Title
Kernel-Based Regressors Equivalent to Stochastic Affine Estimators
Abstract
The solution of the ordinary kernel ridge regression, based on the squared loss function and the squared norm-based regularizer, can be easily interpreted as a stochastic linear estimator by considering the autocorrelation prior for an unknown true function. As is well known, a stochastic affine estimator is one of the simplest extensions of the stochastic linear estimator. However, its corresponding kernel regression problem is not revealed so far. In this paper, we give a formulation of the kernel regression problem, whose solution is reduced to a stochastic affine estimator, and also give interpretations of the formulation.
Year
DOI
Venue
2022
10.1587/transinf.2021EDP7156
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS
Keywords
DocType
Volume
kernel regression, autocorrelation prior, linear estimators, affine estimators, optimization criterion
Journal
E105D
Issue
ISSN
Citations 
1
1745-1361
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Akira Tanaka100.34
Masanari Nakamura202.03
Hideyuki Imai300.34