Nonlinear dimensionality reduction in climate data

Nonlinear Processes in Geophysics

Volumn 11, Issue 3, 2004, Pages 393-398

  Gamez A J ^a   Zhou, C S ^a   Timmermann, A ^b   Kurths, J ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

^b GEOMAR HELMHOLTZ CENTRE FOR OCEAN RESEARCH KIEL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CLIMATE MODELING; DATA PROCESSING; EL NINO-SOUTHERN OSCILLATION; NONLINEARITY;

EID: 7044251937     PISSN: 10235809     EISSN: None     Source Type: Journal    
DOI: 10.5194/npg-11-393-2004     Document Type: Article

References (26)

1. An, S.-I., and Wang, B.: Mechanisms of locking of the El Niño and La Niña mature phases to boreal winter, J. Climate. 14, 2164-2176, 2001.
2. Borg, I. and Groenen, P.: Modern Multidimensional Scaling: Theory and Applications, Springer-Verlag, 1997.
3. Do Carmo, M.: Differential Geometry of Curves and Surfaces, Prentice-Hall, 1976.
4. Floyd, R. W.: Algorithm 97: Shortest path, Communications of the ACM, 5, 6, 345, 1962.
5. Gower, J.: Some distance properties of latent root and vector methods used in multivariate analysis, Biometrika, 53, 325-328, 1966.
6. Grieger, B. and Latif, M.: Reconstruction of the El Ni attractor with neural networks, Climate Dynamics, 10, 267-276, 1994.
7. Holmes, P., Lumley, J. L., Berkooz, G., Mattingly, J. C., and Wittenberg, R. W.: Low-dimensional models of coherent structures in turbulence, Physics Reports, 287(4), 337-384, 1997.
8. Jin, F. F.: El Niño/Southern Oscillation and the annual cycle: subharmonic frequency-locking and aperiodicity, Physica D, 98, 442-465, 1996.
9. Jin, F. F.: An equatorial recharge paradigm for ENSO. Part I: Conceptual model, J. Atmos. Sci., 54, 811-829, 1997.
10. Joliffe, I. T. Principal Component Analysis, Springer Verlag, 1986.
11. Kaplan, A., Cane M., Kushnir, Y., Clement, A., Blumenthal, M., and Rajagopalan, B.: Analyses of global sea surface temperature 1856-1991, J. Geophys. Res., 103(C9), 18, 567-18, 589, 1998
12. Karhunen, K.: Zur Spektraltheorie stochastischer Prozesse, Ann. Acad. Sci. Fennicae, Ser. A1, 34, 1946.
13. Li, T. and Philander, S. G.: On the Annual Cycle of the Eastern Equatorial Pacific, J. Climate, 9, 2986-2998, 1996
14. Loève, M.: Functions alèatoire de second ordre, Comptes Rendus Acad. Sci., Paris, 220, 1945.
15. Monahan, A. H.: Nonlinear principal component analysis: Tropical Indo-Pacific sea surface temperature and sea level pressure, J. Climate, 14, 219-233, 2001.
16. Philander, G. S.: El Niño, La Niña and the Southern Oscillation, San Diego: Academic Press, 1990.
17. Pikovsky, A., Rosenblum, M., and Kurths, J.: Synchronization: A universal concept in nonlinear sciences, Cambridge University Press, 2001.
18. Reynolds, R. W. and Smith, T. M.: A high resolution global sea surface temperature climatology, J. Climate, 8, 1571-1583, 1995.
19. von Storch, H. and Zwiers, F. W.: Statistical Analysis in Climate Research, Cambridge University Press, 1999.
20. Tenenbaum, J. B., de Silva, V., and Langford, J. C.: A global geometric framework for nonlinear dimensionality reduction, Science, 290, 2319-2323, 2000.
21. Tziperman, E., Stone, L., Cane, M., and Jarosh, H.: El Niño chaos: overlapping of resonances between the seasonal cycle and the Pacific ocean-atmosphere oscillator, Science, 264, 72-74, 1994.
22. Tziperman, E., Cane, M. A., Zebiak, S. E., Xue, Y., and Blumenthal, B.: Locking of El Niño's Peak Time to the End of the Calendar Year in the Delayed Oscillator Picture of ENSO, J. Climate, 11, 2191-2199, 1998.
23. de Silva, V. and Tenenbaum, J. B.: Global versus local methods in nonlinear dimensionality reduction, Advances in Neural Information Processing Systems, edited by Becker, S., Thrun, S., and Obermayer, K., MIT Press, Cambridge, 15, 705-712, 2003.
24. Xie, S.: On the Genesis of the Equatorial Annual Cycle, J. Climate, 7, 2008-2013, 1994.
25. Xie, S.: Interaction between the Annual and Interannual Variations in the Equatorial Pacific, J. Phys. Oceanogr., 25, 1930-1941, 1995.
26. Zebiak, S. E. and Cane, M. A.: A model El Niño/Southern Oscillation, Mon. Weather Rev., 115, 2262-2278, 1987.