Title
COBRA: A combined regression strategy.
Abstract
A new method for combining several initial estimators of the regression function is introduced. Instead of building a linear or convex optimized combination over a collection of basic estimators r1,…,rM, we use them as a collective indicator of the proximity between the training data and a test observation. This local distance approach is model-free and very fast. More specifically, the resulting nonparametric/nonlinear combined estimator is shown to perform asymptotically at least as well in the L2 sense as the best combination of the basic estimators in the collective. A companion R package called COBRA (standing for COmBined Regression Alternative) is presented (downloadable on http://cran.r-project.org/web/packages/COBRA/index.html). Substantial numerical evidence is provided on both synthetic and real data sets to assess the excellent performance and velocity of our method in a large variety of prediction problems.
Year
DOI
Venue
2016
10.1016/j.jmva.2015.04.007
Journal of Multivariate Analysis
Keywords
DocType
Volume
62G05,62G20
Journal
146
ISSN
Citations 
PageRank 
0047-259X
3
0.60
References 
Authors
2
4
Name
Order
Citations
PageRank
Gérard Biau125624.07
Aurélie Fischer230.60
Benjamin Guedj398.82
James D. Malley411814.43