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TECHNICAL PAPERS

The Reconstruction of Significant Wave Height Time Series by Using a Neural Network Approach

[+] Author and Article Information
Felice Arena

Department of Mechanics and Materials–University ‘Mediterranea’ of Reggio Calabria, Loc. Feo di Vito–89100 Reggio Calabria–ItalyE-mail: arena@unirc.it

Silvia Puca

Department of Physics–University of Rome ‘La Sapienza’, Piazzale Aldo Moro 2–I-00185 Roma–ItalyE-mail: puca@meteoam.it

J. Offshore Mech. Arct. Eng 126(3), 213-219 (Feb 06, 2004) (7 pages) doi:10.1115/1.1782646 History: Received November 02, 2002; Revised February 06, 2004
Copyright © 2004 by ASME
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References

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Soares,  C. Guedes, and Cunha,  C., 2000, “Bivariate Autoregressive Models for the Time Series of Significant Wave Height and Mean Period,” Coastal Eng., 40, pp. 297–311.
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Boccotti, P., 2000, Wave Mechanics for Ocean Engineering, Elsevier Science, Oxford, pp. 1–496.
Hertz, J., Krog, A., and Palmer, R. G., 1993, Introduction to Theory of Neural Computation, Addison-Wesley.
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Mhaskar,  H. N., 1996, “Neural Networks for Optimal Approximation of Smooth and Analytic Functions,” Neural Comput., 8, pp. 164–177.
Arena, F., and Barbaro, G., 1999, Risk Analysis in the Italian seas (in Italian), Italian National Research Council, publication GNDCI n. 1965, pp. 1–136.
Borgman, L., 1970, “Maximum wave Height Probabilities for a Random Number of Random Intensity Storms,” Proc., 12th Conf. Coastal Engng., pp. 53–64.
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Figures

Grahic Jump Location
Comparison between the learning error distribution (for a Learning Set given by year 1989) and the testing error distribution (obtained from the total sample testing set).
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The distribution of the significant wave height on the Weibull paper: comparison between actual data of buoy 46,012 (continuous line) and the output data of the MNN (o).
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Upper panel: significant wave height data of 46,012 NOAA buoy between October 1, 2000 and December 31, 2000. Lower panel: the corresponding data reconstructed by the neural network model during the testing phase, where the input data of the MNN are given by the significant wave height and wind direction of the buoy 46,026.
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The scatter diagram of the ETS heights obtained from actual data and testing data
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The return period R(Hs>h) of a sea storm in which the maximum significant wave height exceeds the threshold h, obtained for the actual data (continuous line) and for the output of the MNN during the testing phase (dotted line).
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The reconstruction of a gap during a storm recorded by NOAA 46,012 buoy in January 1983. Continuous line: actual data. Dotted line: data reconstructed by the MNN
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Comparison between probability density functions of significant wave height of the NOAA 46,012 buoy actual data (continuous line) and of the total sample, obtained adding all reconstructed data to the actual data of 46,012 buoy
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The strongest sea storm recorded by NOAA buoy 46,012, during December 1983 (upper panel); the corresponding ETS has height a=8.7 m and base b=58.2 hours. In the lower panel the probabilities of exceedance P(Hmax>H) of the actual storm (continuous line) and P(Hmax>H;a,b) of the ETS (dotted line) are compared
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The structure of the two-layered neural network
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The values of ε (Eq. (14)) for different ranges of significant wave height

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