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1990 Fiscal Year Final Research Report Summary

Imaging from Interofermetric Data by Bayesian Modeling

Research Project

Project/Area Number 63540183
Research Category

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

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionThe Institute of Statistical Mathematics

Principal Investigator

ISHIGURO Makio  The Institute of Statistical Mathematics, Associate Professor, 予測制御研究系, 助教授 (10000217)

Co-Investigator(Kenkyū-buntansha) ISHIGURO Masato  National Astronomical Observatory, Professor, 電波天文学研究系, 教授 (40023684)
TANABE Kunio  The Institute of Statistical Mathematics, Professor, 予測制御研究系, 教授 (50000203)
KASHIWAGI Nobuhisa  The Institute of Statistical Mathematics, Assistant Professor, 調査実験解析研究系, 助手 (50150032)
Project Period (FY) 1988 – 1990
KeywordsInterferometric data / Information Criterion / WIC / AIC / Maximum likelihood method / Bayesian Modeling
Research Abstract

It was revealed that, with the present computing power of the Institute of Statistical Mathematics, it is difficult to carry out the data analysis realized by the strict application of the techniques based on Bayesian modeling and the maximum likelihood method.
Then, we decided to postpone the application of statistically most appropriate processing technique until a faster computer is available, and shifted our aim to the preparation of an information criterion to compare the results obtained by traditional standard image formation techniques and results which would be obtained once the difficulty about the computing cost would be overcame.
We got the idea of WIC, a new estimator-free information criterion. The study of WIC showed that performance of various model fitting methods can be compared with that of the maximum likelihood method. It is also found that with the use of WIC, it is possible to realize the optimum adjustment of parameters of traditional data processing methods, and consequently enable to obtain statistically reliable results.
The situations in which WIC was tested and proved effective were as follows :
1. Choice of explanatory variables of CATDAP model. CATDAP model is standard model for the contingency table data analysis.
2. Order selection of AR model. AR model is a standard model for the time series data analysis.
3. Order selection of the polynomial regression model, and the choice of the penalty weight of penalized least squares method. It is shown that the results by the polynomial fitting method and the results by the penalized least squares method can be compared on the same base.
4. Control of CLEAN method of image formation. We can choose the optimal iteration count of the CLEAN method by minimizing WIC value.

  • Research Products

    (7 results)

All Other

All Publications (7 results)

  • [Publications] Ishiguro M.,Sakamoto Y.: "WIC:An EstimatorーFree Information Criterion" Anads of The Institute of Statistical Mathematirs.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 石黒 真木夫: "電波望遠鏡デ-タ解析" 統計数理. 38. (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Ishguro M.,Morita K.,Ishiguro M.: "Application of an EstimatorーFreeInformation Criterion(WIC)to Aperture Synthesis Imaging." Proc,IAU Colloquium 131.(1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Ishiguro M.,Akaike H.: "DALL:Davidois Algorithm for Log Litcelihood MaximizationーA FORTRAN subroutine for Statistical Model BuitdersーComputer Science Monographs No25" The Iustitute of Statistical Mathematies,

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Ishiguro, M. & Sakamoto, Y: "WIC : An Estimator-Free Information Criterion" Annals of the Institute of Statistical Mathematics.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Ishiguro, M: "Interfermetric data analysis" Proceedings of the Institute of Statistical Mathematics. Vol. 38. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Ishiguro, M. Morita, K-I. & Ishiguro, M: "Application of an Estimator-Free Information Criterion (WIC) to Aperture Synthesis Imaging" Profeedings of IAU Colloquium. 131. (1990)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1993-08-12  

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