2024-03-29T07:30:33Z
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2022-04-27T08:55:58Z
152:2529
3:62:5298:2526
Entropy-based sliced inverse regression
日野, 英逸
Hino, Hideitsu
Wakayama, Keigo
Murata, Noboru
© 2013 Elsevier B.V. “NOTICE: this is the author’s version of a work that was accepted for publication in Computational statistics & data analysis. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computational statistics & data analysis,67,2013 http://dx.doi.org/10.1016/j.csda.2013.05.017.
The importance of dimension reduction has been increasing according to the growth of the size of available data in many fields. An appropriate dimension reduction method of raw data helps to reduce computational time and to expose the intrinsic structure of complex data. Sliced inverse regression is a well-known dimension reduction method for regression, which assumes an elliptical distribution for the explanatory variable, and ingeniously reduces the problem of dimension reduction to a simple eigenvalue problem. Sliced inverse regression is based on the strong assumptions on the data distribution and the form of regression function, and there are a number of methods to relax or remove these assumptions to extend the applicability of the inverse regression method. However, each method is known to have its drawbacks either theoretically or empirically. To alleviate drawbacks in the existing methods, a dimension reduction method for regression based on the notion of conditional entropy minimization is proposed. Using entropy as a measure of dispersion of data, a low dimensional subspace is estimated without assuming any specific distribution nor any regression function. The proposed method is shown to perform comparable or superior to the conventional methods through experiments using artificial and real-world datasets.
Elsevier B.V.
2013-11
eng
journal article
http://hdl.handle.net/2241/119790
https://tsukuba.repo.nii.ac.jp/records/29404
10.1016/j.csda.2013.05.017
0167-9473
AA10002391
Computational statistics & data analysis
67
105
114
https://tsukuba.repo.nii.ac.jp/record/29404/files/CSDA_67.pdf
application/pdf
727.5 kB
2014-05-09