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Algorithms for solving the sum-of-ratios problem using polynomialrelaxations and its application to sequence alignment

Research Project

Project/Area Number 19510135
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Social systems engineering/Safety system
Research InstitutionMuroran Institute of Technology

Principal Investigator

SHI Jianming  Muroran Institute of Technology, 工学部, 准教授 (70287465)

Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2007: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords最適化 / 分数和情報学計画 / 生体情報学 / Mathematical Programming / ACO / ACS / Sequence Multiple Alignment / Ant Algorithm / Sum of ratios problem / Fractional Programming / Motif finding / NP-hard problem / 数理計画 / 分数和計画 / モチーフ / バイオインフォマティクス
Research Abstract

生体生命における情報の中に共通配列(モチーフ)を探し出すことを研究の目的である. モチーフを評価するため, 情報量に基き, ある種の分数和を最大化することが必要である. 本研究はこのような既存の分数和を最大にする計算方法(アルゴリズム)を研究し, 2005に発表されたモチーフ抽出アルゴリズムを大幅改良した. 数値実験の結果では,計算速度を2900倍に速くすることに成功した.

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (12 results)

All 2009 2008 2007 Other

All Journal Article (4 results) (of which Peer Reviewed: 2 results) Presentation (7 results) Remarks (1 results)

  • [Journal Article] A Modified Algorithm for Sequence Alignment Using Ant Colony System2009

    • Author(s)
      Ai Mikami, Jianming Shi
    • Journal Title

      IPSJ Transactions on Bioinformatics Vol 2

      Pages: 63-73

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A modified algorithm for sequence alignment using Ant Colony System2009

    • Author(s)
      Ai Mikami/Jianming Shi
    • Journal Title

      IPSJ Transaction on Bioinformatics 2

      Pages: 1-11

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ACOを用いたモチーフ抽出アルゴリズムに関する研究2007

    • Author(s)
      三上あい/施建明
    • Journal Title

      IPSJ SIG Technical Report 2007-BIO-11

      Pages: 203-210

    • NAID

      110006595427

    • Related Report
      2008 Annual Research Report
  • [Journal Article] ACOを用いたモチーフ抽出アルゴリズムに関数する研究2007

    • Author(s)
      三上あい、施建明
    • Journal Title

      情報処理学会研究報告 MPS-67

      Pages: 203-210

    • Related Report
      2007 Annual Research Report
  • [Presentation] Solving Sum of Linear Ratios Problem using Linear Relaxation2009

    • Author(s)
      Jianming Shi
    • Organizer
      International Conference on the Dynamics of Information Systems
    • Place of Presentation
      Hilton University of Florida, Gainesville, FL
    • Year and Date
      2009-01-30
    • Related Report
      2008 Annual Research Report
  • [Presentation] Solving Sum of Linear Ratios Problem using Linear Relaxation2008

    • Author(s)
      J. Shi
    • Place of Presentation
      Hilton University of Florida, Gainesville, FL
    • Related Report
      2008 Final Research Report
  • [Presentation] A new algorithm for solving sum-of-linear-ratio problem2007

    • Author(s)
      Jianming Shi
    • Organizer
      ICOTA7
    • Place of Presentation
      International Convention Center, Kobe, Japan
    • Year and Date
      2007-12-13
    • Related Report
      2008 Annual Research Report
  • [Presentation] Algorithms for Sum-of-ratios2007

    • Author(s)
      Jianming Shi
    • Organizer
      Informs 2007
    • Place of Presentation
      Washington State Convention & Trade Center, Seattle, WA
    • Year and Date
      2007-11-07
    • Related Report
      2008 Annual Research Report
  • [Presentation] Optmization of Sum-Of-Ratios Problem and its Applications2007

    • Author(s)
      Jianming Shi
    • Organizer
      INFORMS
    • Place of Presentation
      Seattle, Washington, USA
    • Year and Date
      2007-11-07
    • Related Report
      2007 Annual Research Report
  • [Presentation] INFORS 20072007

    • Author(s)
      J. Shi
    • Organizer
      Washington State Convention & Trade Center
    • Place of Presentation
      Washington State Convention & Trade Center, Seattle, WA
    • Year and Date
      2007-04-07
    • Related Report
      2008 Final Research Report
  • [Presentation] A new algorithm for solving the sum-of-linear-ratio problem2007

    • Author(s)
      J.Shi
    • Organizer
      ICOTA7
    • Place of Presentation
      International Convention Center, Kobe
    • Related Report
      2008 Final Research Report
  • [Remarks]

    • URL

      http://www.mmm.muroran-it.ac.jp/~shi/

    • Related Report
      2008 Final Research Report

URL: 

Published: 2007-04-01   Modified: 2016-04-21  

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