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A Hypothetical Reasoning Method for Computing Near-optimal Solution in polynomial Time

Research Project

Project/Area Number 06452398
Research Category

Grant-in-Aid for General Scientific Research (B)

Allocation TypeSingle-year Grants
Research Field Intelligent informatics
Research InstitutionThe University of Tokyo

Principal Investigator

ISHIZUKA Mitsuru  Unlv.of Tokyo, Dept.of Eng., Professor, 大学院・工学系研究科, 教授 (50114369)

Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥8,200,000 (Direct Cost: ¥8,200,000)
Fiscal Year 1995: ¥2,900,000 (Direct Cost: ¥2,900,000)
Fiscal Year 1994: ¥5,300,000 (Direct Cost: ¥5,300,000)
Keywordsartificial intelligence / knowledge processing / hypothetical reasoning / fast inference / near-optimal solution / polynomial-time inference / 0-1 integer programming
Research Abstract

We have achieved a meaningful result in the area of efficient cost-based or weighted) hypothetical reasoning for computing a near-optimal solution which satisfies all given constraints. Prior to this research, we developed a polynomial-time cost-based hypothetical reasoning method, in which the set of described knowledge is transformed into linear inequalities and then an effioient approximate solution method of 0-1 integer programming called pivot and compliment method is applied to compute a near-optimal solution in polynomial time. While this method is very effective, it is hard for us to grasp its behavior operated in mathematical domain ; as a result, we can not improve its efficiency further by considering the knowledge structure of given problems. Thus we have developed a polynomial-time hypothetical reasoning method called networked bubble propagation (NBP) method, which performs an inference operation conceptually similar to the pivot and compliment method on a unique knowledge network. The time-consuming pivoting operation exchanging the states of basis and non-basis nodes (variables in 0-1 integer programming) is improved by considering the knowl-edge structure. The low-order polynomial-time efficiency of the NBP method is shown experimentally. It can be said that the result of this research is also meaningful in bridging symbol-oriented Al reasoning and OR (operation research) computation operated mathematically in multi-dimensional numerical domains.

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] 石塚 満: "仮説推論の計算量と高速化メカニズム" 人工知能学会誌. 9. 342--349 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Makino,M.Ishizuka: "Speedup of Hypothetical Reasoning by Experience-based Learning" Knowledge-based Systems. 7. 189--198 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 大澤幸生、石塚 満: "仮説推論における準最適解を多項式時間で計算するネットワーク化バブル伝播法" 電子情報通信学会論文誌. J77DII. 1817--1829 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 大澤幸生、石塚 満: "改良型ネットワーク化バブル伝播法による低次多項式時間仮説推論法" 人工知能学会誌. 10. 123--130 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 大澤幸生、石塚 満: "多項式時間仮説推論を達成するネットワーク化バブル伝播法の述語論理への拡張" 人工知能学会誌. 10. 731--740 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 高間、大澤、石塚: "知識の実行時リフォメーションに基づく仮説推論の高速化手法" 人工知能学会誌. 10. 913--920 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 石塚 満: "知識の表現と高速推論" 丸善(予定), 270 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Ishizuka: "Computational Cost of Hypothetical Reasoning and its Fast Inference Mechanism" Jour.Japanese Soc.for AI. Vol.9, No.3. 342-349 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Makino, M.Ishizuka: "Speedup of Hypothetical Reasoning by Experience-based Learning" Knowledge-Based Systems. Vol.7, No.3. 189-198 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N.Domae, M.Ishizuka: "Knowledge-Base Reformation for Hypothetical Reasoning System" Jour.Japanese Soc.for AI. Vol.9, No.4. 595-603 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Ishizuka, T.Okamoto: "A Polynomial-time Hypothetical Reasoning employing an Approximate Solution Method of 0-1 Integer Programming for Computing Near-optimal Solution" Proc.10th Canadian Conf.on AI. 179-186 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Ohsawa, M.Ishizuka: "Networked Bubble Propagation Method as a Polynomial-time Hypothetical Reasoning Computing Near-optimal Solution" Systems and Computers in Japan (Scripta Technica Inc.). Vol.26, No.6. 79-94 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Ohsawa, M.Ishizuka: "A Low-order Polynomial-time Hypothetical Reasoning Based on Improved Networked-Bubble-Propagation Method" Jour.Japanese Soc.for AI. Vol.10, No.1. 123-130 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Ohsawa, M.Ishizuka: "Polynomial-time Predicate-logic Hypothetical Reasoning as an Extension of Networked Bubble Propagation Method" Jour.Japanese Soc.for AI. Vol.10, No.5. 731-740 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Takama, Y.Ohsawa, M.Ishizuka: "Speedup of Hypothetical Reasoning Based on Run-time Knowledge Reformation" Jour.Japanese Soc.for AI. Vol.10, No.6. 913-920 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 石塚満: "計算的知性と計算的感性" 情報処理学会人工知能研報告. 95-AI-100. 95-AI-100-10 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 大澤幸生、石塚満: "多項式時間仮説推論を達成するネットワーク化バブル伝播法の述語論理への拡張" 人工知能学会誌. 10. 731-740 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 高間、大澤、石塚: "知識の実行時リフォメーションに基づく仮説推論の高速化手法" 人工知能学会誌. 10. 913-920 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] E.S.Gomi, M.Ishizuka: "The Effect of Example Depth on Induction of Recursive Programs" Proc.ICLP'95 Workshop on Inductive Logic Programming. 72-75 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] A.Kondo, M.Ishizuka: "Efficient Inference Method for Computing Optimal Solution in Predicate-logic Hypothetical Reasoning" Knowledge-Based Systems. (to appear). (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] X.J.Xu, M.Ishizuka: "A Pipelined Data-path Synthesis Method Based on Simulated Annealing" IEICE Trans.Fubdamentals. E78-A. 1017-1028 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 石塚満: "知識の表現と高速推論" 丸善, 270 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 堂前宣夫、石塚 満: "仮説推論高速化のための知識ベースリフォメーション" 9. 595-603 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Makino,M.Ishizuka: "Speedup of Hypothetical Reasoning by Experience-based Learning Mechanism" Knowledge-Based Systems. 7. 189-198 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] M.Ishizuka,T.Okamoto: "A Polynomial-time Hypothetical Reasoning employing an Approximate Solution Method of 0-1 Integer Programming for Computing Near-optimal Solution" Proc.10th Canadian Conf.on AI. 179-186 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 石塚 満: "仮説推論の計算量と高速化メカニズム" 人工知能学会誌. 9. 342-349 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 大澤幸生、石塚 満: "仮説推論における準最適解を多項式時間で計算するネットワーク化バブル伝搬法" 電子情報通信学会論文誌D-II. J77-D-II. 1817-1829 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 大澤幸生、石塚 満: "改良型ネットワーク化バブル伝播法による低次多項式時間仮説推論法" 人工知能学会誌. 10. 123-130 (1995)

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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