Artificial Neural Networks in Finance and Manufacturing 2006
DOI: 10.4018/978-1-59140-670-9.ch005
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Application of Higher-Order Neural Networks to Financial Time-Series Prediction

Abstract: Financial time-series data is characterized by nonlinearities, discontinuities, and high-frequency multipolynomial components. Not surprisingly, conventional artificial neural networks (ANNs) have difficulty in modeling such complex data. A more appropriate approach is to apply higher-order ANNs, which are capable of extracting higher-order polynomial coefficients in the data. Moreover, since there is a one-to-one correspondence between network weights and polynomial coefficients, higher-order neural networks … Show more

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Cited by 32 publications
(6 citation statements)
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“…These networks can modify their internal behaviour depending on the results achieved [15]. Traditional areas in which artificial neural networks (ANN) are known to excel are pattern recognition, pattern matching, and mathematical function approximation [16]. An ANN is comprised of processing elements that have inputs from other elements and/or the environment as well as its output.…”
Section: Artificial Neural Network (Ann)mentioning
confidence: 99%
“…These networks can modify their internal behaviour depending on the results achieved [15]. Traditional areas in which artificial neural networks (ANN) are known to excel are pattern recognition, pattern matching, and mathematical function approximation [16]. An ANN is comprised of processing elements that have inputs from other elements and/or the environment as well as its output.…”
Section: Artificial Neural Network (Ann)mentioning
confidence: 99%
“…Zhang et ai. (2000), Fulcher et al (2006) have developed several different HONN models and these models are tenned as polynomial, trigonometric, and similar HONN models. All HONN model described in their paper utilize various combinations of linear, power, and multiplicative (and sometimes other) neuron types and are trained using standard back-propagation.…”
Section: Types Of Networkmentioning
confidence: 99%
“…Methods including Auto-Regressive Moving Average (ARMA) [7], Auto-Regressive Integrated Moving Average (ARIMA) [8], Seasonal ARIMA [9], exponential smoothing [10], and Vector Autoregression (VAR) [11] are parametric models which require prior statistical knowledge on the time series data, which may not be feasible for practical applications. Non-parametric methods for time series modeling and prediction including neural networks [12,13] have been successfully applied to different time series modeling and forecasting applications [14][15][16][17].…”
Section: Introductionmentioning
confidence: 99%