Non-linear complex principal component analysis of nearshore bathymetry

Nonlinear Processes in Geophysics

Volumn 12, Issue 5, 2005, Pages 661-670

  Rattan, Sanjay S P ^a,b   Ruessink, B G ^c   Hsieh, W W ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b UNIVERSITY OF ALBERTA   (Canada)

^c UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

BATHYMETRIC SURVEY; PRINCIPAL COMPONENT ANALYSIS;

EID: 24144460625     PISSN: 10235809     EISSN: None     Source Type: Journal    
DOI: 10.5194/npg-12-661-2005     Document Type: Article

References (26)

1. Birkemeier, W. A. and Mason, C.: The CRAB: A unique nearshore surveying vehicle, J. Surv. Eng., 110, 1-7, 1984.
2. Bishop, C. M.: Neural Networks for Pattern Recognition, Oxford University Press, Oxford, 1995.
3. Gardner, M. W. and Dorling, S. R.: Artificial neural networks (the multilayer perceptron)-a review of applications in the atmospheric sciences, Atmospheric Environment, 32, 2627-2636, 1998.
4. Hamilton, K. and Hsieh, W. W.: Representation of the QBO in the Tropical stratospheric wind by nonlinear principal component analysis, J. Geophys. Res., 107, doi:10.1029/2001JD001250, 2002.
5. Horel, J. D.: Complex principal component analysis: theory and examples, J. Climate Appl. Meteorol., 23, 1660-1673, 1984.
6. Hsieh, W. W.: Nonlinear principal component analysis by neural networks, Tellus, 53A, 599-615, 2001.
7. Hsieh, W. W.: Nonlinear multivariate and time series analysis by neural network methods, Rev. Geophys., 42, RG1003, doi: 10.1029/2002RG000 112, 2004.
8. Hsieh, W. W. and Tang, B.: Applying neural network models to prediction and data analysis in meteorology and oceanography, Bulletin of the American Meteorological Society, 79, 1855-1870, 1998.
9. Jolliffe, I. T.: Principal Component Analysis, Springer Verlag, Berlin, 2002.
10. Katoh, K. and Yanagishima, S.: Changes of sand grain distribution in the surf zone, in Proc. Coastal Dynamics'95, 639-650, ASCE, New York, 1995.
11. Kirby, M. J. and Miranda, R.: Circular nodes in neural networks, Neural Comp., 8, 390-402, 1996.
12. Kramer, M. A.: Nonlinear principal component analysis using autoassociative neural networks, AlChE Journal, 37, 233-243, 1991.
13. Kuriyama, Y.: Medium-term bar behavior and associated sediment transport at Hasaki, Japan, J. Geophys. Res., 107, doi:10.1029/2001JC000 899, 2002.
14. Malthouse, E. C.: Limitations of nonlinear PCA as performed with generic neural networks, IEEE Transactions on neural networks, 9, 165-173, 1998.
15. Plant, N. G., Holman, R. A., Freilich, M. H., and Birkemeier, W. A.: A simple model for interannual sandbar behavior, J. Geophys. Res., 104, 15 755-15 776, 1999.
16. Rattan, S. S. P. and Hsieh, W. W.: Nonlinear complex principal component analyis of the tropical Pacific interannual wind variability, Geophys. Res. Lett., 31, L21 201, doi:10.1029/2004GL 020 446, 2004.
17. Rattan, S. S. P. and Hsieh, W. W.: Complex-valued neural networks for nonlinear complex principal component analysis, Neural Networks, 18, 61-69, doi:10.1016/j.neunet.2004.08.002, 2005.
18. Ruessink, B. G. and Kroon, A.: The behaviour of a multiple bar system in the nearshore zone of Terschelling: 1965-1993, Marine Geology, 121, 187-197, 1994.
19. Ruessink, B. G., Wijnberg, K. M., Holman, R. A., Kuriyama, Y., and Van Enckevort, I. M. J.: Intersite comparison of interannual nearshore bar behavior, J. Geophys. Res., 108, doi:10.1029/2002JC001 505, 2003.
20. Ruessink, B. G., Van Enckevort, I. M. J., and Kuriyama, Y.: Nonlinear principal component analysis of nearshore bathymetry, Marine Geology, 203, 185-197, 2004.
21. Shand, R. D. and Bailey, D. G.: A review of net offshore bar migration with photographic illustrations from Wanganui, New Zealand, J. Coast. Res., 15, 365-378, 1999.
22. Shand, R. D., Bailey, D. G., and Shephard, M. J.: An inter-site comparison of net offshore bar migration characteristics and environmental conditions, J. Coast. Res., 15, 750-765, 1999.
23. Strang, G.: Linear Algebra and its Applications, Harcourt, Brace, Jovanovich Publishers, San Diego, 1988.
24. Thornton, E. B. and Guza, R. T.: Energy saturation and phase speeds measured on a natural beach, J. Geophys. Res., 87, 9499-9508, 1982.
25. Von Storch, H. and Zwiers, F. W.: Statistical analysis in climate research, Cambridge University Press, Cambridge, 1999.
26. Wijnberg, K. M. and Terwindt, J. H. J.: Extracting decadal morphological behaviour from high-resolution, long-term bathymetric surveys along the Holland coast using eigenfunction analysis, 126, 301-330, 1995.