NDLI: Distributed computation of tensor decompositions in collaborative networks

Content Provider	IEEE Xplore Digital Library
Author	de Almeida, A.L.F. Kibangou, A.Y.
Copyright Year	2013
Description	Author affiliation: Dept. of Teleinformatics Eng., Fed. Univ. of Ceara, Fortaleza, Brazil (de Almeida, A.L.F.) \|\| GIPSA-Lab., Univ. Joseph Fourier, St. Martin d'Hères, France (Kibangou, A.Y.)
Abstract	In this paper, we consider the issue of distributed computation of tensor decompositions. A central unit observing a global data tensor assigns different data sub-tensors to several computing nodes grouped into clusters. The goal is to distribute the computation of a tensor decomposition across the different computing nodes of the network, which is particularly useful when dealing with large-scale data tensors. However, this is only possible when the data sub-tensors assigned to each computing node in a cluster satisfies minimum conditions for uniqueness. By allowing collaboration between computing nodes in a cluster, we show that average consensus based estimation is useful to yield unique estimates of the factor matrices of each data sub-tensor. Moreover, an essentially unique reconstruction of the global factor matrices at the central unit is possible by allowing the sub-tensors assigned to different clusters to overlap in one mode. The proposed approach may be useful to a number of distributed tensor-based estimation problems in signal processing.
Sponsorship	IEEE Signal Process. Soc.
Starting Page	232
Ending Page	235
File Size	484385
Page Count	4
File Format	PDF
e-ISBN	9781467331463
DOI	10.1109/CAMSAP.2013.6714050
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-12-15
Publisher Place	France
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Tensile stress Conferences Estimation Collaboration Signal processing algorithms Clustering algorithms Matrix decomposition
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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