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A Large-scale Enumeration of Minimal Hitting Sets And Its Application to Knowledge Discovery

Research Project

Project/Area Number 26870011
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Theory of informatics
Intelligent informatics
Research InstitutionThe University of Electro-Communications

Principal Investigator

Toda Takahisa  電気通信大学, 大学院情報理工学研究科, 助教 (50451159)

Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywordsヒッティング集合 / 列挙 / アルゴリズム / 二分決定グラフ / SAT / アイテムセットマイニング / 双対化 / 論理関数 / モデル検査 / AllSAT / モデル列挙 / SATソルバー / 論理関数の双対化 / ALLSAT / BDD / 並列化
Outline of Final Research Achievements

This research project developed practically efficient methods for the following important problems: the minimal hitting set enumeration problem and extended problems such as the dualization of Boolean functions and the all solutions SAT problem.Not only novel methods proposed in this research, but also most major methods proposed before were implemented as public software, and their efficiency and characteristics were confirmed through comprehensive experiments.These results and software are publicly available on our website.
Toward applications to knowledge discovery, our software was applied to itemset mining problems based on the so-called declarative approach in data mining, and experiments using actual data taken from transaction databases were conducted, by which promising research problems in this approach and useful knowledge were obtained.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (29 results)

All 2017 2016 2015 2014 Other

All Journal Article (6 results) (of which Peer Reviewed: 6 results,  Open Access: 1 results,  Acknowledgement Compliant: 2 results) Presentation (18 results) (of which Int'l Joint Research: 1 results,  Invited: 2 results) Remarks (5 results)

  • [Journal Article] Exploiting Functional Dependencies of Variables in All Solutions SAT Solvers2017

    • Author(s)
      Takahisa Toda, Takeru Inoue
    • Journal Title

      Journal of Information Processing

      Volume: 25 Issue: 0 Pages: 459-468

    • DOI

      10.2197/ipsjjip.25.459

    • NAID

      130005775576

    • ISSN
      1882-6652
    • Related Report
      2017 Annual Research Report 2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] ZDDと列挙問題 - 最新の技法とプログラミングツール2017

    • Author(s)
      戸田貴久, 斎藤寿樹, 岩下洋哲, 川原純, 湊真一
    • Journal Title

      日本ソフトウェア科学会論文誌 コンピュータソフトウェア

      Volume: -

    • NAID

      130005966815

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Dualization of Boolean Functions Using Ternary Decision Diagrams2017

    • Author(s)
      Takahisa Toda
    • Journal Title

      Annals of Mathematics and Artificial Intelligence

      Volume: 79 Issue: 1-3 Pages: 229-244

    • DOI

      10.1007/s10472-016-9520-z

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Implementing Efficient All Solutions SAT Solvers2016

    • Author(s)
      Takahisa Toda, Takehide Soh
    • Journal Title

      Journal of Experimental Algorithmics

      Volume: 21(1) Pages: 1-44

    • DOI

      10.1145/2975585

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Superset generation on decision diagrams2015

    • Author(s)
      Takahisa Toda, Shogo Takeuchi, Koji Tsuda, Shin-ichi Minato
    • Journal Title

      Proc. 9th International Workshop on Algorithms and Computation (WALCOM 2015), Lecture Notes in Computer Science

      Volume: 8973 Pages: 317-322

    • DOI

      10.1007/978-3-319-15612-5_28

    • ISBN
      9783319156118, 9783319156125
    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] A General Framework for Parallel Unary Operations on ZDDs2014

    • Author(s)
      Shogo Takeuchi, Takahisa Toda, Shin-ichi Minato
    • Journal Title

      Trends and Applications in Knowledge Discovery and Data Mining Lecture Notes in Computer Science

      Volume: 8643 Pages: 494-503

    • DOI

      10.1007/978-3-319-13186-3_44

    • NAID

      40019948150

    • ISBN
      9783319131856, 9783319131863
    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] モデル検査における反例発見から反例列挙への拡張2017

    • Author(s)
      戸田貴久
    • Organizer
      基盤(S) 離散構造処理系プロジェクト「2017年度 初夏のワークショップ」
    • Related Report
      2017 Annual Research Report
  • [Presentation] 反例列挙に基づくモデル解析について2017

    • Author(s)
      戸田貴久
    • Organizer
      基盤(S) 離散構造処理系プロジェクト「2017年度 秋のワークショップ」
    • Related Report
      2017 Annual Research Report
  • [Presentation] 命題論理式を充足する変数割当の網羅的探索手法について2017

    • Author(s)
      戸田貴久
    • Organizer
      人工知能学会 第103回人工知能基本問題研究会(SIG-FPAI)
    • Place of Presentation
      湯布院公民館(大分県由布市)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 効率的なAllSATソルバーの実装と評価2017

    • Author(s)
      戸田貴久
    • Organizer
      第19回プログラミングおよびプログラミング言語ワークショップ(PPL2017)
    • Place of Presentation
      華やぎの章 慶山(山梨県笛吹市)
    • Related Report
      2016 Research-status Report
  • [Presentation] 変数間の支配関係に基づく論理式の全解列挙手法2016

    • Author(s)
      戸田 貴久, 井上 武
    • Organizer
      第30回人工知能学会全国大会
    • Place of Presentation
      福岡県北九州市
    • Year and Date
      2016-06-06
    • Related Report
      2015 Research-status Report
  • [Presentation] 変数間の支配関係に基づく論理式の全解列挙手法2016

    • Author(s)
      戸田貴久
    • Organizer
      第30回人工知能学会全国大会
    • Place of Presentation
      北九州国際会議場(福岡県北九州市)
    • Related Report
      2016 Research-status Report
  • [Presentation] AllSATソルバの最近の進展2015

    • Author(s)
      戸田貴久, 宋剛秀
    • Organizer
      ERATO湊離散構造処理系プロジェクト2015年度秋のワークショップ
    • Place of Presentation
      北海道千歳市
    • Year and Date
      2015-11-08
    • Related Report
      2015 Research-status Report
  • [Presentation] BDDに基づくALLSATソルバーを用いたアイテムセットマイニング2015

    • Author(s)
      戸田貴久, 津田 宏治
    • Organizer
      第29回人工知能学会全国大会
    • Place of Presentation
      北海道函館市
    • Year and Date
      2015-05-31
    • Related Report
      2015 Research-status Report
  • [Presentation] BDD construction for all solutions SAT and efficient caching mechanism2015

    • Author(s)
      Takahisa Toda, Koji Tsuda
    • Organizer
      Proceedings of the 30th Annual ACM Symposium on Applied Computing
    • Place of Presentation
      Salamanca, Spain
    • Year and Date
      2015-04-17
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] BDD Construction for All Solutions SAT and Efficient Caching Mechanism2015

    • Author(s)
      Takahisa Toda, Koji Tsuda
    • Organizer
      the 30th Annual ACM Symposium on Applied Computing
    • Place of Presentation
      Salamanca, Spain
    • Year and Date
      2015-04-13 – 2015-04-17
    • Related Report
      2014 Research-status Report
  • [Presentation] ALLSATのためのBDD構築および効率的なキャッシング技法2015

    • Author(s)
      戸田貴久,津田宏治
    • Organizer
      人工知能学会 第97回人工知能基本問題研究会(SIG-FPAI)
    • Place of Presentation
      大分県別府市
    • Year and Date
      2015-03-22 – 2015-03-23
    • Related Report
      2014 Research-status Report
  • [Presentation] All Solutions SAT, BDD Compilation and Pattern Mining2015

    • Author(s)
      Takahisa Toda, Koji Tsuda
    • Organizer
      JST ERATO Kawarabayashi Large Graph Project / Minato Discrete Structure Manipulation System Project Joint Workshop
    • Place of Presentation
      東京都江東区
    • Year and Date
      2015-01-23
    • Related Report
      2014 Research-status Report
  • [Presentation] Efficient Caching Mechanism in BDD Compilation2014

    • Author(s)
      Takahisa Toda, Koji Tsuda
    • Organizer
      ERATO-ALSIP Special Seminar 2014
    • Place of Presentation
      京都府京都市
    • Year and Date
      2014-12-12 – 2014-12-13
    • Related Report
      2014 Research-status Report
  • [Presentation] Dualization Using Decision Diagrams and Its Application for Itemset Mining2014

    • Author(s)
      Takahisa Toda
    • Organizer
      INFORMS2014
    • Place of Presentation
      San Francisco, USA
    • Year and Date
      2014-11-09 – 2014-11-12
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] DPLL型BDD構築法の改善2014

    • Author(s)
      戸田貴久
    • Organizer
      ERATO湊離散構造処理系プロジェクト2014年度秋のワークショップ
    • Place of Presentation
      北海道礼文島
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Research-status Report
  • [Presentation] SATソルバーを用いたBDD構築法2014

    • Author(s)
      戸田貴久
    • Organizer
      第5回CSPSAT2研究会
    • Place of Presentation
      兵庫県神戸市
    • Year and Date
      2014-08-21 – 2014-08-22
    • Related Report
      2014 Research-status Report
  • [Presentation] 乗法標準形で与えられた論理関数に対する二分決定グラフ構築の効率化2014

    • Author(s)
      岩下洋哲, 戸田貴久, 津田 宏治, 湊真一
    • Organizer
      第28回人工知能学会全国大会
    • Place of Presentation
      愛媛県松山市
    • Year and Date
      2014-05-12 – 2014-05-15
    • Related Report
      2014 Research-status Report
  • [Presentation] メモリ階層を考慮したBDD演算とその並列化2014

    • Author(s)
      戸田貴久
    • Organizer
      ERATO湊離散構造処理系プロジェクト2014年度春のワークショップ
    • Place of Presentation
      北海道札幌市
    • Year and Date
      2014-04-18 – 2014-04-19
    • Related Report
      2014 Research-status Report
  • [Remarks] All Solutions SAT Repository

    • URL

      http://www.sd.is.uec.ac.jp/toda/code/allsat.html

    • Related Report
      2017 Annual Research Report 2016 Research-status Report 2015 Research-status Report
  • [Remarks] CNF2OBDD

    • URL

      http://www.sd.is.uec.ac.jp/toda/code/cnf2obdd.html

    • Related Report
      2017 Annual Research Report
  • [Remarks] DB-TDD

    • URL

      http://www.sd.is.uec.ac.jp/toda/code/dbtdd.html

    • Related Report
      2017 Annual Research Report 2016 Research-status Report
  • [Remarks] DB-TDD: Dualization of Boolean Functions

    • URL

      http://www.sd.is.uec.ac.jp/toda/code/dbtdd.html

    • Related Report
      2015 Research-status Report
  • [Remarks] Homepage of Takahisa Toda

    • URL

      http://www.sd.is.uec.ac.jp/toda/

    • Related Report
      2014 Research-status Report

URL: 

Published: 2014-04-04   Modified: 2019-03-29  

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