Measuring randomness by leave-one-out prediction error. Analysis of EEG after painful stimulation

Physica A: Statistical Mechanics and its Applications

Volumn 365, Issue 2, 2006, Pages 491-498

  Ancona, N ^a   Angelini, L ^b,c   De Tommaso, M ^b   Marinazzo, D ^b,c   Nitti, L ^b,c   Pellicoro, M ^b,c   Stramaglia, S ^b,c  

^a INSTITUTE OF INTELLIGENT SYSTEMS FOR AUTOMATION   (Italy)

^b UNIVERSITY OF BARI   (Italy)

^c INFN SEZIONE DI BARI   (Italy)

Author keywords

EEG analysis; Predictability; Randomness

Indexed keywords

ELECTROENCEPHALOGRAPHY; ERROR ANALYSIS; HOSPITAL DATA PROCESSING; LEAST SQUARES APPROXIMATIONS; PATIENT TREATMENT; PROBABILITY; STATISTICAL MECHANICS; TIME SERIES ANALYSIS;

EEG ANALYSIS; LEAVE-ONE-OUT PREDICTION ERROR; PAINFUL STIMULATION; PREDICTABILITY; RANDOMNESS;

RANDOM PROCESSES;

EID: 33646103655     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.09.065     Document Type: Article

References (25)

1. Richman J.S., and Moorman J.R. Physiological time-series analysis using approximate entropy and sample entropy. Am. J. Physiol. 278 (2000) H2039-H2049
2. Goldberger A.L., Peng C.K., and Lipsitz L.A. What is physiological complexity and how does it change with aging and disease?. Neurobiol. Aging 23 (2002) 23-26
3. Rosso O.A., and Mairal M.L. Characterization of time dynamical evolution of electroencephalographic records. Physica A 312 (2002) 469-504
4. Rosso O.A., Hyslop W., Gerlach R., Smith R.L.L., Rostas J.A.P., and Hunter M. Quantitative EEG analysis of the maturational changes associated with childhood absence epilepsy. Physica A 356 (2005) 184-189
5. Costa M., Goldberger A.L., and Peng C.K. Multiscale entropy analysis of complex physiological time series. Phys. Rev. Lett. 89 (2002) 68102-68105
6. Eckmann J.P., and Ruelle D. Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57 (1985) 617-656
7. Grassberger P., and Procaccia I. Estimation of the Kolmogorov entropy from a chaotic signal. Phys. Rev. A 28 (1983) 2591-2593
8. Pincus S.M. Assessing serial irregularity and its implications for health. Ann. N.Y. Acad. Sci. 954 (2001) 245-267
9. Rosso O.A., Blanco S., Yordanova J., Kolev V., Figliola A., Basar E., and Schürmann M. Wavelet entropy: a new tool for the analysis of short duration brain electrical signals. J. Neurosci. Methods 105 (2001) 65-75
10. Vapnik V. Statistical Learning Theory (1998), Wiley, New York
11. Ancona N., Maestri R., Marinazzo D., Nitti L., Pellicoro M., Pinna G.D., and Stramaglia S. Leave-one-out prediction error of systolic arterial pressure time series under paced breathing. Physiol. Meas. 26 (2005) 363-372
12. Pfurtscheller G., and Lopes da Silva F.H. Event-related EEG/MEG synchronization and desynchronization: basic principles. Clin. Neurophysiol. 110 11 (1999) 1842-1857
13. Kakigi R., Inui K., Tran D.T., Qiu Y., Wang X., Watanabe S., and Hoshiyama M. Human brain processing and central mechanisms of pain as observed by electro- and magneto-encephalography. J. Chin. Med. Assoc. 67 8 (2004) 377-386
14. Grassberger P. In: Atmanspacher H., and Scheingraber H. (Eds). Information Dynamics (1991), Plenum, NY 15
15. Yaneer B.Y. Dynamics of Complex Systems (1997), Addison Wesley, Reading, Massachussets
16. Feldman D.P., and Crutchfield J. Measures of statistical complexity: why?. Phys. Lett. A 238 (1998) 244-252
17. Lopez-Ruiz R., Mancini H.L., and Calbet X. A statistical measure of complexity. Phys. Lett. A 209 (1995) 321-326
18. Shiner J.S., Davison M., and Landsberg P.T. Simple measure for complexity. Phys. Rev. E 59 (1999) 1459-1464
19. Lamberti P.W., Martin M.T., Plastino A., and Rosso O.A. Intensive entropic non-triviality measure. Physica A 334 (2004) 119-131
20. N. Ancona, S. Stramaglia, An invariance property of kernel based predictors, cond-mat/0502511, Neural Comput., 2005, in press.
21. Kantz H., and Schreiber T. Nonlinear Time Series Analysis (1997), Cambridge University Press, Cambridge
22. 1/f noise is generated as follows: we start with uniformly distributed white noise, calculate the fast fourier transform (FFT), and after imposing a 1/f distribution on the power spectrum, we calculate the inverse FFT.
23. Headache Classification Subcommittee of the International Headache Society. The International Classification of Headache Disorders, second ed. Cephalalgia, vol. 24, Supplement 1, 2004, pp. 1-159.
24. Dawson G.D. Cerebral responses to nerve stimulation in man. Br. Med. Bull. 6 (1950) 326-329
25. Ohara S., Crone N.E., Weiss N., and Lenz F.A. Attention to a painful cutaneous laser stimulation modulates electrocorticographic event-related desynchronization in humans. Clin. Neurophysiol. 115 (2004) 1641-1652