Applications of Neural Network Radial Basis Function in Economics and Financial Time Series

2010 ◽  
Author(s):  
Eleftherios Giovanis
Keyword(s):  
Neural Network ◽  
Time Series ◽  
Radial Basis Function ◽  
Basis Function ◽  
Financial Time Series ◽  
Financial Time ◽  
Radial Basis

scholarly journals Online Learning with Radial Basis Function Networks

2021 ◽  
Author(s):  
Gabriel Borrageiro
Keyword(s):  
Time Series ◽  
Online Learning ◽  
Radial Basis Function ◽  
Basis Function ◽  
Financial Time Series ◽  
Gram Matrix ◽  
Radial Basis Function Networks ◽  
Learning Models ◽  
Financial Time ◽  
Radial Basis

We investigate the benefits of feature selection, nonlinear modelling and online learning when forecasting in financial time series. We consider the sequential and continual learning sub-genres of online learning. The experiments we conduct show that there is a benefit to online transfer learning, in the form of radial basis function networks, beyond the sequential updating of recursive least-squares models. We show that the radial basis function networks, which make use of clustering algorithms to construct a kernel Gram matrix, are more beneficial than treating each training vector as separate basis functions, as occurs with kernel Ridge regression. We demonstrate quantitative procedures to determine the very structure of the radial basis function networks. Finally, we conduct experiments on the log returns of financial time series and show that the online learning models, particularly the radial basis function networks, are able to outperform a random walk baseline, whereas the offline learning models struggle to do so.

scholarly journals Online Learning with Radial Basis Function Networks

2021 ◽  
Author(s):  
Gabriel Borrageiro
Keyword(s):  
Time Series ◽  
Online Learning ◽  
Radial Basis Function ◽  
Transfer Learning ◽  
Basis Function ◽  
Financial Time Series ◽  
Radial Basis Function Networks ◽  
Learning Models ◽  
Financial Time ◽  
Radial Basis

We investigate the benefits of feature selection, nonlinear modelling and online learning when forecasting financial time series. We combine sequential updating with continual learning, specifically transfer learning. We perform feature representation transfer through clustering algorithms that determine the analytical structure of radial basis function networks we construct. These networks achieve lower mean-square prediction errors than kernel ridge regression models, which arbitrarily use all training vectors as prototypes. We also demonstrate quantitative procedures to determine the very structure of the networks. Finally, we conduct experiments on the log-returns of financial time series and show that these online transfer learning models outperform a random-walk baseline. In contrast, the offline learning models struggle to do so.

scholarly journals Online Learning with Radial Basis Function Networks

2021 ◽  
Author(s):  
Gabriel Borrageiro
Keyword(s):  
Time Series ◽  
Online Learning ◽  
Radial Basis Function ◽  
Basis Function ◽  
Financial Time Series ◽  
Gram Matrix ◽  
Radial Basis Function Networks ◽  
Learning Models ◽  
Financial Time ◽  
Radial Basis

We investigate the benefits of feature selection, nonlinear modelling and online learning when forecasting in financial time series. We consider the sequential and continual learning sub-genres of online learning. The experiments we conduct show that there is a benefit to online transfer learning, in the form of radial basis function networks, beyond the sequential updating of recursive least-squares models. We show that the radial basis function networks, which make use of clustering algorithms to construct a kernel Gram matrix, are more beneficial than treating each training vector as separate basis functions, as occurs with kernel Ridge regression. We demonstrate quantitative procedures to determine the very structure of the radial basis function networks. Finally, we conduct experiments on the log returns of financial time series and show that the online learning models, particularly the radial basis function networks, are able to outperform a random walk baseline, whereas the offline learning models struggle to do so.

scholarly journals Online Learning with Radial Basis Function Networks

2021 ◽  
Author(s):  
Gabriel Borrageiro
Keyword(s):  
Time Series ◽  
Online Learning ◽  
Radial Basis Function ◽  
Transfer Learning ◽  
Basis Function ◽  
Financial Time Series ◽  
Radial Basis Function Networks ◽  
Learning Models ◽  
Financial Time ◽  
Radial Basis

We investigate the benefits of feature selection, nonlinear modelling and online learning when forecasting in financial time series. We consider the sequential and continual learning sub-genres of online learning. The experiments we conduct show that there is a benefit to online transfer learning, beyond the sequential updating of recursive least-squares models. We show that feature representation transfer via radial basis function networks, which make use of clustering algorithms to construct a kernel Gram matrix, are more beneficial than treating each training vector as separate basis functions, as occurs with kernel Ridge regression. We also demonstrate quantitative procedures to determine the very structure of the networks. Finally, we conduct experiments on the log returns of financial time series and show that these online transfer learning models are able to outperform a random walk baseline, whereas the offline learning models struggle to do so.

scholarly journals Online Learning with Radial Basis Function Networks

2021 ◽  
Author(s):  
Gabriel Borrageiro
Keyword(s):  
Time Series ◽  
Online Learning ◽  
Radial Basis Function ◽  
Transfer Learning ◽  
Basis Function ◽  
Financial Time Series ◽  
Radial Basis Function Networks ◽  
Learning Models ◽  
Financial Time ◽  
Radial Basis

We investigate the benefits of feature selection, nonlinear modelling and online learning when forecasting in financial time series. We consider the sequential and continual learning sub-genres of online learning. The experiments we conduct show that there is a benefit to online transfer learning, beyond the sequential updating of recursive least-squares models. We show that feature representation transfer via radial basis function networks, which make use of clustering algorithms to construct a kernel Gram matrix, are more beneficial than treating each training vector as separate basis functions, as occurs with kernel Ridge regression. We also demonstrate quantitative procedures to determine the very structure of the networks. Finally, we conduct experiments on the log returns of financial time series and show that these online transfer learning models are able to outperform a random walk baseline, whereas the offline learning models struggle to do so.

scholarly journals Online Learning with Radial Basis Function Networks

2021 ◽  
Author(s):  
Gabriel Borrageiro
Keyword(s):  
Time Series ◽  
Online Learning ◽  
Radial Basis Function ◽  
Basis Function ◽  
Financial Time Series ◽  
Gram Matrix ◽  
Radial Basis Function Networks ◽  
Learning Models ◽  
Financial Time ◽  
Radial Basis

We investigate the benefits of feature selection, nonlinear modelling and online learning when forecasting in financial time series. We consider the sequential and continual learning sub-genres of online learning. The experiments we conduct show that there is a benefit to online transfer learning, in the form of radial basis function networks, beyond the sequential updating of recursive least-squares models. We show that the radial basis function networks, which make use of clustering algorithms to construct a kernel Gram matrix, are more beneficial than treating each training vector as separate basis functions, as occurs with kernel Ridge regression. We demonstrate quantitative procedures to determine the very structure of the radial basis function networks. Finally, we conduct experiments on the log returns of financial time series and show that the online learning models, particularly the radial basis function networks, are able to outperform a random walk baseline, whereas the offline learning models struggle to do so.

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