A Multikernel-Like Learning Algorithm Based on Data Probability Distribution
Joint Authors
Liu, Shuyu
Niu, Guo
Ma, Zhengming
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-23
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In the machine learning based on kernel tricks, people often put one variable of a kernel function on the given samples to produce the basic functions of a solution space of learning problem.
If the collection of the given samples deviates from the data distribution, the solution space spanned by these basic functions will also deviate from the real solution space of learning problem.
In this paper a multikernel-like learning algorithm based on data probability distribution (MKDPD) is proposed, in which the parameters of a kernel function are locally adjusted according to the data probability distribution, and thus produces different kernel functions.
These different kernel functions will generate different Reproducing Kernel Hilbert Spaces (RKHS).
The direct sum of the subspaces of these RKHS constitutes the solution space of learning problem.
Furthermore, based on the proposed MKDPD algorithm, a new algorithm for labeling new coming data is proposed, in which the basic functions are retrained according to the new coming data, while the coefficients of the retrained basic functions remained unchanged to label the new coming data.
The experimental results presented in this paper show the effectiveness of the proposed algorithms.
American Psychological Association (APA)
Niu, Guo& Ma, Zhengming& Liu, Shuyu. 2016. A Multikernel-Like Learning Algorithm Based on Data Probability Distribution. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1112375
Modern Language Association (MLA)
Niu, Guo…[et al.]. A Multikernel-Like Learning Algorithm Based on Data Probability Distribution. Mathematical Problems in Engineering No. 2016 (2016), pp.1-18.
https://search.emarefa.net/detail/BIM-1112375
American Medical Association (AMA)
Niu, Guo& Ma, Zhengming& Liu, Shuyu. A Multikernel-Like Learning Algorithm Based on Data Probability Distribution. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1112375
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112375