最小球覆盖几何算法及其在模式识别中的应用

Abstract
Figure/Table
References
Related Citation (15)

Download: PDF (548 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract With the definition of HyperChord Angle a geometrical algorithm of highdimensional minimum covering ball is proposed in this paper. Combining with RBF neuron and priority order neural network, the geometrical algorithm of highdimensional minimum covering ball is applied in sample classification efficiently. The definition of HyperChord Angle also provides a new way to research other problems in highdimensional space.

Key words： Minimum Covering Ball HighDimensional Geometry Pattern Recognition Priority Order Neural Network

Received: 28 May 2004

ZTFLH:

TP183

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	LAI JiangLiang
	WANG ShouJue

Cite this article:

LAI JiangLiang,WANG ShouJue. An Geometrical Algorithm for Minimum Covering Sphere and Application in Pattern Recognition[J]. , 2006, 19(2): 271-276.

URL:

http://manu46.magtech.com.cn/Jweb_prai/EN/ OR http://manu46.magtech.com.cn/Jweb_prai/EN/Y2006/V19/I2/271

[1] Wang S J. Priority Ordered Neural Networks with Better Similarity to Human Knowledge Representation. Chinese Journal of Electronics, 1999, 8(1): 1-4
[2] Wang S J. Biomimetics Pattern Recognition. Neural Networks Society (INNS, ENNS, JNNS) Newsletter, 2003, 1(1): 3-5
[3] Wang S J, Wang B N. Analysis and Theory of High-Dimension Space Geometry for Artificial Neural Networks. Acta Electronica Sinica, 2002, 30(1): 1-4 (in Chinese)
(王守觉,王柏南.人工神经网络的多维空间几何分析及其理论.电子学报, 2002, 30(1): 1-4)
[4] Wang S J, Chen X D, Zeng Y J, Wang X D, Wang S J. General Feed-Forwerd Network and Sequential Learning Ahead Masking Model for Pattern Classification. Acta Electronica Sinica, 1998, 26(8): 1-6 (in Chinese)
(王守觉,陈向东,曾玉娟,王向东,王戍靖.通用前馈网络及排序学习前向掩蔽模型在模式识别中的应用.电子学报, 1998, 26(8): 1-6)
[5] Sylvester J J. On Poncelot’s Approximate Linear Valuation of Surd Forms. Philosophical Magazine, 1860, 20(4): 203-222
[6] Hopp T H, Reeve C P. An Algorithm for Computing the Minimum Covering Sphere in Any Dimension. Technical Report, NISTIR 5831, National Institute of Standards and Technology, Gaithersburg, USA, 1996
[7] Zhang L, Zhang B, Yin H F. An Alternative Covering Design Algorithm of Multi-Layer Neural Networks. Journal of Software, 1999, 10(7): 737-742 (in Chinese)
(张铃,张钹,殷海风.多层前向网络的交叉覆盖设计算法.软件学报, 1999, 10(7): 737-742)

[1]	SHAN Dong, XU Xinzheng. Multi-label Learning Model Based on Multi-label Radial Basis Function Neural Network and Regularized Extreme Learning Machine[J]. , 2017, 30(9): 833-840.