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Analysis of Iterative Solvers for Structured MAX-XORSAT

Research Project

Project/Area Number 25330264
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Intelligent informatics
Research InstitutionHiroshima City University

Principal Investigator

Mimura Kazushi  広島市立大学, 情報科学研究科, 准教授 (40353297)

Co-Investigator(Renkei-kenkyūsha) Watanabe Osamu  東京工業大学, 大学院情報理工学研究科, 教授 (80158617)
Research Collaborator Coolen A. C. C.  King's College London, 教授
Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords充足可能性問題 / 反復解法 / 経路積分 / 疎結合系 / 経路積分法
Outline of Final Research Achievements

The steady state of the parallel iterative algorithms for solving MAX-XORSAT is evaluated under some condition. In the case where a graph that represents a structure of the problem has loops, our research collaborator showed that its property can be analyzed by using the eigenvalue distribution of its incidence matrix. Some problems that have a similar mathematical structure are also analyzed.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (31 results)

All 2016 2015 2014 2013 Other

All Int'l Joint Research (1 results) Journal Article (7 results) (of which Peer Reviewed: 6 results,  Acknowledgement Compliant: 4 results,  Open Access: 1 results) Presentation (21 results) (of which Int'l Joint Research: 3 results,  Invited: 5 results) Remarks (2 results)

  • [Int'l Joint Research] King's College London(United Kingdom)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] 圧縮センシングの最近の展開 ー空間結合, 安定な反復推定, 辞書学習 ー2016

    • Author(s)
      三村和史
    • Journal Title

      システム制御情報学会誌

      Volume: 60 Pages: 99-106

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] High-quality recovery of non-sparse signals from compressed sensing -Beyond L1 norm minimization-,2015

    • Author(s)
      Hirabayashi,A., Inamuro,N., Nishiyama,A., and Mimura,K.
    • Journal Title

      IEICE Trans. Fundamentals.

      Volume: E98-A Pages: 1880-1887

    • NAID

      130005095889

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Generating Functional Analysis for Iterative CDMA Multiuser Detectors2014

    • Author(s)
      Kazushi MIMURA and Masato OKADA
    • Journal Title

      IEEE Transactions on Information Theory

      Volume: 60 Issue: 6 Pages: 2391-2397

    • DOI

      10.1109/tit.2014.2313857

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 非適応型グループテスト:解析とアルゴリズム2014

    • Author(s)
      三村和史
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1928 Pages: 92-94

    • Related Report
      2014 Research-status Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] Generating Functional Analysis for Iterative CDMA Multiuser Detectors2014

    • Author(s)
      Kazushi Mimura, Masato Okada
    • Journal Title

      IEEE Transactions on Information Theory (to appear)

      Volume: (to appear)

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Complex approximate message passing algorithm for two-dimensional compressed sensing2013

    • Author(s)
      Akira Hirabayashi, Jumpei Sugimoto, Kazushi Mimura
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: vol. E96-A, no.12 Pages: 2391-2397

    • NAID

      130003385288

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Weight Distribution of a Nonlinear Code2013

    • Author(s)
      Akihito Osugi, Masaru Kashisako, Kazushi Mimura
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: vol. 82, no. 11 Issue: 11 Pages: 115003-115003

    • DOI

      10.7566/jpsj.82.115003

    • NAID

      210000132850

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] On Introducing Damping to Bayes Optimal Approximate Message Passing for Compressed Sensing2015

    • Author(s)
      Mimura, K.
    • Organizer
      APSIPA Annual Summit and Conference 2015 (APSIPA ASC 2015)
    • Place of Presentation
      Hong Kong, China
    • Year and Date
      2015-12-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 疎行列と非線形関数で定義される非線形符号の距離分布2015

    • Author(s)
      三村和史, 和田山正
    • Organizer
      情報理論とその応用ワークショップ(SITA2015)
    • Place of Presentation
      岡山
    • Year and Date
      2015-11-24
    • Related Report
      2015 Annual Research Report
  • [Presentation] ブーリアン圧縮センシングの観測の性質2015

    • Author(s)
      三村和史, 和田山正
    • Organizer
      平成27年度数学協働プログラム・ワークショップ「ウェーブレット理論と工学への応用」
    • Place of Presentation
      大阪
    • Year and Date
      2015-11-11
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] 疎行列と非線形写像で定義される非線形符号の距離分布2015

    • Author(s)
      三村和史, 和田山正
    • Organizer
      シャノン理論ワークショップ (STW2015)
    • Place of Presentation
      和歌山
    • Year and Date
      2015-09-24
    • Related Report
      2015 Annual Research Report
  • [Presentation] 情報の物理学2015

    • Author(s)
      三村和史
    • Organizer
      第4回NetSci研究会/CCS研究会合同ワークショップ
    • Place of Presentation
      北海道
    • Year and Date
      2015-08-06
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Bitwise MAP Estimation for Group Testing based on Holographic Transformation2015

    • Author(s)
      Wadayama,T., Izumi,T., and Mimura,K.,
    • Organizer
      International Syposium on Information Theory 2015 (ISIT2015)
    • Place of Presentation
      Hong Kong, China
    • Year and Date
      2015-07-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Bitwise MAP Estimation for Group Testing based on Holographic Transformation2015

    • Author(s)
      Tadashi WADAYAMA, Taisuke IZUMI, and Kazushi MIMURA
    • Organizer
      Proc. of 2015 IEEE International Symposium on Information Theory (ISIT2015)
    • Place of Presentation
      Hong Kong, China
    • Year and Date
      2015-06-14 – 2015-06-19
    • Related Report
      2014 Research-status Report
  • [Presentation] Distance distribution of a nonlinear random code using nonlinear functions2015

    • Author(s)
      Kazushi MIMURA
    • Organizer
      Proc. of 9th Asian-European Workshop on Information Theory (AEW9)
    • Place of Presentation
      Matsuyama, Japan
    • Year and Date
      2015-05-27 – 2015-05-29
    • Related Report
      2014 Research-status Report
  • [Presentation] Distance Distribution of a Nonlinear Random Code using Nonlinear Functions2015

    • Author(s)
      Mimura, K.
    • Organizer
      Asia Europe Workshop 9 (AEW9)
    • Place of Presentation
      Ehime, Japan
    • Year and Date
      2015-05-27
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Compressed sensing MRI using sparsity induced from adjacent slice similarity2015

    • Author(s)
      Hirabayashi,A., Inamuro,N., Mimura,K., Kurihara,T., and Homma,T.
    • Organizer
      International Conference on Sampling Theory and Applications 2015 (SampTA2015)
    • Place of Presentation
      Washington DC, US
    • Year and Date
      2015-05-25
    • Related Report
      2015 Annual Research Report
  • [Presentation] 圧縮センシング:頑健なアルゴリズム,辞書学習,空間結合2015

    • Author(s)
      三村 和史
    • Organizer
      第59回システム制御情報学会研究発表講演会(SCI'15)予稿集
    • Place of Presentation
      大阪
    • Year and Date
      2015-05-20 – 2015-05-22
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 圧縮センシング:頑健なアルゴリズム,辞書学習,空間結合2015

    • Author(s)
      三村和史
    • Organizer
      第59回システム制御情報学会研究発表講演会 (SCI'15)
    • Place of Presentation
      大阪
    • Year and Date
      2015-05-20
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] A Method for Single Frame Super Resolution with Inpainting Based on Sparse Dictionary Learning2014

    • Author(s)
      Takuya UMEHARA, Kazushi MIMURA, and Akira HIRABAYASHI
    • Organizer
      Proc. of 2014 Annual Summit and Conference of Asia-Pacific Signal and Information Processing Association (APSIPA2014)
    • Place of Presentation
      Angkor Wat, Cambodia
    • Year and Date
      2014-12-09 – 2014-12-12
    • Related Report
      2014 Research-status Report
  • [Presentation] Beyond L1 norm minimization - High quality recovery of non-sparse compressible signals2014

    • Author(s)
      Aiko NISHIYAMA, Yuki YAMANAKA, Akira HIRABAYASHI, and Kazushi MIMURA
    • Organizer
      Proc. of 2014 Annual Summit and Conference of Asia-Pacific Signal and Information Processing Association (APSIPA2014)
    • Place of Presentation
      Angkor Wat, Cambodia
    • Year and Date
      2014-12-09 – 2014-12-12
    • Related Report
      2014 Research-status Report
  • [Presentation] 密行列と非線形関数を用いた非線形符号の距離分布2014

    • Author(s)
      三村和史
    • Organizer
      第37回情報理論とその応用シンポジウム(SITA2014)予稿集
    • Place of Presentation
      富山
    • Year and Date
      2014-12-09 – 2014-12-12
    • Related Report
      2014 Research-status Report
  • [Presentation] 圧縮センシングによる超解像におけるAMPアルゴリズムの振る舞いについて2014

    • Author(s)
      高木美里, 三村和史, 川喜田雅則, 竹内純一
    • Organizer
      第37回情報理論とその応用シンポジウム(SITA2014)予稿集
    • Place of Presentation
      富山
    • Year and Date
      2014-12-09 – 2014-12-12
    • Related Report
      2014 Research-status Report
  • [Presentation] 圧縮センシングからの高精度なノンスパース信号再構成2014

    • Author(s)
      西山愛子, 山中祐輝, 平林晃, 三村和史
    • Organizer
      信号処理研究会予稿集
    • Place of Presentation
      北海道
    • Year and Date
      2014-07-11
    • Related Report
      2014 Research-status Report
  • [Presentation] 一般的なランダムハイパーグラフの最小頂点被覆2013

    • Author(s)
      三村和史
    • Organizer
      第36回情報理論とその応用シンポジウム(SITA2013)予稿集, 7.4.4 (2013.11.28).
    • Place of Presentation
      静岡県伊東市
    • Related Report
      2013 Research-status Report
  • [Presentation] 圧縮センシングによるシングルフレーム超解像について2013

    • Author(s)
      高木美里, 三村和史, 竹内純一
    • Organizer
      第36回情報理論とその応用シンポジウム(SITA2013)予稿集, 3.2.4 (2013.11.27).
    • Place of Presentation
      静岡県伊東市
    • Related Report
      2013 Research-status Report
  • [Presentation] 一般的なランダムハイパーグラフの最小頂点被覆2013

    • Author(s)
      三村和史
    • Organizer
      第8回シャノン理論ワークショップ
    • Place of Presentation
      広島県広島市
    • Related Report
      2013 Research-status Report
  • [Presentation] Approximate Message Passing Algorithm for Complex Separable Compressed Imaging2013

    • Author(s)
      Akira Hirabayshi, Jumpei Sugimoto, Kazushi Mimura
    • Organizer
      Proceedings of the 2013 Asia-Pacific Signal and Information Processing Association (APSIPA2013)
    • Place of Presentation
      Kaohsiung, Taiwan
    • Related Report
      2013 Research-status Report
  • [Remarks]

    • URL

      http://www.info.hiroshima-cu.ac.jp/~mimura/

    • Related Report
      2015 Annual Research Report
  • [Remarks] webページ

    • URL

      http://www.info.hiroshima-cu.ac.jp/~mimura/

    • Related Report
      2014 Research-status Report

URL: 

Published: 2014-07-25   Modified: 2019-07-29  

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