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Nonlinear Data Analysis with Algebraic Curve Fitting

Nonlinear Data Analysis with Algebraic Curve Fitting
使用代数曲线拟合的非线性数据分析
批准号:
09480048
负责人:
MIZUTA Masahiro
金额:
$7.55万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (B).
财政年份:
1997
资助国家:
日本
项目状态:
已结题
起止时间:
1997 至 2000

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中文摘要
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英文摘要
The aim of the research is to construct a series of methods for nonlinear data analysis. Data analysis methods with algebraic curve fitting are fundamental methods in the research. We had studied algebraic curve fitting at first. We developed an algorithm to derive the exact distance between a point and algebraic curve. A method for finding an algebraic curve structures in data is proposed. According to the progress of the research, we also study Generalized Principal Components Analysis and Principal Curves. For related data analysis methods, Sliced Inverse Regression, Functional Data Analysis and Principal Points are studied. Sliced Inverse Regression with Projection Pursuit is proposed and numerical examples show the advantages of the proposed method. A method of nonlinear functional regression analysis is developed.
期刊论文(174)
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会议论文
田中章,今井英幸,宮腰政明: "2次形式不等式制約を用いた射影フィルタによる画像復元"電子情報通信学会論文誌D-II. J82-D-II,3. 415-421 (1999)
Akira Tanaka、Hideyuki Imai、Masaaki Miyakoshi:“使用二次不等式约束的投影滤波器进行图像恢复”IEICE Transactions D-II,3. 415-421 (1999)
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Y.Sato: "An Autonomous Clustering Technique."Data Analysis, Classification and Related Methods, Springer. 23-28 (2000)
Y.Sato:“一种自主聚类技术”。数据分析、分类和相关方法,Springer。
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Y.Kudo, T.Murai, and T.Da-te: "A Possibilistic Interpretation of Extended Erasure."Proceedings of the Fifth European Congress on Intelligent Techniques and Soft Computing. 77-80 (1997)
Y.Kudo、T.Murai 和 T.Da-te:“扩展擦除的可能性解释”。第五届欧洲智能技术和软计算大会记录。
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M.Kawane, Y.Komiya, and M.Mizuta: "Cluster Analysis with Parallel Virtual Machine."Proceedings of the Tenth Japan and Korea Joint Conference of Statistics. 101-106 (2000)
M.Kawane、Y.Komiya 和 M.Mizuta:“并行虚拟机的集群分析”。第十届日本和韩国统计联合会议论文集。
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123
    Nonlinear Data Analysis for Functional Data
    • 批准号:
      14380122
    • 项目类别:
      Grant-in-Aid for Scientific Research (B)
    • 资助金额:
      $8.26万
    • 财政年份:
      2002
    • 负责人:
      MIZUTA Masahiro
    • 依托单位:
    海外基金