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2018 | OriginalPaper | Buchkapitel

Multifractal Detrended Fluctuation Analysis of Eye-Tracking Data

verfasst von : M. L. Freije, A. A. Jimenez Gandica, J. I. Specht, G. Gasaneo, C. A. Delrieux, B. Stošic, T. Stošic, R. de Luis-Garcia

Erschienen in: VipIMAGE 2017

Verlag: Springer International Publishing

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Abstract

In this contribution, we perform detrended fluctuation analysis on eye movement data obtained using an eye tracker with different experimentation subjects performing a set of distinct cognitive tasks. We define three different paradigms: spotting differences among two similar pictures, answering questions in a multiple choice questionnaire, and performing the Trail Making Test to measure subject attention. Using multifractal detrended fluctuation analysis (MDFA) we evaluate the Hurst exponent, the multifractal spectrum and correlation coefficient of the subjects’ eye movements under these different cognitive tasks. Under these paradigms, the MDFA presents a characteristic \(f(\alpha )\) spectrum, showing that the organizational structure of the data reflects the ocular activities of the subjects under the different tasks. An interpretation of the MDFA spectrum features provides insights on the internal cognitive strategies deployed in each of the paradigms.

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Literatur
1.
Zurück zum Zitat Martinez-Conde, S., Macknik, S.L.: Fixational eye movements across vertebrates: comparative dynamics, physiology, and perception. J. Vis. 8, 1 (2008) Martinez-Conde, S., Macknik, S.L.: Fixational eye movements across vertebrates: comparative dynamics, physiology, and perception. J. Vis. 8, 1 (2008)
2.
Zurück zum Zitat Muzy, J.F., Bacry, E., Arneodo, A.: Wavelets and multifractal formalism for singular signals: application to turbulence data. Phys. Rev. Lett. 67, 3515 (1991)CrossRef Muzy, J.F., Bacry, E., Arneodo, A.: Wavelets and multifractal formalism for singular signals: application to turbulence data. Phys. Rev. Lett. 67, 3515 (1991)CrossRef
3.
Zurück zum Zitat Kantelhardt, J.W., Zschiegner, S.A., Koscielny-Bunde, E., Havlin, S., Bunde, A., Stanley, H.E.: Multifractal detrended fluctuation analysis of nonstationary time series. Phys. A 316, 114 (2002)CrossRefMATH Kantelhardt, J.W., Zschiegner, S.A., Koscielny-Bunde, E., Havlin, S., Bunde, A., Stanley, H.E.: Multifractal detrended fluctuation analysis of nonstationary time series. Phys. A 316, 114 (2002)CrossRefMATH
4.
Zurück zum Zitat Peng, C.-K., Buldyrev, S.V., Havlin, S., Simons, M., Stanley, H.E., Goldberger, A.L.: Mosaic organization of DNA nucleotides. Phys. Rev. E 49, 1685 (1994)CrossRef Peng, C.-K., Buldyrev, S.V., Havlin, S., Simons, M., Stanley, H.E., Goldberger, A.L.: Mosaic organization of DNA nucleotides. Phys. Rev. E 49, 1685 (1994)CrossRef
5.
Zurück zum Zitat Taqqu, M.S., Teverovsky, V., Willinger, W.: Estimators for long range dependence: an empirical study. Fractals 3, 785 (1995)CrossRefMATH Taqqu, M.S., Teverovsky, V., Willinger, W.: Estimators for long range dependence: an empirical study. Fractals 3, 785 (1995)CrossRefMATH
6.
Zurück zum Zitat Peng, C.-K., Havlin, S., Stanley, H.E., Goldberger, A.L.: Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos 5, 82 (1995)CrossRef Peng, C.-K., Havlin, S., Stanley, H.E., Goldberger, A.L.: Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos 5, 82 (1995)CrossRef
7.
Zurück zum Zitat Blesic, S., Milosevic, S., Stratimirovic, D., Ljubisavljevic, M.: Detrended fluctuation analysis of time series of a firing fusimotor neuron. Phys. A: Stat. Mech. Appl. 268, 275 (1999)CrossRef Blesic, S., Milosevic, S., Stratimirovic, D., Ljubisavljevic, M.: Detrended fluctuation analysis of time series of a firing fusimotor neuron. Phys. A: Stat. Mech. Appl. 268, 275 (1999)CrossRef
8.
Zurück zum Zitat Hausdor, J.M., Mitchell, S.L., Firtion, R., Peng, C.-K., Cudkowicz, M.E., Wei, J.Y., Goldberger, A.L.: Altered fractal dynamics of gait: reduced stride-interval correlations with aging and Huntington’s disease. J. Appl. Physiol. 82, 262 (1997) Hausdor, J.M., Mitchell, S.L., Firtion, R., Peng, C.-K., Cudkowicz, M.E., Wei, J.Y., Goldberger, A.L.: Altered fractal dynamics of gait: reduced stride-interval correlations with aging and Huntington’s disease. J. Appl. Physiol. 82, 262 (1997)
9.
Zurück zum Zitat Dutta, S.: Multifractal properties of ECG patterns of patients suffering from congestive heart failure. J. Stat. Mech. Theor. Exper. 12, P12021 (2010)CrossRef Dutta, S.: Multifractal properties of ECG patterns of patients suffering from congestive heart failure. J. Stat. Mech. Theor. Exper. 12, P12021 (2010)CrossRef
10.
Zurück zum Zitat Credidio, H.F., Teixeira, E.N., Reis, S.D.S., Moreira, A.A., Andrade, J.S.: Statistical patterns of visual search for hidden objects. Quant. Biol. 2, 920 (2012) Credidio, H.F., Teixeira, E.N., Reis, S.D.S., Moreira, A.A., Andrade, J.S.: Statistical patterns of visual search for hidden objects. Quant. Biol. 2, 920 (2012)
11.
Zurück zum Zitat Little, M., McSharry, P., Moroz, I., Roberts, S.: Nonlinear, biophysically-informed speech pathology detection. In: Proceeding of ICASSP. IEEE (2006) Little, M., McSharry, P., Moroz, I., Roberts, S.: Nonlinear, biophysically-informed speech pathology detection. In: Proceeding of ICASSP. IEEE (2006)
12.
Zurück zum Zitat Gu, G.F., Zhou, W.-X.: Detrending moving average algorithm for multifractals. Phys. Rev. E 82, 011136 (2010)CrossRef Gu, G.F., Zhou, W.-X.: Detrending moving average algorithm for multifractals. Phys. Rev. E 82, 011136 (2010)CrossRef
13.
Zurück zum Zitat Carpenter, R.H.S.: The neural control of looking. Current Biol. 10, R291 (2000)CrossRef Carpenter, R.H.S.: The neural control of looking. Current Biol. 10, R291 (2000)CrossRef
14.
Zurück zum Zitat Shimizu, Y., Thurner, S., Ehrenberger, K.: Multifractal spectra as a measure of complexity in human posture. Fractals 10, 103 (2002)CrossRef Shimizu, Y., Thurner, S., Ehrenberger, K.: Multifractal spectra as a measure of complexity in human posture. Fractals 10, 103 (2002)CrossRef
15.
Zurück zum Zitat Otero-Millan, J., Troncoso, X.G., Macknik, S.L., Serrano-Pedraza, I., Martinez-Conde, S.: Saccades and microsaccades during visual fixation, exploration, and search: foundations for a common saccadic generator. J. Vis. 8(14), 1–18 (2008)CrossRef Otero-Millan, J., Troncoso, X.G., Macknik, S.L., Serrano-Pedraza, I., Martinez-Conde, S.: Saccades and microsaccades during visual fixation, exploration, and search: foundations for a common saccadic generator. J. Vis. 8(14), 1–18 (2008)CrossRef
16.
Zurück zum Zitat diSessa, A.A.: Knowledge in pieces. In: Forman, G., Pufall, P. (eds.) Constructivism in the Computer Age, vol. 49. Erlbaum, Hillsdale, NJ (1988) diSessa, A.A.: Knowledge in pieces. In: Forman, G., Pufall, P. (eds.) Constructivism in the Computer Age, vol. 49. Erlbaum, Hillsdale, NJ (1988)
17.
Zurück zum Zitat Arnett, J.A., Labovitz, S.S.: Effect of physical layout in performance of the trail making test. Psychol. Assess. 7(2), 220 (1995)CrossRef Arnett, J.A., Labovitz, S.S.: Effect of physical layout in performance of the trail making test. Psychol. Assess. 7(2), 220 (1995)CrossRef
18.
Zurück zum Zitat Ferri, G.L., Savio, M.F.R., Plastino, A.: Tsallis’ q-tri plet and the ozone layer. Phys. A 389, 1829 (2010)CrossRef Ferri, G.L., Savio, M.F.R., Plastino, A.: Tsallis’ q-tri plet and the ozone layer. Phys. A 389, 1829 (2010)CrossRef
19.
Zurück zum Zitat Jimenez Gandica, A.A., Freije, M.L., Gasaneo, G., Delrieux, C.A., Stošic, B., Stošic, T.: Phys. A, (2017, Submitted) Jimenez Gandica, A.A., Freije, M.L., Gasaneo, G., Delrieux, C.A., Stošic, B., Stošic, T.: Phys. A, (2017, Submitted)
Metadaten
Titel
Multifractal Detrended Fluctuation Analysis of Eye-Tracking Data
verfasst von
M. L. Freije
A. A. Jimenez Gandica
J. I. Specht
G. Gasaneo
C. A. Delrieux
B. Stošic
T. Stošic
R. de Luis-Garcia
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-68195-5_52

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