Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence
Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence
Robust estimation in very small samples
Computational Statistics & Data Analysis
Fast algorithm for robust template matching with M-estimators
IEEE Transactions on Signal Processing
Robust radial basis function neural networks
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
An efficient sequential learning algorithm for growing and pruning RBF (GAP-RBF) networks
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
M-estimator and D-optimality model construction using orthogonal forward regression
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Forecasting time series with genetic fuzzy predictor ensemble
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Neural Networks
The annealing robust backpropagation (ARBP) learning algorithm
IEEE Transactions on Neural Networks
Prediction of noisy chaotic time series using an optimal radial basis function neural network
IEEE Transactions on Neural Networks
Orthogonal least squares learning algorithm for radial basis function networks
IEEE Transactions on Neural Networks
CO$^2$RBFN for short-term forecasting of the extra virgin olive oil price in the Spanish market
International Journal of Hybrid Intelligent Systems - Hybrid Fuzzy Models
Expert Systems with Applications: An International Journal
Prediction functions in bi-temporal datastreams
DEXA'10 Proceedings of the 21st international conference on Database and expert systems applications: Part I
Expert Systems with Applications: An International Journal
Short-term wind speed forecasting based on a hybrid model
Applied Soft Computing
Hi-index | 12.05 |
Noisy time series prediction is attractive and challenging since it is essential in many fields, such as forecasting, modeling, signal processing, economic and business planning. Radial basis function (RBF) neural network is considered as a good candidate for the prediction problems due to its rapid learning capacity and, therefore, has been applied successfully to nonlinear time series modeling and forecasts. However, the traditional RBF network encounters two primary problems. The first one is that the network performance is very likely to be affected by noise. The second problem is about the determination of the number of hidden nodes. In this paper, we present an M-estimator based robust radial basis function (RBF) learning algorithm with growing and pruning techniques. The Welsch M-estimator and median scale estimator are employed to get rid of the influence from the noise. The concept of neuron significance is adopted to implement the growing and pruning techniques of network nodes. The proposed method not only eliminates the influence of noise, but also dynamically adjusts the number of neurons to approach an appropriate size of the network. The results from the experiments show that the proposed method can produce a minimum prediction error compared with other methods. Furthermore, even adding 30% additive noise of the magnitude of the data, this proposed method still can do a good performance.