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Sparse coding with signal processing on graphs

Research Project

Project/Area Number 16H04362
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Communication/Network engineering
Research InstitutionTokyo University of Agriculture and Technology

Principal Investigator

Tanaka Yuichi  東京農工大学, 工学(系)研究科(研究院), 准教授 (10547029)

Co-Investigator(Kenkyū-buntansha) 田中 聡久  東京農工大学, 工学(系)研究科(研究院), 教授 (70360584)
京地 清介  北九州市立大学, 国際環境工学部, 准教授 (70634616)
小野 峻佑  東京工業大学, 科学技術創成研究院, 助教 (60752269)
Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥16,900,000 (Direct Cost: ¥13,000,000、Indirect Cost: ¥3,900,000)
Fiscal Year 2018: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2016: ¥8,970,000 (Direct Cost: ¥6,900,000、Indirect Cost: ¥2,070,000)
Keywordsグラフ信号処理 / 機械学習 / 信号処理 / スパース符号化 / センサネットワーク
Outline of Final Research Achievements

With this grant, we achieved a fast graph sampling method and large-scale singular value thresholding without matrix decomposition.
We employed knowledge of graph signal processing for graph sampling. Particularly, we apply graph localization operators to determine the sampling set. The proposed method is significantly faster than the alternative methods. The signal reconstruction quality of the proposed method also outperformed the existing approaches. For singular value thresholding, we utilized Chebyshev polynomial approximation for the thresholding: We presented that the singular values can be processed without an explicit matrix decomposition.

Academic Significance and Societal Importance of the Research Achievements

Society 5.0 の実現のためには IoT から得られるビッグデータを効率よく処理する必要がある.本研究の成果は,ビッグデータ解析に対して(グラフ)信号処理の立場から非常に効率的なアルゴリズムを提案したことに学術的意義がある.同時に,今後ますます需要が増すビッグデータを利用した AI に対し,実用的にも大きな一歩となることが期待できる.

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • Research Products

    (30 results)

All 2019 2018 2017 2016 Other

All Int'l Joint Research (5 results) Journal Article (13 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 13 results,  Open Access: 3 results,  Acknowledgement Compliant: 4 results) Presentation (12 results) (of which Int'l Joint Research: 5 results,  Invited: 2 results)

  • [Int'l Joint Research] University of Southern California(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Southern California(米国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Deakin University(オーストラリア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] University of Southern California(米国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] La Trobe University(オーストラリア)

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Two-Channel Critically Sampled Graph Filter Banks With Spectral Domain Sampling2019

    • Author(s)
      Sakiyama Akie、Watanabe Kana、Tanaka Yuichi、Ortega Antonio
    • Journal Title

      IEEE Transactions on Signal Processing

      Volume: 67 Issue: 6 Pages: 1447-1460

    • DOI

      10.1109/tsp.2019.2892033

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Eigendecomposition-Free Sampling Set Selection for Graph Signals2019

    • Author(s)
      Sakiyama Akie、Tanaka Yuichi、Tanaka Toshihisa、Ortega Antonio
    • Journal Title

      IEEE Transactions on Signal Processing

      Volume: 67 Issue: 10 Pages: 2679-2692

    • DOI

      10.1109/tsp.2019.2908129

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] SVD for Very Large Matrices: An Approach with Polar Decomposition and Polynomial Approximation2018

    • Author(s)
      Onuki Masaki、Tanaka Yuichi
    • Journal Title

      IEEE International Conference on Data Mining Workshops (ICDMW)

      Volume: 1 Pages: 954-963

    • DOI

      10.1109/icdmw.2018.00138

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] DESIGN OF SAMPLING MATRICES IN GRAPH FREQUENCY DOMAIN FOR GRAPH SIGNAL PROCESSING2018

    • Author(s)
      Shimizu Yukinai、Tanaka Yuichi
    • Journal Title

      IEEE International Conference on Image Processing (ICIP)

      Volume: 1 Pages: 1078-1082

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamic color lines2018

    • Author(s)
      Nishikawa Tomohiro、Tanaka Yuichi
    • Journal Title

      IEEE International Conference on Image Processing (ICIP)

      Volume: 1 Pages: 2247-2251

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Colors in multimodal data: Dominant line extraction inspired by computer vision techniques2017

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

      Proceedings of IEEE IGARSS 2017

      Volume: 1 Pages: 1-4

    • DOI

      10.1109/igarss.2017.8126820

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fast Singular Value Shrinkage With Chebyshev Polynomial Approximation Based on Signal Sparsity2017

    • Author(s)
      Onuki Masaki、Ono Shunsuke、Shirai Keiichiro、Tanaka Yuichi
    • Journal Title

      IEEE Transactions on Signal Processing

      Volume: 65 Issue: 22 Pages: 6083-6096

    • DOI

      10.1109/tsp.2017.2745444

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Almost Tight Spectral Graph Wavelets With Polynomial Filters2017

    • Author(s)
      D. B. H. Tay, Y. Tanaka, A. Sakiyama
    • Journal Title

      IEEE Journal of Selected Topics in Signal Processing

      Volume: 11 Issue: 6 Pages: 812-824

    • DOI

      10.1109/jstsp.2017.2726972

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Graph reduction method using localization operator and its application to pyramid transform2017

    • Author(s)
      A. Sakiyama, Y. Tanaka
    • Journal Title

      Proceedings of APSIPA ASC 2017

      Volume: 1 Pages: 1-5

    • DOI

      10.1109/apsipa.2017.8282001

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Control and Signal Processing on Networks2016

    • Author(s)
      田中雄一,永原正章
    • Journal Title

      Journal of The Society of Instrument and Control Engineers

      Volume: 55 Issue: 11 Pages: 924-929

    • DOI

      10.11499/sicejl.55.924

    • NAID

      130005284214

    • ISSN
      0453-4662, 1883-8170
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Pyramidal image representation with deformation: Reformulation of domain transform and filter designs2016

    • Author(s)
      S. Yagyu, A. Sakiyama, and Y. Tanaka
    • Journal Title

      Proc. of 2016 IEEE International Conference on Image Processing (ICIP 2016)

      Volume: - Pages: 3608-3612

    • DOI

      10.1109/icip.2016.7533032

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Mesh-based image retargeting with spectral graph filtering2016

    • Author(s)
      Y. Tanaka, S. Yagyu, A. Sakiyama, and M. Onuki
    • Journal Title

      Proc. of 2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC 2016)

      Volume: - Pages: 1-6

    • DOI

      10.1109/apsipa.2016.7820728

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Construction of undersampled graph filter banks via row subset selection2016

    • Author(s)
      A. Sakiyama and Y. Tanaka
    • Journal Title

      Proc. of 2016 IEEE Global Conference on Signal and Information Processing (GlobalSIP 2016)

      Volume: - Pages: 322-326

    • DOI

      10.1109/globalsip.2016.7905856

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Design of Sampling Matrices in Graph Frequency Domain Taking a Trade-Off for Characteristics Between Vertex and Frequency Domains2018

    • Author(s)
      Shimizu Yukina、Tanaka Yuichi
    • Organizer
      Graph Signal Processing Workshop
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] グラフウェーブレット変換に基づくグラフ信号のスケーラブル符号化2018

    • Author(s)
      井田大城,田中雄一
    • Organizer
      電子情報通信学会信号処理研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] グラフ信号処理におけるポリフェーズフィルタバンクの設計2018

    • Author(s)
      崎山亮恵,田中雄一
    • Organizer
      電子情報通信学会信号処理研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] カーネルロジスティック回帰におけるガウスカーネルパラメータの最適化2018

    • Author(s)
      福森航輔,和田智也,田中聡久
    • Organizer
      電子情報通信学会信号処理研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] A "polyphase" structure of two-channel spectral graph wavelets and filter banks2017

    • Author(s)
      Y. Tanaka and A. Sakiyama
    • Organizer
      ICASSP 2017
    • Place of Presentation
      New Orleans(米国)
    • Year and Date
      2017-03-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Accelerated sensor position selection using graph localization operator2017

    • Author(s)
      A. Sakiyama, Y. Tanaka, T. Tanaka, and A. Ortega
    • Organizer
      ICASSP 2017
    • Place of Presentation
      New Orleans(米国)
    • Year and Date
      2017-03-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Hyperspectral image restoration by hybrid spatio-spectral total variation2017

    • Author(s)
      S. Takeyama, S. Ono, and I. Kumazawa
    • Organizer
      ICASSP 2017
    • Place of Presentation
      New Orleans(米国)
    • Year and Date
      2017-03-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] マルチモーダルGISデータにおけるDominant Line抽出2017

    • Author(s)
      西川智裕,田中雄一
    • Organizer
      電子情報通信学会信号処理研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] スペクトルクラスタリングのための低ランク/スパース分解を用いたグラフ学習2017

    • Author(s)
      金田大寿,小貫真希,田中雄一
    • Organizer
      電子情報通信学会信号処理研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Graph wavelets and filter banks: Designs in graph spectral domain2017

    • Author(s)
      Yuichi Tanaka
    • Organizer
      Graph Signal Processing Workshop 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 頂点領域とスペクトル領域の特性を同時に考慮したグラフ信号のサンプリング2017

    • Author(s)
      清水幸奈,小野峻佑,田中 雄一
    • Organizer
      第32回信号処理シンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] 大規模時空間データのスパース表現に向けて:グラフ信号処理の基礎と応用2016

    • Author(s)
      田中雄一
    • Organizer
      第28回RAMPシンポジウム
    • Place of Presentation
      新潟大学(新潟県新潟市)
    • Year and Date
      2016-10-13
    • Related Report
      2016 Annual Research Report
    • Invited

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Published: 2016-04-21   Modified: 2022-05-20  

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