Presentation 2020-05-29
On MDL Estimation for Location Parameters of Contaminated Gaussian Distributions
Kohei Miyamoto, Jun'ichi Takeuchi,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) The MDL estimator is defined by the minimizer of total code length of a two part code. The smaller the redundancy of the two part code which defines the MDL estimator is, the smaller upper bound of the risk of the MDL estimator is obtained. When the true density belongs to an known exponential family, a way of construction of a two part code with small redundancy is known. However, for non-exponential families, we need to improve the two part code under some assumptions. In this paper, we discuss this problem for Huber’s contamination models, which are an example of non-exponential families.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) MDL principle / MDL estimator / contamination model
Paper # IT2020-10,EMM2020-10
Date of Issue 2020-05-21 (IT, EMM)

Conference Information
Committee IT / EMM
Conference Date 2020/5/28(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English) Information Security, Information Theory, Information Hiding, etc.
Chair Jun Muramatsu(NTT) / Masaki Kawamura(Yamaguchi Univ.)
Vice Chair Tadashi Wadayama(Nagoya Inst. of Tech.) / Motoi Iwata(Osaka Prefecture Univ.) / Tetsuya Kojima(NIT,Tokyo College)
Secretary Tadashi Wadayama(Saga Univ.) / Motoi Iwata(Senshu University) / Tetsuya Kojima(NIT, Nagano College)
Assistant Hideki Yagi(UEC) / Masaki Inamura(Tokyo Denki Univ.) / Kazuhiro Kono(Kansai Univ.)

Paper Information
Registration To Technical Committee on Information Theory / Technical Committee on Enriched MultiMedia
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On MDL Estimation for Location Parameters of Contaminated Gaussian Distributions
Sub Title (in English)
Keyword(1) MDL principle
Keyword(2) MDL estimator
Keyword(3) contamination model
1st Author's Name Kohei Miyamoto
1st Author's Affiliation Kyushu University(Kyushu Univ.)
2nd Author's Name Jun'ichi Takeuchi
2nd Author's Affiliation Kyushu University(Kyushu Univ.)
Date 2020-05-29
Paper # IT2020-10,EMM2020-10
Volume (vol) vol.120
Number (no) IT-43,EMM-42
Page pp.pp.55-60(IT), pp.55-60(EMM),
#Pages 6
Date of Issue 2020-05-21 (IT, EMM)