Extraction of the relevant delays for temporal modeling

IEEE Transactions on Signal Processing

Volumn 48, Issue 6, 2000, Pages 1787-1795

  Goutte, Cyril ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; FIR FILTERS; IDENTIFICATION (CONTROL SYSTEMS); MAGNETIC RESONANCE IMAGING; MATHEMATICAL MODELS; SPURIOUS SIGNAL NOISE;

DELAY ESTIMATION; EXTRACTION OF THE RELEVANT DELAY METHOD; FUNCTIONAL MAGNETIC RESONANCE IMAGING; TEMPORAL MODELING;

SIGNAL PROCESSING;

EID: 0033728274     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.845935     Document Type: Article

References (40)

1. R. E. Bellman, Adaptive Control Processes: A Guided Tour. Princeton, NJ: Princeton Univ. Press, 1961.
2. C. M. Bishop, Neural Networks for Pattern Recognition. Oxford, U.K.: Clarendon, 1995.
3. R. R. Hocking, "The analysis and selection of variables in linear regression," Biometrics, vol. 32, pp. 1-49, Mar. 1976.
4. R. Savit and M. Green, "Time series and dependent variables," Physica D, vol. 50, no. 1, pp. 95-116, 1991.
5. H. Pi and C. Peterson, "Finding the embedding dimension and variable dependences intime series,"NeuralComput, vol. 6, no. 3, pp. 509-520, May 1994.
6. X. He and H. Asada, "A new method for identifying orders of input-output models for nonlinear dynamic systems," in Proc. Amer. Conf. Contr., San Francisco, CA, 1993.
7. C. Molina, N. Sampson, W. J. Fitzgerald, and M. Niranjan, "Geometrical techniques for finding the embedding dimension of time series," in Proc. IEEE Workshop Neural Networks Signal Process. VI, 1996, pp. 161-169.
8. K. Hornik, M. Stinchcombe, and H. White, "Multilayer feedforward networks are universal approximators," Neural Networks, vol. 2, pp. 359-368, 1989.
9. P. M. Narendra and K. Fukunaga, "A branch and bound algorithm for feature subset selection," IEEE Trans. Comput., vol. 26, pp. 917-922, Sept. 1977.
10. P. Leray and P. Gallinari, "Feature selection with neural networks," Tech. Rep. LIP6 1998/012, 1998.
11. R. Battiti, "Using mutual information for selecting features in supervised neural net learning," IEEE Trans. Neural Networks, vol. 5, pp. 537-550, Apr. 1994.
12. C. Goutte, "Lag space estimation in time series modeling," in Proc. ICASSP, 1997, pp. 3313-3316.
13. M. Stone, "Cross-validatory choice and assessment of statistical predictions," J. R. Stat. Soc. B, vol. 36, pp. 111-147, 1974.
14. G. Toussaint, "Bibliography on estimation of misclassification," IEEE Trans. Inform. Theory, vol. IT-20, pp. 472-79, July 1974.
15. H. Akaike, "Fitting autoregressive models for prediction," Ann. Inst. Stat. Math., vol. 21, pp. 243-247, 1969.
16. J. Moody, "Note on generalization, regularization and architecture selection in nonlinear learning systems," in Proc. 1st IEEE Workshop Neural Networks Signal Process., B. H. Juang, S. Y. Kung, and C. A. Kamm, Eds. Piscataway, NJ, 1991, pp. 1-10.
17. J. Larsen and L. K. Hansen, "Generalized performance of regularized neural networks models," in Proc. IEEE Workshop Neural Networks Signal Processing IV, J. Vlontzos, J. N. Hwang, and E. Wilson, Eds. Piscataway, NJ, 1994, pp. 42-51.
18. N. Murata, S. Yoshizawa, and S. Amari, "Network information criterion-Determining the number of hidden units for an artificial neural network model," IEEE Trans. Neural Networks, vol. 5, pp. 865-872, June 1994.
19. C. Goutte, "On the use of a pruning prior for neural networks," in Proc. IEEE Workshop Neural Networks Signal Processing VI, S. Usui, Y. Tohkura, S. Katagiri, and E. Wilson, Eds. Piscataway, NJ, 1996, pp. 52-61.
20. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1992.
21. S. Siegel, Nonparametric Statistics for the Behavioral Sciences. New York: McGraw-Hill, 1956.
22. C. Mallows, "Some comments on Cp," Technometrics, vol. 15, pp. 661-675, 1973.
23. R. B. Bendel and A. A. Afifi, "Comparison of stopping rules in forward "stepwise" regression," J. Amer. Stat.Assoc., vol. 72, no. 357, pp. 46-53, Mar. 1977.
24. Salahuddin and A. G. Hawkes, "Cross-validation in stepwise regression," Commun. Stat. Theory Methods, vol. 20, no. 4, pp. 1163-1182, 1991.
25. M. Hénon, "A two-dimensional mapping with a strange attractor," Commun. Math. Phys., vol. 50, no. 1, pp. 69-77, 1976.
26. W. Hardie, "Applied nonparametric regression," in Econometric Society Monographs. Cambridge, U.K.: Cambridge Univ. Press, 1990, vol. 19.
27. M. P. Wand and M.C. Jones, "Kernel Smoothing," in Monographs on Statistics and Applied Probability. London, U.K.: Chapman & Hall, 1995, vol. 60.
28. Z. Aleksic, "Estimating the embedding dimension," Physica D, vol. 52, pp. 362-368, 1991.
29. A. I. McLeod, "Diagnostic checking of periodic autoregression models with application,"/ Time Series Anal., vol. 15, no. 2, pp. 221-233, 1994.
30. C. Goutte and J. Larsen, "Adaptive metric kernel regression," in Proc. IEEE Workshop Neural Networks Signal Process. VIII, T. Constantinides, S.-Y. Kung, M. Niranjan, and E. Wilson, Eds. Piscataway, NJ, 1998, pp. 184-193.
31. C. Goutte, L. K. Hansen, R. Savoy, and S. C. Strother, "Delay analysis of fMRI time series," in Proc. 4th Int. Conf. Functional Mapping Human Brain, T. Paus, A. Gjedde, and A. Evans, Eds., 1998, pt. 2 of Neuro Image, vol. 4, p. S611.
32. K. J. Friston, P. Jezzard, and R. Turner, "Analysis of functional MRI time series," Human Brain Mapping, vol. 1, pp. 153-171, 1994.
33. N. Lange and S. L. Zeger, "Non-linear Fourier time series analysis for human brain mapping by functional magnetic resonance imaging," J. R. Stat. Soc. C, 1997.
34. F. Arup Nielsen, L. K. Hansen, P. Toft, C. Goutte, N. M0rch, C. Svarer, R. Savoy, B. Rosen, E. Rostrup, and P. Born, "Comparison of two convolution models for fMRI time series," in Proc. 3rd Int. Conf. Functional Mapping Human Brain, L. Friberg, A. Gjedde, S. Holm, N. A. Lassen, and M. Nowak, Eds., May 1997, pt. 2, vol. 3, p. S473.
35. P. A. Bandettini, A. Jesmanowicz, E. C. Wong, and J. S. Hyde, "Processing strategies for time-course data sets in functional MRI of the human brain," Magn. Reson. Med., vol. 30, no. 2, pp. 161-173, Aug. 1993.
36. H. Akaike, "A new look at the statistical model identification," IEEE Trans. Automat. Contr., vol. AC-19, pp. 716-723, Dec. 1974.
37. G. Schwartz, "Estimating the dimension of a model," J. Stat., vol. 6, no. 2, pp. 461-64, 1978.
38. C. K. I. Williams, "Prediction with Gaussian processes: From linear regression to linear prediction and beyond," Neural Comput. Res. Group, Aston Univ., UK, Tech. Rep. NCRG/97/012, 1997.
39. Y. Le Cun, J. S. Denker, and S. A. Solla, "Optimal brain damage," in Advances in Neural Information Processing Systems, D. S. Touretzky, Ed. San Francisco, CA: Morgan Kaufmann, 1990, pp. 598-605.
40. C. Goutte and L. K. Hansen, "Regularization with a pruning prior," Neural Networks, vol. 10, no. 6, pp. 1053-1059, 1997.