Title
Minimum Message Length Ridge Regression for Generalized Linear Models
Abstract
This paper introduces an information theoretic model selection and ridge parameter estimation criterion for generalized linear models based on the minimum message length principle. The criterion is highly general in nature, and handles a range of target distributions, including the normal, binomial, Poisson, geometric and gamma distributions. Estimation of the regression parameters, the ridge hyperparameter and the set of covariates associated with the targets is all performed within the same framework by minimisation of the message length. Experiments on simulated and real data suggest that the criterion is competetive with, and often superior to, the corrected Akaike information criterion in terms of both parameter estimation and model selection tasks.
Year
DOI
Venue
2013
10.1007/978-3-319-03680-9_41
Australasian Conference on Artificial Intelligence
Field
DocType
Citations 
Minimum message length,Bayesian information criterion,Mathematical optimization,Akaike information criterion,Hyperparameter,Model selection,Algorithm,Generalized linear model,Fisher information,Gamma distribution,Mathematics
Conference
0
PageRank 
References 
Authors
0.34
4
2
Name
Order
Citations
PageRank
Daniel F. Schmidt15110.68
Enes Makalic25511.54