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Bayesian Tensor Models for Multiway Structural Data: A Theoretical Study and Applications

Research Project

Project/Area Number 15K15955
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Statistical science
Research InstitutionInstitute of Physical and Chemical Research

Principal Investigator

Zhao Qibin  国立研究開発法人理化学研究所, 脳科学総合研究センター, 研究員 (30599618)

Project Period (FY) 2015-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2016: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2015: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
KeywordsTensor Factorization / Missing Data / Tensor Completion / Robust Factorization / Bayesian Inference / Tensor Denoising / Machine Learning / Image Completion / Image Denoising
Outline of Final Research Achievements

In this project, we study the probabilistic model of tensor factorizations and their applications to EEG signals and computer vision. 1) We proposed a Bayesian robust CP tensor factorization with missing data, which can infer automatically the underlying CP rank and capture outliers effectively from partially observed data without tuning parameters. 2) We proposed a tensor completion method with smoothness constraints over latent factors, which is particularly useful for visual data. 3) We proposed an efficient algorithm for non-negative Tucker decomposition by employing low-rank approximations of the gradient. 4) We proposed a nonlinear tensor partial least squares algorithm for multi-block tensor regression. 5) We applied our proposed methods to EEG artifact removal, image/video denoisiong, and MRI denoising.

Report

(3 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • Research Products

    (10 results)

All 2016 2015 Other

All Journal Article (6 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 6 results,  Open Access: 4 results,  Acknowledgement Compliant: 6 results) Presentation (3 results) (of which Int'l Joint Research: 3 results) Remarks (1 results)

  • [Journal Article] Linked Component Analysis from Matrices to High Order Tensors: Applications to Biomedical Data2016

    • Author(s)
      G Zhou, Q Zhao, Y Zhang, T Adali;, S Xie, A Cichocki
    • Journal Title

      Proceedings of the IEEE

      Volume: 104 Issue: 2 Pages: 310-331

    • DOI

      10.1109/jproc.2015.2474704

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Sparse Bayesian Classification of EEG for Brain-Computer Interface2016

    • Author(s)
      Y Zhang, G Zhou, J Jin, Q Zhao, X Wang, A Cichocki
    • Journal Title

      IEEE Transactions on Neural Networks and Learning Systems

      Volume: 印刷中 Issue: 11 Pages: 2256-2267

    • DOI

      10.1109/tnnls.2015.2476656

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Smooth PARAFAC Decomposition for Tensor Completion2016

    • Author(s)
      Tatsuya Yokota, Qibin Zhao, Andrzej Cichocki
    • Journal Title

      IEEE Transactions on Signal Processing

      Volume: 64 Issue: 20 Pages: 5423-5436

    • DOI

      10.1109/tsp.2016.2586759

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Bayesian Robust Tensor Factorization for Incomplete Multiway Data2016

    • Author(s)
      Qibin Zhao, Guoxu Zhou, Liqing Zhang, and Andrzej Cichocki
    • Journal Title

      IEEE Transactions on Neural Networks and Learning Systems

      Volume: 27 Issue: 4 Pages: 736

    • DOI

      10.1109/tnnls.2015.2423694

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Uncorrelated Multiway Discriminant Analysis for Motor Imagery EEG Classification2015

    • Author(s)
      Ye Liu, Qibin Zhao, Liqing Zhang
    • Journal Title

      International Journal of Neural Systems

      Volume: 25 Issue: 04 Pages: 1550013-1550013

    • DOI

      10.1142/s0129065715500136

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Efficient Nonnegative Tucker Decompositions: Algorithms and Uniqueness2015

    • Author(s)
      Guoxu Zhou, Andrzej Cichocki, Qibin Zhao and Shengli Xie
    • Journal Title

      IEEE Transactions on Image Processing

      Volume: 24 Issue: 12 Pages: 4990-5003

    • DOI

      10.1109/tip.2015.2478396

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] Tensor Denoising Using Bayesian CP Factorization2016

    • Author(s)
      Lihua Gui, Qibin Zhao, and Jianting Cao
    • Organizer
      The Sixth International Conference on Information Science and Technology (ICIST 2016)
    • Place of Presentation
      Dalian, China
    • Year and Date
      2016-05-06
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] EEG COMPLETION VIA BAYESIAN TENSOR FACTORIZATION FOR BRAIN-COMPUTER INTERFACE2016

    • Author(s)
      Yu Zhang, Qibin Zhao, Guoxu Zhou, Jing Jin, Xinyu Wang, Andrzej Cichocki
    • Organizer
      IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
    • Place of Presentation
      Shanghai, China
    • Year and Date
      2016-03-20
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Common and Discriminative Subspace Kernel-based Multiblock Tensor Partial Least Squares Regression2016

    • Author(s)
      Ming Hou, Qibin Zhao, Brahim Chaib-draa and Andrzej Cichocki
    • Organizer
      Proceedings of the 30th AAAI Conference on Articial Intelligence
    • Place of Presentation
      Phoenix, Arizona USA
    • Year and Date
      2016-02-12
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Remarks] Tensor Decomposition Softwares

    • URL

      http://www.bsp.brain.riken.jp/~qibin/homepage/Software.html

    • Related Report
      2015 Research-status Report

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Published: 2015-04-16   Modified: 2018-03-22  

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