Beyond streams and graphs: dynamic tensor analysis
Proceedings of the 12th ACM SIGKDD international conference on Knowledge discovery and data mining
Computational analysis of epileptic focus localization
BioMed'06 Proceedings of the 24th IASTED international conference on Biomedical engineering
Handwritten digit classification using higher order singular value decomposition
Pattern Recognition
Incremental pattern discovery on streams, graphs and tensors
Incremental pattern discovery on streams, graphs and tensors
Enhanced Line Search: A Novel Method to Accelerate PARAFAC
SIAM Journal on Matrix Analysis and Applications
A comparison of algorithms for fitting the PARAFAC model
Computational Statistics & Data Analysis
Tensor Decompositions and Applications
SIAM Review
Nonnegative Matrix and Tensor Factorizations: Applications to Exploratory Multi-way Data Analysis and Blind Source Separation
Blind PARAFAC receivers for DS-CDMA systems
IEEE Transactions on Signal Processing
PARAFAC-Based Blind Estimation Of Possibly Underdetermined Convolutive MIMO Systems
IEEE Transactions on Signal Processing
Proceedings of the 21st ACM international conference on Information and knowledge management
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Parallel factor analysis (PARAFAC) is a tensor (multiway array) factorization method which allows to find hidden factors (component matrices) from a multidimensional data. Most of the existing algorithms for the PARAFAC, especially the alternating least squares (ALS) algorithm need to compute Khatri-Rao products of tall factors and multiplication of large matrices, and due to this require high computational cost and large memory and are not suitable for very large-scale-problems. Hence, PARAFAC for large-scale data tensors is still a challenging problem. In this paper, we propose a new approach based on a modified ALS algorithm which computes Hadamard products, instead Khatri-Rao products, and employs relatively small matrices. The new algorithms are able to process extremely large-scale tensors with billions of entries. Extensive experiments confirm the validity and high performance of the developed algorithm in comparison with other well-known algorithms.