Dynamical Recurrent Neural Networks and Pattern Recognition Methods for Time Series Prediction - Application to Seeing and Temperature Forecasting in the Context of Eso's VLT Astronomical Weather Station

Abstract The European Southern Observatory's planned Astronomical Weather Station for the Very Large Telescope which is currently under construction at Cerro Paranal in Chile includes (i) advance temperature prediction, which would permit air conditioning in the telescope enclosure to be preset as a function of the next night's expected temperature; and (ii) prediction of seeing, a few hours in advance, to allow flexible scheduling of the most appropriate instrumentation. Extensive data, collected since 1985, are being used to appraise various methodologies. A recurrent neural network is described, which uses arbitrary time-delayed connections to capture the dynamic of time series. This endows the model with a memory of its previous states. The resulting network is time- and space-recurrent, and generalizes most recurrent architectures. The performance of this network is discussed. The results are compared with the k-nearest neighbors method.

[1]  Marc S. Sarazin,et al.  NOWCASTING ASTRONOMICAL SEEING: TOWARDS AN OPERATIONAL APPROACH , 1995 .

[2]  James L. McClelland,et al.  Parallel distributed processing: explorations in the microstructure of cognition, vol. 1: foundations , 1986 .

[3]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1992, Math. Control. Signals Syst..

[4]  E K Hege,et al.  Evidence of a chaotic attractor in star-wander data. , 1991, Optics letters.

[5]  Fionn Murtagh,et al.  Fuzzy astronomical seeing nowcasts with a dynamical and recurrent connectionist network , 1996, Neurocomputing.

[6]  L. B. Lmeida Backpropagation in perceptrons with feedback , 1988 .

[7]  J. Doyne Farmer,et al.  Exploiting Chaos to Predict the Future and Reduce Noise , 1989 .

[8]  George E. P. Box,et al.  Time Series Analysis: Forecasting and Control , 1977 .

[9]  L. B. Almeida,et al.  BACKPROPAGATION IN PERCEPTRONS WITH FEEDBACK , 2022 .

[10]  Les E. Atlas,et al.  Recurrent neural networks and robust time series prediction , 1994, IEEE Trans. Neural Networks.

[11]  Ronald J. Williams,et al.  Experimental Analysis of the Real-time Recurrent Learning Algorithm , 1989 .

[12]  Geoffrey E. Hinton,et al.  Learning internal representations by error propagation , 1986 .

[13]  David E. Rumelhart,et al.  Predicting the Future: a Connectionist Approach , 1990, Int. J. Neural Syst..

[14]  Mw Hirsch,et al.  Chaos In Dynamical Systems , 2016 .

[15]  Pineda,et al.  Generalization of back-propagation to recurrent neural networks. , 1987, Physical review letters.

[16]  P. Young,et al.  Time series analysis, forecasting and control , 1972, IEEE Transactions on Automatic Control.

[17]  R. Palmer,et al.  Introduction to the theory of neural computation , 1994, The advanced book program.

[18]  Marc S. Sarazin,et al.  Statistical Prediction of Astronomical Seeing and of Telescope Thermal Environment , 1992 .

[19]  Anders Krogh,et al.  Introduction to the theory of neural computation , 1994, The advanced book program.

[20]  Andreas S. Weigend,et al.  The Future of Time Series: Learning and Understanding , 1993 .

[21]  Sadaaki Miyamoto,et al.  Fuzzy Sets in Information Retrieval and Cluster Analysis , 1990, Theory and Decision Library.

[22]  Marc S. Sarazin,et al.  NOWCASTING ASTRONOMICAL SEEING: A STUDY OF ESO LA SILLA AND PARANAL , 1993 .

[23]  Andreas S. Weigend,et al.  Time Series Prediction: Forecasting the Future and Understanding the Past , 1994 .

[24]  D. B. Preston Spectral Analysis and Time Series , 1983 .