• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Manifold signal processing theory concerning metric structure and its application to biological signal processing

Research Project

Project/Area Number 26280054
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypePartial Multi-year Fund
Section一般
Research Field Perceptual information processing
Research InstitutionTokyo Institute of Technology

Principal Investigator

Yukihiko Yamashita  東京工業大学, 環境・社会理工学院, 准教授 (90220350)

Co-Investigator(Kenkyū-buntansha) 杉山 将  東京大学, 新領域創成科学研究科, 教授 (90334515)
田中 聡久  東京農工大学, 工学(系)研究科(研究院), 准教授 (70360584)
鷲沢 嘉一  電気通信大学, 情報理工学(系)研究科, 助教 (10419880)
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥16,380,000 (Direct Cost: ¥12,600,000、Indirect Cost: ¥3,780,000)
Fiscal Year 2016: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2015: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥8,580,000 (Direct Cost: ¥6,600,000、Indirect Cost: ¥1,980,000)
Keywords多様体信号処理 / 局所独立方程式 / 局所等方独立方程式 / 計量学習 / 生体信号処理 / ブレイン・コンピュータ・インターフェース / ブレイン・コンピュータ・インターフェイス / 不完全交差学習 / コミティマシン
Outline of Final Research Achievements

For the manifold signal processing theory concerning the metric structure, we constructed a method to solving locally isotropically independence equations by using Gauss normalized kernel functions, and defined an operator equation to express the locally isotropically independent change. We developed a semi-supervised learning method for metrics when the number of training data is not enough. We proposed a method to assign a pattern to a subspace, and a metric suitable to discrimination for the Grassmann manifold. We also developed an anomaly detection method with images by combining the direct estimation for the ration between probability density functions and the convolutional network, and a distance for hand-written character recognition that provides the best recognition rate among those based on k-nearest neighbor method. Furthermore, we improved the performance of recognition of motional intention that enables paretics caused by apoplexy, etc. to reconstruct motor function.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • Research Products

    (24 results)

All 2017 2016 2015 2014

All Journal Article (23 results) (of which Peer Reviewed: 23 results,  Open Access: 3 results,  Acknowledgement Compliant: 5 results) Book (1 results)

  • [Journal Article] Least-squares log-density gradient clustering for Riemannian manifolds2017

    • Author(s)
      M. Ashizawa, H. Sasaki, T. Sakai, and M. Sugiyama
    • Journal Title

      Proceedings of 29th International Conference on Artificial Intelligence and Statistics

      Volume: 54 Pages: 537-546

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Robust averaging of covariances for EEG recordings classification in motor imagery brain computer interfaces2017

    • Author(s)
      T. Uehara, M. Sartori, S. Fiori, and T. Tanaka
    • Journal Title

      Neural Computation

      Volume: - Issue: 6 Pages: 1631-1666

    • DOI

      10.1162/neco_a_00963

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Comparison of pseudo noise coding and mixed frequency phase coding for visual evoked potential brain computer interface2017

    • Author(s)
      J. Sato and Y. Washizawa
    • Journal Title

      roceedings of the 2017 RISP International Workshop on Nonlinear Circuits, Communications and Signal Processing

      Volume: - Pages: 85-88

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Affine-transformation and 2D-projection Invariant k-NN Classification of Handwritten Characters via a New Matching Measure2016

    • Author(s)
      Yukihiko Yamashita and Toru Wakahara
    • Journal Title

      Pattern Recognition

      Volume: 52 Pages: 459-470

    • DOI

      10.1016/j.patcog.2015.10.002

    • Related Report
      2016 Annual Research Report 2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Theoretical Criterion for Image Matching Using GPT Correlation2016

    • Author(s)
      Shizhi Zhang, Toru Wakahara, and Yukihiko Yamashita
    • Journal Title

      Proceedings of the 23rd International Conference on Pattern Recognition

      Volume: 1 Pages: 544-549

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Regularized multi-task learning for multi-dimensional log-density gradient estimation2016

    • Author(s)
      I. Yamane, H. Sasaki, and, M. Sugiyama
    • Journal Title

      Neural Computation

      Volume: 28 Issue: 7 Pages: 1388-1410

    • DOI

      10.1162/neco_a_00844

    • NAID

      110009971442

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multitask principal component analysis2016

    • Author(s)
      I. Yamane, F. Yger, M. Berar, M. Sugiyama
    • Journal Title

      Proceedings of the 8th Asian Conference on Machine Learning

      Volume: 63 Pages: 302-317

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dimensionality reduction of sample covariance matrices by graph Fourier transform for motor imagery brain-machine interface2016

    • Author(s)
      T. Tanaka, T. Uehara, and Y. Tanaka
    • Journal Title

      2016 IEEE Statistical Signal Processing Workshop

      Volume: - Pages: 1-5

    • DOI

      10.1109/ssp.2016.7551798

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sparse kernel principal component analysis based on elastic net regularization2016

    • Author(s)
      D. Wang and T. Tanaka
    • Journal Title

      2016 International Joint Conference on Neural Networks

      Volume: - Pages: 3703-3708

    • DOI

      10.1109/ijcnn.2016.7727676

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Learning Subspace Classification Using Subset Approximated Kernel Principal Component Analysis2016

    • Author(s)
      Y. Washizawa
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: E99.D Issue: 5 Pages: 1353-1363

    • DOI

      10.1587/transinf.2015EDP7334

    • NAID

      130005148995

    • ISSN
      0916-8532, 1745-1361
    • Related Report
      2016 Annual Research Report 2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Robust averaging of covariance matrices by Riemannian geometry for motor-imagery brain computer interfacing2016

    • Author(s)
      T. Uehara, T. Tanaka, and S. Fiori
    • Journal Title

      Advances in Cognitive Neurodynamics

      Volume: 5 Pages: 347-353

    • DOI

      10.1007/978-981-10-0207-6_48

    • ISBN
      9789811002052, 9789811002076
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Enhanced GPT Correlation for 2D Projection Transformation Invariant Template Matching2015

    • Author(s)
      Toru Wakahara and Yukihiko Yamashita
    • Journal Title

      Proc. 37th German Conference on Pattern Recognition (GCPR2015)

      Volume: LNCS 9358 Pages: 435-445

    • DOI

      10.1007/978-3-319-24947-6_36

    • ISBN
      9783319249469, 9783319249476
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Direct Density Ratio Estimation with Convolutional Neural Networks with Application in Outlier Detection2015

    • Author(s)
      H. Nam and M. Sugiyama
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: E98.D Issue: 5 Pages: 1073-1079

    • DOI

      10.1587/transinf.2014EDP7335

    • NAID

      130005067754

    • ISSN
      0916-8532, 1745-1361
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Importance-weighted covariance estimation for robust common spatial pattern2015

    • Author(s)
      A. Balzi, F. Yger, and M. Sugiyama
    • Journal Title

      Pattern Recognition Letters

      Volume: 68 Pages: 139-145

    • DOI

      10.1016/j.patrec.2015.09.003

    • NAID

      110009971424

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Subspace-constrained multilinear discriminant analysis for ERP-based brain computer interface classification2015

    • Author(s)
      H. Higashi, T. M. Rutkowski, T. Tanaka, and Y. Tanaka
    • Journal Title

      Proceedings of 2015 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference

      Volume: - Pages: 934-940

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Channel selection for brain signal classification by penalized automatic relevance determination2015

    • Author(s)
      R. Togashi and Y. Washizawa
    • Journal Title

      Proceedings of 2015 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference

      Volume: - Pages: 1023-1027

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Direct density ratio estimation with convolutional neural networks with application in outlier detection2015

    • Author(s)
      H. Nam, and M. Sugiyama
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: E98-D

    • NAID

      130005067754

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Efficient construction of dictionaries for kernel adaptive filtering in a dynamic environment2015

    • Author(s)
      Taichi Ishida and Toshihisa Tanaka
    • Journal Title

      Proceedings of International Conference on Acoustics, Speech, and Signal Processing

      Volume: -

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multiple kernel learning for quadratically constrained MAP classification2014

    • Author(s)
      Yoshikazu Washizawa, Tatsuya Yokota, and Yukihiko Yamashita
    • Journal Title

      IEICE Transactions on Information and Systems (letter)

      Volume: E79-D Pages: 1340-1344

    • NAID

      130004519249

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] GPT correlation for 2D projection transformation invariant template matching2014

    • Author(s)
      Yukihiko Yamashita and Toru Wakahara
    • Journal Title

      Proceedings of the 22nd International Conference on Pattern Recognition

      Volume: USB Pages: 24-28

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] k-NN Classification of handwritten characters using a new distortion-tolerant matching measure2014

    • Author(s)
      Yukihiko Yamashita and Toru Wakahara
    • Journal Title

      Proceedings of the 22nd International Conference on Pattern Recognition

      Volume: USB Pages: 24-28

    • DOI

      10.1109/icpr.2014.54

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Information-theoretic semi-supervised metric learning via entropy regularization2014

    • Author(s)
      G. Niu, B. Dai, B., M. Yamada, and M. Sugiyama,
    • Journal Title

      Neural Computation

      Volume: 26 Issue: 8 Pages: 1717-1762

    • DOI

      10.1162/neco_a_00614

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mahalanobis distance on extended Grassmann manifolds for variational pattern analysis2014

    • Author(s)
      Y. Washizawa and S. Hotta
    • Journal Title

      IEEE Trans. Neural Networks and Learning Systems

      Volume: - Issue: 11 Pages: 1980-1990

    • DOI

      10.1109/tnnls.2014.2301178

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Book] 機械学習のための確率と統計2015

    • Author(s)
      杉山 将
    • Total Pages
      127
    • Publisher
      講談社
    • Related Report
      2014 Annual Research Report

URL: 

Published: 2014-04-04   Modified: 2023-03-16  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi