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Tensor Decomposition via Simultaneous Power Iteration
Academia Sinica, Taiwan.ORCID iD: 0000-0002-4617-8862
Academia Sinica, Taiwan.
2017 (English)In: Proceedings of the 34th International Conference on Machine Learning, International Conference on Machine Learning, 2017, Vol. 70, p. 3665-3673Conference paper, Published paper (Refereed)
Abstract [en]

Tensor decomposition is an important problem with many applications across several disciplines, and a popular approach for this problem is the tensor power method. However, previous works with theoretical guarantee based on this approach can only find the top eigenvectors one after one, unlike the case for matrices. In this paper, we show how to find the eigenvectors simultaneously with the help of a new initialization procedure. This allows us to achieve a better running time in the batch setting, as well as a lower sample complexity in the streaming setting.

Place, publisher, year, edition, pages
International Conference on Machine Learning, 2017. Vol. 70, p. 3665-3673
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-352889OAI: oai:DiVA.org:kth-352889DiVA, id: diva2:1896119
Conference
International Conference on Machine Learning, ICML, 6-11 August 2017, International Convention Centre, Sydney, Australia
Note

QC 20240909

Available from: 2024-09-09 Created: 2024-09-09 Last updated: 2024-09-11Bibliographically approved

Open Access in DiVA

fulltext(317 kB)40 downloads
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File name FULLTEXT01.pdfFile size 317 kBChecksum SHA-512
e90ec151a330e48e5967a1b60049d6b06400a021dcf64edac70a112fe3857b5471df8a13cb8241aa47abf5a1fb07768e2da35d23f308a88d6a739c9789bf6795
Type fulltextMimetype application/pdf

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Wang, Po-An

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf