Geometric BIC
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Information Vol.E93-D No.1 pp.144-151
- Publication Date
- 2010/01/01
- Publicized
- Online ISSN
- 1745-1361
- DOI
- 10.1587/transinf.E93.D.144
- Type of Manuscript
- PAPER
- Category
- Image Recognition, Computer Vision
Authors
Keyword
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Kenichi KANATANI, "Geometric BIC" in IEICE TRANSACTIONS on Information,
vol. E93-D, no. 1, pp. 144-151, January 2010, doi: 10.1587/transinf.E93.D.144.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/information/10.1587/transinf.E93.D.144/_p
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@ARTICLE{e93-d_1_144,
author={Kenichi KANATANI, },
journal={IEICE TRANSACTIONS on Information},
title={Geometric BIC},
year={2010},
volume={E93-D},
number={1},
pages={144-151},
abstract={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.},
keywords={},
doi={10.1587/transinf.E93.D.144},
ISSN={1745-1361},
month={January},}
Copy
TY - JOUR
TI - Geometric BIC
T2 - IEICE TRANSACTIONS on Information
SP - 144
EP - 151
AU - Kenichi KANATANI
PY - 2010
DO - 10.1587/transinf.E93.D.144
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E93-D
IS - 1
JA - IEICE TRANSACTIONS on Information
Y1 - January 2010
AB - 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.
ER -
English
