A Two-Phase RBF-ELM Learning Algorithm

A variant of extreme learning machine (ELM) named RBF-ELM was proposed by Huang et al. in 2004. The RBF-ELM is tailored for radial basis function (RBF) networks. Similar to ELM, RBF-ELM also employs randomized method to initialize the centers and widths of RBF kernels, and analytically calculate the output weights of RBF networks. In this paper, we proposed a two-phase RBF-ELM learning algorithm, which only randomly initializes the width parameters. The center parameters are determined by an instance selection method. The first phase of the proposed algorithm is to select the centers of the RBF network rather than randomly initializing. The second phase is to train the RBF network with ELM. Compared with the RBF-ELM, the experimental results show that the proposed algorithm can improve the testing accuracy.

[1]  Hongming Zhou,et al.  Extreme Learning Machine for Regression and Multiclass Classification , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[2]  Narasimhan Sundararajan,et al.  A Fast and Accurate Online Sequential Learning Algorithm for Feedforward Networks , 2006, IEEE Transactions on Neural Networks.

[3]  Chee Kheong Siew,et al.  Extreme learning machine: Theory and applications , 2006, Neurocomputing.

[4]  D. Serre Matrices: Theory and Applications , 2002 .

[5]  Yuan Lan,et al.  Constructive hidden nodes selection of extreme learning machine for regression , 2010, Neurocomputing.

[6]  C. A. Murthy,et al.  Density-Based Multiscale Data Condensation , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  Robert K. L. Gay,et al.  Error Minimized Extreme Learning Machine With Growth of Hidden Nodes and Incremental Learning , 2009, IEEE Transactions on Neural Networks.

[8]  Chee Kheong Siew,et al.  Incremental extreme learning machine with fully complex hidden nodes , 2008, Neurocomputing.

[9]  Dianhui Wang,et al.  Extreme learning machines: a survey , 2011, Int. J. Mach. Learn. Cybern..

[10]  Zexuan Zhu,et al.  A fast pruned-extreme learning machine for classification problem , 2008, Neurocomputing.

[11]  Amaury Lendasse,et al.  OP-ELM: Optimally Pruned Extreme Learning Machine , 2010, IEEE Transactions on Neural Networks.

[12]  Narasimhan Sundararajan,et al.  Fully complex extreme learning machine , 2005, Neurocomputing.

[13]  Chee Kheong Siew,et al.  Universal Approximation using Incremental Constructive Feedforward Networks with Random Hidden Nodes , 2006, IEEE Transactions on Neural Networks.

[14]  Guang-Bin Huang,et al.  Extreme learning machine: a new learning scheme of feedforward neural networks , 2004, 2004 IEEE International Joint Conference on Neural Networks (IEEE Cat. No.04CH37541).

[15]  Chee Kheong Siew,et al.  Extreme learning machine: RBF network case , 2004, ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004..