Artificial neural networks in time series forecasting: a comparative analysis
Héctor Allende; Claudio Moraga; Rodrigo Salas
Kybernetika (2002)
- Volume: 38, Issue: 6, page [685]-707
- ISSN: 0023-5954
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topAllende, Héctor, Moraga, Claudio, and Salas, Rodrigo. "Artificial neural networks in time series forecasting: a comparative analysis." Kybernetika 38.6 (2002): [685]-707. <http://eudml.org/doc/33612>.
@article{Allende2002,
abstract = {Artificial neural networks (ANN) have received a great deal of attention in many fields of engineering and science. Inspired by the study of brain architecture, ANN represent a class of non-linear models capable of learning from data. ANN have been applied in many areas where statistical methods are traditionally employed. They have been used in pattern recognition, classification, prediction and process control. The purpose of this paper is to discuss ANN and compare them to non-linear time series models. We begin exploring recent developments in time series forecasting with particular emphasis on the use of non-linear models. Thereafter we include a review of recent results on the topic of ANN. The relevance of ANN models for the statistical methods is considered using time series prediction problems. Finally we construct asymptotic prediction intervals for ANN and show how to use prediction intervals to choose the number of nodes in the ANN.},
author = {Allende, Héctor, Moraga, Claudio, Salas, Rodrigo},
journal = {Kybernetika},
keywords = {artificial neural network; non-linear time series model; prediction; artificial neural network; non-linear time series model; prediction},
language = {eng},
number = {6},
pages = {[685]-707},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Artificial neural networks in time series forecasting: a comparative analysis},
url = {http://eudml.org/doc/33612},
volume = {38},
year = {2002},
}
TY - JOUR
AU - Allende, Héctor
AU - Moraga, Claudio
AU - Salas, Rodrigo
TI - Artificial neural networks in time series forecasting: a comparative analysis
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 6
SP - [685]
EP - 707
AB - Artificial neural networks (ANN) have received a great deal of attention in many fields of engineering and science. Inspired by the study of brain architecture, ANN represent a class of non-linear models capable of learning from data. ANN have been applied in many areas where statistical methods are traditionally employed. They have been used in pattern recognition, classification, prediction and process control. The purpose of this paper is to discuss ANN and compare them to non-linear time series models. We begin exploring recent developments in time series forecasting with particular emphasis on the use of non-linear models. Thereafter we include a review of recent results on the topic of ANN. The relevance of ANN models for the statistical methods is considered using time series prediction problems. Finally we construct asymptotic prediction intervals for ANN and show how to use prediction intervals to choose the number of nodes in the ANN.
LA - eng
KW - artificial neural network; non-linear time series model; prediction; artificial neural network; non-linear time series model; prediction
UR - http://eudml.org/doc/33612
ER -
References
top- Allende H., Galbiati J., Robust test in time series model, J. Interamerican Statist. Inst. 1 (1996), 48. 35–79 (1996) MR1648377
- Allende H., Heiler S., 10.1111/j.1467-9892.1992.tb00091.x, J. Time Ser. Anal. 13 (1992), 1–18 (1992) Zbl0850.62666MR1149267DOI10.1111/j.1467-9892.1992.tb00091.x
- Anderson B., Moore J., Optimal Filtering, Prentice Hall, Englewood Cliffs, N.J. 1979 Zbl1191.93133
- Baxt W. G., 10.1162/neco.1990.2.4.480, Neural Computational 2 (1990), 480–489 (1990) DOI10.1162/neco.1990.2.4.480
- Benitez J. M., Castro J. L., Requena J., 10.1109/72.623216, Neural Networks 8 (1997), 1156–1163 (1997) DOI10.1109/72.623216
- Beran J., Statistics for Long-memory Processes, Chapman and Hall, London 1994 Zbl0869.60045MR1304490
- Bowerman B. L., O’Connell R. T., Forecasting and time series: an applied approach, Third edition. Duxbury Press, 1993 Zbl0779.62087MR0635926
- Box G. E. P., Jenkins G. M., Reinsel G. C., Time Series Analysis, Forecasting and Control, Third edition. Prentice Hall, Englewood Cliffs, N.J. 1994 Zbl1154.62062MR1312604
- Breiman L., Friedman J., Olshen, R., Stone C. J., Classification and Regression Trees, Belmont, C. A. Wadsworth, 1984 Zbl0541.62042MR0726392
- Brockwell P. J., Davis R. A., Time Series Theory and Methods, Springer Verlag, New York 1991 Zbl1169.62074MR1093459
- Brown R. G., Smoothing, Forecasting and Prediction of Discrete Time Series, Prentice Hall, Englewood Cliffs, N.J. 1962 Zbl0192.25606
- Chatfield C., Forecasting in the 1990s, Statistician 4 (1997), 46, 461–473 (1997)
- Cheng B., Titterington D. M., 10.3902/jnns.1.e2, Statist. Sci. 1 (1994), 2–54 (1994) MR1278678DOI10.3902/jnns.1.e2
- Connor J. T., Martin R. D., 10.1109/72.279188, IEEE Trans. Neural Networks 2 (1994), 5, 240–253 (1994) DOI10.1109/72.279188
- Crato N., Ray B. K., 10.1002/(SICI)1099-131X(199603)15:2<107::AID-FOR612>3.0.CO;2-D, Internat. J. Forecasting 15 (1996), 107–125 (1996) DOI10.1002/(SICI)1099-131X(199603)15:2<107::AID-FOR612>3.0.CO;2-D
- Fine T. L., Feedforward Neural Network Methodology, Springer, New York 1999 Zbl0963.68163MR1691898
- Flury B., Riedwyl H., Multivariate Statistics: A Practical Approach, Chapman Hall, London 1990
- Friedman J. H., 10.1214/aos/1176347963, Ann. Statist. 19 (1991), 1–141 (1991) MR1091842DOI10.1214/aos/1176347963
- Funahashi K. I., 10.1016/0893-6080(89)90003-8, Neural Networks 2 (1989), 183–192 (1989) DOI10.1016/0893-6080(89)90003-8
- Han J., Moraga, C., Sinne S., 10.1016/0952-1976(95)00001-1, Engrg. Appl. Artificial Intelligence 2 (1996), 9, 109–119 (1996) DOI10.1016/0952-1976(95)00001-1
- Hornik K., Stinchcombe, M., White H., 10.1016/0893-6080(89)90020-8, Neural Networks 2 (1989), 359–366 (1989) DOI10.1016/0893-6080(89)90020-8
- Hristev R. M., Artificial Neural Networks, Preprint of a book obtained via Internet from the author, 1998
- Hutchinson J. M., A Radial Basis Function Approach to Financial Time Series Analysis, Ph.D. Thesis. Massachusetts Institute of Technology, 1994 MR2716481
- Hwang J. T. G., Ding A. A., Prediction for artificial neural networks, J. Amer. Statist. Assoc. 92 (1997), 438, 748–757 (1997) MR1467864
- Lin J. L., Granger C. W., 10.1002/for.3980130102, Internat. J. Forecasting 13 (1994), 1–9 (1994) DOI10.1002/for.3980130102
- Lippmann R. P., An introduction to computing with neural nets, IEEE ASSP Magazine (1997), 4–22 (1997)
- Ljung G. M., Bax G. E. P., 10.1093/biomet/65.2.297, Biometrika 65 (1978), 297–303 (1978) DOI10.1093/biomet/65.2.297
- McCullagh P., Nelder J. A., Generalized Linear Models, Chapman Hall, London 1989 Zbl0744.62098MR0727836
- Meditch J. S., Stochastic Optimal linear Estimation and Control, MacGraw–Hill, New York 1969 Zbl0269.93061
- Moody J. E., Utans J., Architecture selection strategies for neural networks, In: Refenes A. P. N. Neural Networks in the Capital Markets, Wiley, New York 1995
- Moraga C., Properties of parametric feedforward neural networks, In: XXIII Conferencia Latinoamericana de Informática, Valparaíso 1997, Vol. 2, pp. 861–870 (1997)
- Pineda F. J., Generalization of Backpropagation to recurrent and higher order networks, In: Proc. IEEE Conf. Neural Inform. Proc. Syst., 1987
- Poli R., Cagnoni S., Coppini, G., Walli G., A neural network expert system for diagnosing and treating hypertension, Computer (1991), 64–71 (1991)
- Referes A. P. N., Zapranis A. D., 10.1002/(SICI)1099-131X(199909)18:5<299::AID-FOR725>3.0.CO;2-T, J. Forecasting 18 (1999), 299–322 (1999) DOI10.1002/(SICI)1099-131X(199909)18:5<299::AID-FOR725>3.0.CO;2-T
- Reinsel G. C., Elements of Multivariate Time Series Analysis, Springer Verlag, New York 1993 Zbl1047.62078MR1238940
- Ripley B. D., Statistical aspects of neural networks, In: Networks and Chaos-Statistical and Probabilistic Aspect (O. E. Barndorf–Nielsen, J. L. Jensen, and W. S. Kendall, eds.), Chapman and Hall, London 1993 Zbl0825.68531MR1314652
- Sarle W. S., Neural networks and statistical methods, In: Proc. of the 19th Anual SAS Users Group International Conference, 1994 (19th)
- Smith J., Yadav S., 10.1016/0169-2070(94)90019-1, Internat. J. Forecasting 10 (1994), 507–514 (1994) DOI10.1016/0169-2070(94)90019-1
- Stern H. S., 10.1080/00401706.1996.10484497, Technometrics 38 (1996), 3, 205–214 (1996) Zbl0896.62098MR1411878DOI10.1080/00401706.1996.10484497
- Rao T. Subba, On the theory of bilinear models, J. Roy. Statist. Soc. Ser. B 43 (1981), 244–255 (1981) MR0626772
- Sussmann H. J., 10.1016/S0893-6080(05)80037-1, Neural Networks 5 (1992), 589–593 (1992) DOI10.1016/S0893-6080(05)80037-1
- Temme K. H., Heider, R., Moraga C., Generalized neural networks for fuzzy modeling, In: Proc. Internat. Conference of European Society of Fuzzy Logic and Technology, EUSFLAT’99 Palma de Mallorca 1999
- Tong H., Non-linear Time Series, Oxford University Press, Oxford 1990 Zbl0835.62076
- Vapnik V., The Nature of Statistical Learning Theory, Springer Verlag, Berlin 1995 Zbl0934.62009MR1367965
- Vapnik V., Chervoneski A., The necessary and sufficient conditions for consistency of the method of empirical risk minimization, Pattern Recognition Image Anal. 1 (1991), 284–305 (1991)
- Waibel A., Hanazawa T., Hinton G., Shikano, K., Lang K. J., 10.1109/29.21701, IEEE Trans. Acoust. Speech Signal Process. 37 (1989), 324–329 (1989) DOI10.1109/29.21701
- Wu F. Y., Yen K. K., Application of neural network in regression analysis, In: Proc. 14th Annual Conference on Computers and Industrial Engineering, 1992
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