| Title:
|
Construction of nonlinear discrimination function based on the MDL criterion (English) |
| Author:
|
Sato, Manabu |
| Author:
|
Kudo, Mineichi |
| Author:
|
Toyama, Jun |
| Author:
|
Shimbo, Masaru |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
34 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
[467]-472 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Although a nonlinear discrimination function may be superior to linear or quadratic classifiers, it is difficult to construct such a function. In this paper, we propose a method to construct a nonlinear discrimination function using Legendre polynomials. The selection of an optimal set of Legendre polynomials is determined by the MDL (Minimum Description Length) criterion. Results using many real data show the effectiveness of this method. (English) |
| Keyword:
|
nonlinear discrimination function |
| Keyword:
|
Legendre polynomials |
| MSC:
|
62H25 |
| MSC:
|
62H30 |
| MSC:
|
68T05 |
| idZBL:
|
Zbl 1274.68348 |
| . |
| Date available:
|
2009-09-24T19:19:20Z |
| Last updated:
|
2015-03-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135233 |
| . |
| Reference:
|
[2] Murphy P. M., Aha D. W.: UCI Repository of Machine Learning Databases [Machine–Readable Data Repository].University of California, Department of Information and Computer Science, Irvine 1991 |
| Reference:
|
[3] Rissanen J.: A universal prior for integers and estimation by minimum description length.Ann. Statist. 11 (1983), 416–431 Zbl 0513.62005, MR 0696056, 10.1214/aos/1176346150 |
| Reference:
|
[4] Stone M.: Cross–Validatory choice and assessment of statistical predictions.J. Roy. Statist. Soc. 36 (1974), 111–147 Zbl 0308.62063, MR 0356377 |
| . |
