Presentation 2012-11-08
An Ordinal Regression Model Based on Logistic Regression Models and Its Fast Sparse Bayesian Learning
Kazuhisa NAGASHIMA, Masato INOUE,
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Abstract(in English) The common solution to the ordinal regression problem uses the model in which noise-contained inputs are deterministically labeled according to domains partitioned by several thresholds. Its likelihood is given by the product of the differences of probit functions and this likelihood prevents common analytical approaches such as differentiation of the log likelihood. In this manuscript, we introduce a model in which noise-free inputs are probabilistically labeled. More specifically, this model is constructed by using logistic regression models. We found that this model is easy to analyze. We also show that its 'fast' sparse Bayesian learning with automatic relevance determination (ARD) prior is possible.
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Keyword(in English) Ordinal Regression / Logistic Regression / Basis Function / Sparse Bayesian Learning
Paper # IBISML2012-87
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Committee IBISML
Conference Date 2012/10/31(1days)
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Registration To Information-Based Induction Sciences and Machine Learning (IBISML)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Ordinal Regression Model Based on Logistic Regression Models and Its Fast Sparse Bayesian Learning
Sub Title (in English)
Keyword(1) Ordinal Regression
Keyword(2) Logistic Regression
Keyword(3) Basis Function
Keyword(4) Sparse Bayesian Learning
1st Author's Name Kazuhisa NAGASHIMA
1st Author's Affiliation Department of Electrical Engineering and Bioscience, Graduate School of Advanced Science and Engineering, Waseda University()
2nd Author's Name Masato INOUE
2nd Author's Affiliation Department of Electrical Engineering and Bioscience, Graduate School of Advanced Science and Engineering, Waseda University
Date 2012-11-08
Paper # IBISML2012-87
Volume (vol) vol.112
Number (no) 279
Page pp.pp.-
#Pages 5
Date of Issue