Geometric BIC

• KANATANI Kenichi

  Department of Computer Science, Okayama University

抄録

The “geometric AIC” and the “geometric MDL” have been proposed as model selection criteria for geometric fitting problems. These correspond to Akaike's “AIC” and Rissanen's “BIC” well known in the statistical estimation framework. Another well known criterion is Schwarz' “BIC”, but its counterpart for geometric fitting has not been known. 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. Our result gives a justification to the geometric MDL from the Bayesian principle.

収録刊行物

• IEICE Transactions on Information and Systems

  IEICE Transactions on Information and Systems E93-D (1), 144-151, 2010

  一般社団法人 電子情報通信学会

キーワード

• geometric model selection
• AIC
• BIC
• MDL
• Bayesian estimation
• degeneracy detection

詳細情報

• CRID: 1390282679355583488
• NII論文ID: 10026813286
• NII書誌ID: AA10826272
• DOI: 10.1587/transinf.e93.d.144
• ISSN: 17451361
• ISSN: 09168532
• Web Site: http://www.jstage.jst.go.jp/article/transinf/E93.D/1/E93.D_1_144/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可