Title
Robust Weighted Gaussian Processes
Abstract
This paper presents robust weighted variants of batch and online standard Gaussian processes (GPs) to effectively reduce the negative impact of outliers in the corresponding GP models. This is done by introducing robust data weighers that rely on robust and quasi-robust weight functions that come from robust M-estimators. Our robust GPs are compared to various GP models on four datasets. It is shown that our batch and online robust weighted GPs are indeed robust to outliers, significantly outperforming the corresponding standard GPs and the recently proposed heteroscedastic GP method GPz. Our experiments also show that our methods are comparable to and sometimes better than a state-of-the-art robust GP that uses a Student-tlikelihood.
Year
DOI
Venue
2021
10.1007/s00180-020-01011-0
COMPUTATIONAL STATISTICS
Keywords
DocType
Volume
Machine learning, Online learning, Robust regression, Outlying data
Journal
36
Issue
ISSN
Citations 
1
0943-4062
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Ruben Ramirez-Padron151.80
Boris Mederos2767.23
Avelino J. Gonzalez320442.36