Geometric BIC

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Abstract

The author introduced the "geometric AIC" and the "geometric MDL" as model selection criteria for geometric fitting problems. These correspond to Akaike's "AIC" and Rissanen's "BIC", respectively, well known in the statistical estimation framework. Another criterion wellknown is Schwarz' "BIC", but its counterpart for geometric fitting has been unknown. This paper introduces the corresponding criterion, which we call the "geometric BIC", and shows that it is of the same form as the geometric MDL. We present the underlying logical reasoning of Bayesian estimation.

Journal

  • Memoirs of the Faculty of Engineering, Okayama University

    Memoirs of the Faculty of Engineering, Okayama University 42(1), 10-17, 2008-01

    Faculty of Engineering, Okayama University

Codes

  • NII Article ID (NAID)
    120002308447
  • NII NACSIS-CAT ID (NCID)
    AA10699856
  • Text Lang
    ENG
  • Article Type
    departmental bulletin paper
  • ISSN
    0475-0071
  • Data Source
    IR 
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