Multilinear tensor rank estimation via Sparse Tucker Decomposition

Tatsuya Yokota, Andrzej Cichocki

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

15 Citations (Scopus)

Abstract

When we apply techniques of Tucker based tensor decomposition to approximate a given tensor data as a low-rank model, appropriate multi-linear tensor rank is often unknown. In such cases, we have to tune this multi-linear tensor rank from a number of combinations. In this paper, we propose a new algorithm for sparse Tucker decomposition which estimates appropriate multilinear tensor rank of the given data. In this method, we imposed orthogonal constraint into the basis matrices and sparse constraint into the core tensor, and try to prune wasted components by maximizing the sparsity of the core tensor under the condition of error bound. Thus, we call this method as the 'Pruning Sparse Tucker Decomposition' (PSTD). The PSTD is very useful for estimating the appropriate multilinear tensor rank of the Tucker based sparse representation such as compression. We demonstrate several experiments of the proposed method to show its advantages.

Original languageEnglish
Title of host publication2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages478-483
Number of pages6
ISBN (Electronic)9781479959556
DOIs
Publication statusPublished - 18 Feb 2014
Externally publishedYes
Event2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014 - Kitakyushu, Japan
Duration: 3 Dec 20146 Dec 2014

Publication series

Name2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014

Conference

Conference2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014
Country/TerritoryJapan
CityKitakyushu
Period3/12/146/12/14

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