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Fusion of Statistics, Neural-Net, Machine Learning

Research Project

Project/Area Number 13480071
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionThe Institute of Statistical Mathematics

Principal Investigator

EGUCHI Shinto  Inst.Statistical Mathematics, Dept.of Fundamental Statistical Theory, Professor, 統計基礎研究系, 教授 (10168776)

Co-Investigator(Kenkyū-buntansha) KANAMORI Takafumi  Tokyo Institute of Technology, Graduate School of Information Science and Engineering, Assistant Professor, 大学院・数理・計算科学専攻, 助手 (60334546)
FUJISAWA Hironori  The Institute of Statistical Mathematics, Dept.of Interdisciplinary Statistics, Associate Professor, 領域統計研究系, 助教授 (00301177)
MINAMI Mihoko  The Institute of Statistical Mathematics, Dept.of Fundamental Statistical Theory, Associate Professor, 統計基礎研究系, 助教授 (70277268)
MATSUURA Masaaki  Japanese Foundation for Cancer Research, Chief Directer, ゲノムセンター, 部門長 (40173794)
MURATA Noboru  Waseda University, Dept.of Electrical Engineering and Bioscience, Associate Professor, 理工学部, 助教授 (60242038)
甘利 俊一  理化学研究所, 脳科学総合センター, グループディレクター (80010726)
栗木 哲  統計数理研究所, 統計基礎研究系, 助教授 (90195545)
福水 健次  統計数理研究所, 統計基礎研究系, 助教授 (60311362)
汪 金芳  帯広畜産大学, 畜産管理学科, 助教授 (10270414)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥10,100,000 (Direct Cost: ¥10,100,000)
Fiscal Year 2003: ¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2002: ¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 2001: ¥3,600,000 (Direct Cost: ¥3,600,000)
Keywordsbioinformatics / SNP haplotyping / gene expression data / AdaBoost / independent component analysis / self-organizing PCA / Proteome / functional data analysis / 統計学 / DNAマイクロアレイ / 機械学習 / 統計推理 / SNPデータ / ブースティング / ロバスト / ニューラルネット / 統計推測 / モデル特異性 / 独立成分解析
Research Abstract

1.Challenging bioinformatics
Our research group results to succeed the project for SNP (Single Nucleotide Polymorphism) typing with co-operative work with the genome center in Research Institute of Cancer Study. The paper has published in the journal of 'Bioinformatics' in 2004 and the portion of the work has applied to Japan Patent Office. Presently the next project of SNP haplotype blocking is promising and will attain the result in a near future.
In this research collaboration we have a monthly research meeting, in which the investigation for proteome date is now made a rapid progress. In November, 2003 Professor P.K. Sen at North Carolina State University gave a lecture on bioinformatics and nonparametric method, which was organized by our research group.
2.Statistical theory and Boost algorithm
In these three years a monthly research meeting has been organized on Saturday in which Dr Murata, Dr Kanainori, Dr Takenouchi and Dr Eguchi has establish statistical understanding and several variants alternative to AdaBoost. Their two papers has published in a journal of 'Neural Computation' in 2004.
3.Independent component analysis and principal component analysis
The fourth International conference on ICA had held at Nara Conference center in 2003, in which Dr Murata, Dr Minami and Dr Eguchi worked as organizing committee. The work on self-organizing PCA has published in J.Machine Learning Research.

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (36 results)

All Other

All Publications (36 results)

  • [Publications] Murata, N., Takenouchi, T., Kanamori, T., Eguchi, S.: "Information geometry of U-Boost and Bregman divergence."Neural Computation. 16. 1437-1481 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Fujisawa, S.Eguchi, M.Ushijima, S.Miyata, Y.Miki, T.Muto, M.Matsuura: "Genotyping of single nucleotide polymorphism using model-based clustering."Bioinformatics. 20. 718-726 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Takenouchi, S.Eguchi: "Robustifying AdaBoost by adding the naive error rate."Neural Computation. 16. 767-787 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Minami, S.Eguchi: "Robust blind source separation by beta-divergence."Neural Computation. 14. 1859-1886 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Eguchi, J.Copas: "A class of logistic-type discriminant functions."Biometrika. 89. 1-22 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Murata, N., Takenouchi, T., Kanamori, T., Eguchi, S.: "Information geometry of U-Boost and Bregman divergence."Neural Computation. 16. 1437-1481 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Fujisawa, S.Eguchi, M.Ushijima, S.Miyata, Y.Miki, T.Muto, M.Matsuura: "Genotyping of single nucleotide polymorphism using model-based clustering."Bioinformatics. 20. 718-726 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Takenouchi, S.Eguchi: "Robustifying AdaBoost by adding the naive error rate."Neural Computation. 16. 767-787 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Minami, S.Eguchi: "Robust blind source separation by beta-divergence."Neural Computation. 14. 1859-1886 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Eguchi, J.Copas: "A class of logistic-type discriminant functions."Biometrika. 89. 1-22 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Henmi, M., Eguchi, S.: "A paradox concerning nuisance parameters and projected estimating functions."Biometrika. to appear. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Murata, N., Takenouchi, T., Kanamori, T., Eguchi, S.: "Information geometry of U-Boost and Bregman divergence."Neural Computation. to appear. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] S.Eguchi, M.Ushijima, S.Miyata, Y.Miki, T.Muto, M.Matsuura.: "Genotyping of single nucleotide polymorphism using model-based clustering."Bioinformatics. to appear. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Takenouchi, S.Eguchi.: "Robustifying AdaBoost by adding the naive error rate."Neural Computation. 15. 767-787 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Jianting Cao, Noboru Murata, Shun-ichi Amari, Andrzej Cichocki, Tsunehiro Takeda.: "A Robust Approach to Independent Component Analysis of Signals With High-Level Noise Measurements."EEE Transactions on Neural Networks. 14(3). 631-645 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] S.Eguchi, T-Y.Kim, B.Park.: "Local likelihood method and thoery for a bridge between parametric and onparametric regression."J.Nonparametric Statistics. to appear. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Minami, M: "Robust Blind Source Separation by beta-Divergence"Neural Computation. Vol.14. 1859-1886 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Eguchi, S: "A Class of Logistic-type Discriminant Functions"Biometrika. Vol.89. 1-22 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Fujisawa, H: "Asymptotic properties of conditional maximum likelihood estimator in a certain exponential model"J. Multivariate Anal.. (to appear). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Fujisawa, H: "On usefulness of maximun likelihood estimator using incomplete data"Measurements and Multivariate Analysis(Springer). 227-232 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Kanamori, T: "Statistical Asymptotic Theory of Active Learning"Ann. Inst. Statist. Math.. Vol.54,No.3. 459-475 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Kanamori, T: "A New Sequential Algorithm for Regression Problems by using Mixture Distribution, In ICANN'02"Lecture Notes in Computer Science(Springer). (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Minami, S.Eguchi: "Robust Blind Source Separation by beta-Divergence"Neural Computation. (to appear). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Eguchi, J.B.Copas: "A Class of Logistictype Discriminant Functions"Biometrika. (to appear). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] J.B.Copas, S.Eguchi: "Local Sensitivity Approximation for Selectivity Bias"Journal of Royal Statistical Society B,. 63. 871-895 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Kamiya, S.Eguchi: "A class of robust principal component vectors"Journal of Multivariate Analysis. 77. 239-269 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Chen, S.Amari, N.Murata: "Sequential Extraction of Minor Components"Neural Processing Letters. 13. 195-201 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Nakahara, S.Wu, S.Amari: "Attention Modulation of Neural Tuning Through Peak and Base Rate"Neural Computation. 13. 2031-2047 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Amari: "Information Geometry on Hierarchy of Probability Distributions"IEEE Transactions on Information Theory. Vol.47, No.5. 1701-1711 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Satoshi Kuriki, Akimichi Takemura: "Tail probabilities of the maxima of multilinear forms and their applications"The Annals of Statistics. Vol.29, No.2. 328-371 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Satoshi Kuriki, Hidetoshi Shimo daira, Anthony J. Hayter: "The isotonic range statistic for testing against an ordered alternative"Journal of Statistical Planning and Inference, to appear. (to appear). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Fukumizu: "Geometry of neural networks : Natural gradient for learning"Handbook of Biological Physics, vol.4 : Neuro-informatics and Neural Modelling.. 731-769 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Fukumizu: "Geometry of Neural Networks and Models with SIngularities"AIP Conference Proceedings 553 DISORDERED AND COMPLEX SYSTEMS. 553. 117-122 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Fukumizu: "Asymptotic Theory of Locally Conic Models and its Application to Multilayer Neural Networks."KnowledgeBased Intelligent Information Engineering Systems & Allied Technologies (KES'2001). 1570-1574 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Jinfang Wang: "Statistical Disclosure Control Based on Random Uncertainty Intervals"Enabling Society with Information Technology. 244-255 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Eguchi, J.B.Copas: "Recent Developments in Discriminant Analysis from an Information Geometric Point of View"ournal of Korean Statistical Society (The special issue of the 30th aniversary of the Korean Statist. Soc). 30. 247-264 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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