2021
DOI: 10.1109/tkde.2020.2967045
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Column-Wise Element Selection for Computationally Efficient Nonnegative Coupled Matrix Tensor Factorization

Abstract: Coupled Matrix Tensor Factorization (CMTF) facilitates the integration and analysis of multiple data sources and helps discover meaningful information. Nonnegative CMTF (N-CMTF) has been employed in many applications for identifying latent patterns, prediction, and recommendation. However, due to the added complexity with coupling between tensor and matrix data, existing N-CMTF algorithms exhibit poor computation efficiency. In this paper, a computationally efficient N-CMTF factorization algorithm is presented… Show more

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Cited by 9 publications
(5 citation statements)
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“…In another related study, a tensor is recursively decomposed from a higher rank into a lower one until reaching the vectorized version in such a way that the forward and hierarchical multiplication of the basic terms leads to the original tensor [26]. Some of the studies concentrated on introducing and analyzing coupled tensor-matrix [27,28] and its nonnegative versions [29,30] in data fusion research. Acar among others used this concept for analyzing different types of data, e.g., multiomics data [31] and EEG multiomics [32].…”
Section: A Novel Tensor-matrix-tensor Formulationmentioning
confidence: 99%
“…In another related study, a tensor is recursively decomposed from a higher rank into a lower one until reaching the vectorized version in such a way that the forward and hierarchical multiplication of the basic terms leads to the original tensor [26]. Some of the studies concentrated on introducing and analyzing coupled tensor-matrix [27,28] and its nonnegative versions [29,30] in data fusion research. Acar among others used this concept for analyzing different types of data, e.g., multiomics data [31] and EEG multiomics [32].…”
Section: A Novel Tensor-matrix-tensor Formulationmentioning
confidence: 99%
“…34. However, we can also leverage a variety of different optimization schemes including cyclic/block coordinate descent [Kim et al 2014;Rossi and Zhou 2016], stochastic gradient descent [Oh et al 2015;Yun et al 2014], among others [Balasubramaniam et al 2020;Bouchard et al 2013;Choi et al 2019;Schenker et al 2021;Singh and Gordon 2008].…”
Section: Pvisrec (Acm Only)mentioning
confidence: 99%
“…The CTF is the common scheme which has been widely exploited for joint analysis of heterogeneous data (Acar et al 2011b). In particular, CTF has proved useful in applications where the goal is estimation of missing data such as recommendation systems (Acar et al 2015;Frolov and Oseledets 2017;Balasubramaniam et al 2020). Suppose we have the incomplete third-order tensor X ∈ ℝ I×J×K coupled with matrix Y ∈ ℝ I×M , in the first mode as in Fig.…”
Section: Preliminariesmentioning
confidence: 99%