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Learning Baysian Networks based on the MDL principle

Research Project

Project/Area Number 09680367
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Intelligent informatics
Research InstitutionOsaka University

Principal Investigator

SUZUKI Joe  Osaka University Graduate school of Science Associate Professor, 大学院・理学研究科, 助教授 (50216397)

Co-Investigator(Kenkyū-buntansha) SATAKE Ikuo  Osaka University Graduate school of Science Research Associate, 大学院・理学研究科, 助手 (80243161)
KIKUCHI Kazunori  Osaka University Graduate school of Science Research Associate, 大学院・理学研究科, 助手 (40252572)
TAKAHASHI Satoshi  Osaka University Graduate school of Science Lecturer, 大学院・理学研究科, 講師 (70226835)
NAGATOMO Kiyokazu  Osaka University Graduate school of Science Associate Professor, 大学院・理学研究科, 助教授 (90172543)
MURAKAMI Jun  Osaka University Graduate school of Science Associate Professor, 大学院・理学研究科, 助教授 (90157751)
Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 1998: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 1997: ¥2,000,000 (Direct Cost: ¥2,000,000)
KeywordsMDL principle / Baysian Networks / machine learning / a prior knowledge / lranch and bound lechuzue / 帰納推論 / ネットワーク構造
Research Abstract

In this study, the computational issue in the problem of learning Bayesian belief networks (BBNs) based on the minimum description length (MDL) principle is addressed.Based on an asymptotic formula of description length, we apply the branch and bound technique to finding true network structures.The resulting algorithm searches considerably saves the computation yet successfully searches the network structure with the minimum value of the formula.Thus far, there has been no search algorithm that finds the optimal solution for examples of practical size and a set of network structures in the sense of the maximum posterior probability, and heuristic searches such as K2 and K3 trap in local optima due to the greedy nature even when the sample size is large.The proposed algorithm, since it minimizes the description length, eventually selects the true network structure as the sample size goes to infinity.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (24 results)

All Other

All Publications (24 results)

  • [Publications] Joe Suzuki: "A Further Result on the Markor Chain Model of GAs and then Application to SA-like strategy" IEEE Trans.on Systems,Man,and Cybern.Part B. Vol28 no1. 95-102 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Joe Suzuki: "A Relation ship between Context Tree Weijhting and General Weighting Techniques for Tree Sources" IEICE Trans.on Founclamentals.Vol81-A no10. 2412-2417 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Joe Suzuki: "Learning Bayesian Belief Networks Based on the MDL Principle : An efficiえnt algorithm using the branch and bound techniques." IEICE Trans.on Information and Sysstems.Vol82-D no2. 356-366 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Joseph Silverman and Joe Suzuki: "Elliptec Curve Discrete Logarcthm and the Index Calculus" Lecture Note on Computer.Science,Asia crypt '98. 1514. 110-125 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Harasawa,Shikata Suzuki Imai: "Comparing the Mov and FR reductions in Elliptic Curve Crypto graphy" Lecture Note on Computer Science,Eurocrypt '99. 1592. 189-204 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hojo,Ryobko,Suzuki: "It is not enough to use stationary ergodic source for analyzing universal coding" Int.Symp.on Information Theory and its applications. (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 鈴木 譲,横尾英俊: "情報理論とその応用学会 情報源符号化とデータ圧縮 一無なみ圧縮(分筆)" 培風館, 18 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Joe Suzuki: ""A Further Result on the Markov Chain Model of GAs and Their Application to SA-like Strategy"" IEEE Trans.on System, Man, and Cybernetics Part B. Vol.28, No.1. 95-102 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Joe Suzuki: ""A Relationship between Context Tree Weighting and General Model Weighting Tech-niques for Tree Sources"" IEICE Trans.on Fundamentals.Vol.81-A,No.10. 2412-2417 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Joseph H.Silverman and Joe Suzuki: ""Elliptic Curve Discrete Logarithms and the Index Calculus"" Lecture Note on Computer Science (1514), Asiacrypt'98. Springer-Verlag. 110-125 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Joe Suzuki: ""Learning Baysian Belief Networks Based on the MDL Principle : An Efficient Algorithm Using the Branch and Bound Technique"" IEICE Trans.on Information and Systems. Vol.82-D,No.2. (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Ryuichi Harasawa, Junji Shikata, Joe Suzuki, Hideki Imai: ""Comparing the MOV and FR Reductions in Elliptic Curve Cryptography"" Lecture Note on Computer Science (1592), Eurocrypt'99. Springer-Verlag. 189-204 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Boris Ryabko, Kouki Hojou, and Joe Suzuki: ""It is not enough to use stationary ergodic source for analyzing universal coding."" ISITA'98, Mexico City, Mexico. (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Joe Suzuki and Hidetoshi Yokoo: "Source Coding and Data Compression-Noiselss Coding-" (18pages, in Japanese), The Society of Information Theory and its Applications. Baihukan, (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Joe Suzuki: "A Further Result on the Narkor Chsim Model of GAA and thei Application to SA-like strategy" IEEE Trans on Systems,Man,and Cybernet.is. Vol.28,No.1. 95-102 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Joe Suzuki: "A Relashims hip between Context Tree Weighting and General Weighting techniques for Tree Sources" IEICE Trans on Fundomentals. Vol.81-A,No.10. 2412-2417 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Joe Suzuki: "Learnign Bayesian Belief Networks Based on the MDL Rinceple:An effisient algorithm using the branch and board techniques" IEICE Trans.on Information and Systems. Vol.82-D,No.2. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] Joseph Silverman and Joe Suzuki: "Elliptec Curre Discrete Loganchms and the Index Calculus" Lecture Note on Computer Science,Asia crypt'98. 1514. 110-125 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Harasawa,Shikata,Suzuki,Imai: "Comparing the MOD and FR reductions in Elliptic Curve Cryptography" Lecture Note on Computer Science,Eurocrypt'99. (to appear). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] Hojo,Ryabku,Suzuki: "It is not enough to use stationary ergodic soruce for analyzing universal coding" Int.Symposium on Information theory and its applications. (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 鈴木 譲,横尾英俊: "情報理論とその応用学会編,培風館" 情報源符号化とデータ圧縮-無歪みデータ圧縮(文筆), 18 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] Joe Suzuki: "“A Fur ther Resuli on the Markov Chain Model of GAs and its Application to SA-like Strategy"" IEEE Trans. on SMC. Vol.28 No.1. (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] Joe Suzuki: "“Universal Prediction and Universal Coding"" IEEE Int. Symp. on Inform. Theory. (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] Joe Suzuki: "“On the Error Probability of Model Selection on Clossification" IEEE Int. Symp. on Inform. Theory. (1998)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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