Title
Approximate cross-validation formula for Bayesian linear regression
Abstract
Cross-validation (CV) is a technique for evaluating the ability of statistical models/learning systems based on a given data set. Despite its wide applicability, the rather heavy computational cost can prevent its use as the system size grows. To resolve this difficulty in the case of Bayesian linear regression, we develop a formula for evaluating the leave-one-out CV error approximately without actually performing CV. The usefulness of the developed formula is tested by statistical mechanical analysis for a synthetic model. This is confirmed by application to a real-world supernova data set as well.
Year
DOI
Venue
2016
10.1109/ALLERTON.2016.7852286
2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)
Keywords
DocType
Volume
cross-validation formula approximation,Bayesian linear regression,statistical models,learning systems,leave-one-out CV error,statistical mechanical analysis,synthetic model
Conference
abs/1610.07733
ISSN
ISBN
Citations 
2474-0195
978-1-5090-4551-8
0
PageRank 
References 
Authors
0.34
6
3
Name
Order
Citations
PageRank
Yoshiyuki Kabashima113627.83
Tomoyuki Obuchi2115.65
Makoto Uemura374.54