Median Radial Basis Functions Neural Network

Median Radial Basis Functions Neural Network (1996)

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by Adrian G. Bors , Ioannis Pitas

Venue:	IEEE Trans. on Neural Networks
Citations:	23 - 14 self

BibTeX

@ARTICLE{Bors96medianradial,
    author = {Adrian G. Bors and Ioannis Pitas},
    title = {Median Radial Basis Functions Neural Network},
    journal = {IEEE Trans. on Neural Networks},
    year = {1996},
    volume = {7},
    pages = {1351--1364}
}

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Abstract

Radial Basis Functions (RBF) consists of a two-layer neural network, where each hidden unit implements a kernel function. Each kernel is associated with an activation region from the input space and its output is fed to an output unit. In order to find the parameters of a neural network which embeds this structure we take into consideration two different statistical approaches. The first approach uses classical estimation in the learning stage and it is based on the learning vector quantization algorithm and its second order statistics extension. After the presentation of this approach, we introduce the Median Radial Basis Functions (MRBF) algorithm based on robust estimation of the hidden unit parameters. The proposed algorithm employs the marginal median for kernel location estimation and the median of the absolute deviations for the scale parameter estimation. A histogram-based fast implementation is provided for the MRBF algorithm. The theoretical performance of the two training al...

Citations

2726	The self-organizing map - Kohonen - 1990
1530	Introduction to the theory of neural computation - Hertz, Krogh - 1991
1300	Vector Quantization and Signal Compression - Gersho, Gray - 1991
1158	Self-organization and associative memory - Kohonen - 1984
586	Random Variables, and Stochastic Processes - Papoulis, Probability - 1984
570	Networks for approximation and learning - Poggio, Girosi - 1990
480	On estimation of a probability density function and mode - Parzen - 1962
421	Fast learning in networks of locally-tuned processing units - Moody, Darken - 1989
357	Multivariable functional interpolation and adaptive networks,Complex - Lowe
210	Orthogonal least squares learning algorithm for radial basis function networks,IEE Trans Neural Networks,2:302-309(1991 - Chen, CFN, et al.
174	Multivariate Observations - Seber - 1984
143	Pattern Recognition. Statistical, Structural and Neural Approaches - Schalkoff - 1992
142	A resource-allocating network for function interpolation - Platt - 1991
125	Gaussian Networks for Direct Adaptive Control - Sanner, Slotine - 1992
113	A General Regression Neural Network - Specht - 1991
109	Nonlinear Digital Filters Principles and Applications - Pitas, Venetsanopoulos - 1990
84	Universal Approximation using radial basis functions network - Park, Sandberg - 1991
82	Rival Penalized Competitive Learning for Clustering Analysis, RBF Net, and Curve Detection - Xu, ˙zak, et al. - 1993
73	Layered Neural Networks with Gaussian Hidden Units as - Hartman, Keeler, et al. - 1990
66	A fast two-dimensional median filtering algorithm - Huang, Yang, et al. - 1979
59	On the training of radial basis function classifiers. Neural Networks - Musavi, Ahmed, et al. - 1992
57	A clustering technique for digital communications channel equalization using radial basis function network - Chen, Mulgrew, et al. - 1993
54	Digital pictures. Representation and compression - Netravali, Haskell - 1988
32	A Gaussian potential function network with hierarchically selforganizing learning - Sukhan, Kil - 1991
29	Competitive learning and soft competition for vector quantizer design - Yair, Zeger, et al. - 1992
25	Probabilistic neural network and the polynomial adaline as complementary techniques for classification - Specht - 1990
16	Minimal topology for a radial basis functions neural network for pattern classification - Bors, Gabbouj - 1994
14	Order statistics learning vector quantizer - Pitas, Kotropoulos, et al. - 1996
12	Overcoming co-channel interference using an adaptive radial basis function equaliser - Chen, Mulgrew - 1992
10	Motion estimation via cluster matching - Kottke, Sun - 1994
6	Median learning vector quantizer - Pitas, Kiniklis - 1994
6	Motionfield segmentation using an adaptive MAP criterion - Chang, Tekalp, et al. - 1993
4	Robust estimation of radial basis functions - Bor, Pitas - 1994
4	Median radial basis functions network for optical flow processing - Bor, Pitas - 1995
3	Trav'en, "A neural network approach to statistical pattern classification by "semiparametric" estimation of probability density functions - C - 1991