Geometrical learning, descriptive geometry, and biomimetic pattern recognition
文献类型：期刊论文
| 作者 | Wang, SJ; Lai, JL |
| 刊名 | Neurocomputing
 |
| 出版日期 | 2005-08-01 |
| 卷号 | 67页码:9-28 |
| 关键词 | Information geometry High-dimensional descriptive geometry Biomimetic pattern recognition Geometry learning Rbf network Support vector machine |
| ISSN号 | 0925-2312 |
| DOI | 10.1016/j.neucom.2004.11.034 |
| 通讯作者 | Lai, jl() |
| 英文摘要 | Studies on learning problems from geometry perspective have attracted an ever increasing attention in machine learning, leaded by achievements on information geometry. this paper proposes a different geometrical learning from the perspective of high-dimensional descriptive geometry. geometrical properties of high-dimensional structures underlying a set of samples are learned via successive projections from the higher dimension to the lower dimension until two-dimensional euclidean plane, under guidance of the established properties and theorems in high-dimensional descriptive geometry. specifically, we introduce a hyper sausage like geometry shape for learning samples and provides a geometrical learning algorithm for specifying the hyper sausage shapes, which is then applied to biomimetic pattern recognition. experimental results are presented to show that the proposed approach outperforms three types of support vector machines with either a three degree polynomial kernel or a radial basis function kernel, especially in the cases of high-dimensional samples of a finite size. (c) 2005 elsevier b.v. all rights reserved. |
| WOS研究方向 | Computer Science |
| WOS类目 | Computer Science, Artificial Intelligence |
| 语种 | 英语 |
| WOS记录号 | WOS:000231436300002 |
| 出版者 | ELSEVIER SCIENCE BV |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2426336 |
| 专题 | 半导体研究所 |
| 通讯作者 | Lai, JL |
| 作者单位 | Chinese Acad Sci, Inst Semicond, Artificial Neural Networks Lab, Beijing 100083, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, SJ,Lai, JL. Geometrical learning, descriptive geometry, and biomimetic pattern recognition[J]. Neurocomputing,2005,67:9-28. |
| APA | Wang, SJ,&Lai, JL.(2005).Geometrical learning, descriptive geometry, and biomimetic pattern recognition.Neurocomputing,67,9-28. |
| MLA | Wang, SJ,et al."Geometrical learning, descriptive geometry, and biomimetic pattern recognition".Neurocomputing 67(2005):9-28. |
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来源：半导体研究所
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