Nonlinear Curve Fitting Using Extreme Learning Machines and Radial Basis Function Networks

Fast neural network techniques—extreme learning machine and radial basis function networks—are used to solve the traditional curve fitting problems, where the localized effect of a network basis function is corrected by introducing a linear neuron. Numerical experiments demonstrate that the neural-based method is accurate and well-suited for fitting large volume of data.

[1]  Chao Wang,et al.  Variational Bayesian extreme learning machine , 2014, Neural Computing and Applications.

[2]  J. Friedman,et al.  FLEXIBLE PARSIMONIOUS SMOOTHING AND ADDITIVE MODELING , 1989 .

[3]  A. Marshall,et al.  Effect of signal-to-noise radio and number of data points upon precision in measurement of peak amplitude, position and width in Fourier transform spectrometry , 1986 .

[4]  Zhigeng Pan,et al.  Extreme Learning Machine-Based Deep Model for Human Activity Recognition With Wearable Sensors , 2019, Computing in Science & Engineering.

[5]  Min Han,et al.  Partial Lanczos extreme learning machine for single-output regression problems , 2009, Neurocomputing.

[6]  T. Poggio,et al.  Networks and the best approximation property , 1990, Biological Cybernetics.

[7]  Adrian F. M. Smith,et al.  Automatic Bayesian curve fitting , 1998 .

[8]  P. Green Reversible jump Markov chain Monte Carlo computation and Bayesian model determination , 1995 .

[9]  Jooyoung Park,et al.  Universal Approximation Using Radial-Basis-Function Networks , 1991, Neural Computation.

[10]  Andreas Schinner,et al.  An empirical approach to the stopping power of solids and gases for ions from , 2001 .

[11]  Qing Li,et al.  Improving Image Classification Accuracy With ELM and CSIFT , 2019, Computing in Science & Engineering.

[12]  D. Broomhead,et al.  Radial Basis Functions, Multi-Variable Functional Interpolation and Adaptive Networks , 1988 .

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

[14]  Kurt Hornik,et al.  Approximation capabilities of multilayer feedforward networks , 1991, Neural Networks.

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

[16]  Brijesh Verma,et al.  Nonlinear curve fitting to stopping power data using RBF neural networks , 2016, Expert Syst. Appl..

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

[18]  Heru Xue,et al.  An incorporative statistic and neural approach for crop yield modelling and forecasting , 2011, Neural Computing and Applications.