Title
Non-negative Multiple Tensor Factorization
Abstract
Non-negative Tensor Factorization (NTF) is a widely used technique for decomposing a non-negative value tensor into sparse and reasonably interpretable factors. However, NTF performs poorly when the tensor is extremely sparse, which is often the case with real-world data and higher-order tensors. In this paper, we propose Non-negative Multiple Tensor Factorization (NMTF), which factorizes the target tensor and auxiliary tensors simultaneously. Auxiliary data tensors compensate for the sparseness of the target data tensor. The factors of the auxiliary tensors also allow us to examine the target data from several different aspects. We experimentally confirm that NMTF performs better than NTF in terms of reconstructing the given data. Furthermore, we demonstrate that the proposed NMTF can successfully extract spatio-temporal patterns of people's daily life such as leisure, drinking, and shopping activity by analyzing several tensors extracted from online review data sets.
Year
DOI
Venue
2013
10.1109/ICDM.2013.83
Data Mining
Keywords
Field
DocType
data analysis,matrix decomposition,tensors,auxiliary data tensors,data analysis,higher-order tensors,nonnegative multiple tensor factorization,target data tensor sparseness,Machine Learning,Non-negative Tensor Factorization,Spatio-Temporal Pattern
Tensor product network,Data set,Tensor,Computer science,Matrix decomposition,Stress (mechanics),Artificial intelligence,Probabilistic logic,Tensor factorization,Machine learning,Sparse matrix
Conference
ISSN
Citations 
PageRank 
1550-4786
18
0.72
References 
Authors
16
4
Name
Order
Citations
PageRank
Koh Takeuchi15911.29
Ryota Tomioka2136791.68
Ishiguro, K.3251.20
Kimura, A.4211.55