Recognition under Variable Lighting and Pose
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multilinear Analysis of Image Ensembles: TensorFaces
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Learning Collaborative Information Filters
ICML '98 Proceedings of the Fifteenth International Conference on Machine Learning
Two-Dimensional PCA: A New Approach to Appearance-Based Face Representation and Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
GPCA: an efficient dimension reduction scheme for image compression and retrieval
Proceedings of the tenth ACM SIGKDD international conference on Knowledge discovery and data mining
Generalized low rank approximations of matrices
ICML '04 Proceedings of the twenty-first international conference on Machine learning
K-means clustering via principal component analysis
ICML '04 Proceedings of the twenty-first international conference on Machine learning
Equivalence of Non-Iterative Algorithms for Simultaneous Low Rank Approximations of Matrices
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Journal of Cognitive Neuroscience
An event driven framework for assistive CPS environments
ACM SIGBED Review - Special Issue on the 2nd Joint Workshop on High Confidence Medical Devices, Software, and Systems (HCMDSS) and Medical Device Plug-and-Play (MD PnP) Interoperability
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
XML documents clustering using a tensor space model
PAKDD'11 Proceedings of the 15th Pacific-Asia conference on Advances in knowledge discovery and data mining - Volume Part I
Hybrid clustering of multiple information sources via HOSVD
ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part II
Robust tensor clustering with non-greedy maximization
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Tensor clustering via adaptive subspace iteration
Intelligent Data Analysis
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Singular Value Decomposition (SVD)/Principal Component Analysis (PCA) have played a vital role in finding patterns from many datasets. Recently tensor factorization has been used for data mining and pattern recognition in high index/order data. High Order SVD (HOSVD) is a commonly used tensor factorization method and has recently been used in numerous applications like graphs, videos, social networks, etc. In this paper we prove that HOSVD does simultaneous subspace selection (data compression) and K-means clustering widely used for unsupervised learning tasks. We show how to utilize this new feature of HOSVD for clustering. We demonstrate these new results using three real and large datasets, two on face images datasets and one on hand-written digits dataset. Using this new HOSVD clustering feature we provide a dataset quality assessment on many frequently used experimental datasets with expected noise levels.