Piecewise nonlinear regression via decision adaptive trees
European Signal Processing Conference
European Signal Processing Conference, EUSIPCO
1188 - 1192
Item Usage Stats
MetadataShow full item record
We investigate the problem of adaptive nonlinear regression and introduce tree based piecewise linear regression algorithms that are highly efficient and provide significantly improved performance with guaranteed upper bounds in an individual sequence manner. We partition the regressor space using hyperplanes in a nested structure according to the notion of a tree. In this manner, we introduce an adaptive nonlinear regression algorithm that not only adapts the regressor of each partition but also learns the complete tree structure with a computational complexity only polynomial in the number of nodes of the tree. Our algorithm is constructed to directly minimize the final regression error without introducing any ad-hoc parameters. Moreover, our method can be readily incorporated with any tree construction method as demonstrated in the paper. © 2014 EURASIP.
nonlinear adaptive filtering
Piecewise linear techniques
Nonlinear adaptive filtering
Piecewise linear regression
Showing items related by title, author, creator and subject.
Ergen, T.; Kozat, S. S. (Institute of Electrical and Electronics Engineers Inc., 2017)In this paper, we study the nonlinear regression problem in a network of nodes and introduce long short term memory (LSTM) based algorithms. In order to learn the parameters of the LSTM architecture in an online manner, ...
Denizcan Vanli, N.; Kozat, S.S. (IEEE Computer Society, 2014)In this paper, we consider the problem of sequential nonlinear regression and introduce an efficient learning algorithm using context trees. Specifically, the regressor space is partitioned and the resulting regions are ...
Vanli, N. D.; Kozat, S. S. (IEEE, 2014)In this paper, we investigate adaptive nonlinear regression and introduce tree based piecewise linear regression algorithms that are highly efficient and provide significantly improved performance with guaranteed upper ...