A comprehensive understanding for radial basis probabilistic neural networks'

被引:0
|
作者
Huang, DS [1 ]
Zhao, WB [1 ]
机构
[1] Chinese Acad Sci, Hefei Inst Intelligent Machines, Hefei 230031, Anhui, Peoples R China
关键词
radial basis function networks; probabilistic neural networks; radial basis probabilistic neural networks; independent; orthogonality;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper makes a profound analysis on radial basis probabilistic neural networks (RBPNN) from the viewpoint of linear algebra. Specifically, the transformation properties and internal representations of the RBPNN's are investigated in alliance with the properties of the input samples so that ones can understand and grasp the mechanisms for pattern classification and function approximation of the RBPNN's. In addition, we make an analysis on the convergent behaviours of the output class weight vectors of the RBPNN's, which can be showed to be orthogonal as well. Finally, one example for classifying five kinds of different distribution patterns are given to further support our understandings and claims.
引用
收藏
页码:1237 / 1242
页数:6
相关论文
共 50 条
  • [41] Generalised Gaussian radial basis function neural networks
    F. Fernández-Navarro
    C. Hervás-Martínez
    P. A. Gutierrez
    [J]. Soft Computing, 2013, 17 : 519 - 533
  • [42] On the storage capabilities of radial basis function neural networks
    George, Mary
    Kaimal, M. R.
    [J]. 2006 1ST INTERNATIONAL CONFERENCE ON DIGITAL INFORMATION MANAGEMENT, 2006, : 263 - +
  • [43] Human face recognition based on radial basis probabilistic neural network
    Guo, L
    Huang, DS
    [J]. PROCEEDINGS OF THE INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS 2003, VOLS 1-4, 2003, : 2208 - 2211
  • [44] Radial basis function based probabilistic neural network in arrhythmia classification
    Chen, Chongyang
    Cai, Ping
    Shi, Wenkang
    Guo, nengwu
    [J]. Shanghai Jiaotong Daxue Xuebao/Journal of Shanghai Jiaotong University, 2000, 34 (11): : 1475 - 1477
  • [45] Robust Face Recognition Using Radial Basis Probabilistic Neural Network
    Dhar, Mrinal Kanti
    Hussain, Md. Sanwar
    [J]. 2017 2ND INTERNATIONAL CONFERENCE ON ELECTRICAL & ELECTRONIC ENGINEERING (ICEEE), 2017,
  • [46] Radial basis probabilistic neural network for differential protection of power transformer
    Tripathy, M.
    Maheshwari, R. P.
    Verma, H. K.
    [J]. IET GENERATION TRANSMISSION & DISTRIBUTION, 2008, 2 (01) : 43 - 52
  • [47] Microseismic strength prediction based on radial basis probabilistic neural network
    Liu, Hui
    Cheng, Jiulong
    Zhang, Xiaojun
    Xu, Shaohua
    [J]. EUROPEAN JOURNAL OF REMOTE SENSING, 2020, 53 (53) : 154 - 165
  • [48] Application of recursive orthogonal least squares algorithms to training and the structure optimization of radial basis probabilistic neural networks
    Zhao, WB
    Huang, DS
    [J]. 2002 6TH INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING PROCEEDINGS, VOLS I AND II, 2002, : 1211 - 1214
  • [49] Structure Optimization Algorithm for Radial Basis Probabilistic Neural Networks Based on the Moving Median Center Hyperspheres Algorithm
    Du, Ji-Xiang
    Zhai, Chuan-Min
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2009, PT 3, PROCEEDINGS, 2009, 5553 : 136 - 143
  • [50] Learning Errors by Radial Basis Function Neural Networks and Regularization Networks
    Neruda, Roman
    Vidnerova, Petra
    [J]. INTERNATIONAL JOURNAL OF GRID AND DISTRIBUTED COMPUTING, 2009, 2 (01): : 49 - 57