Model selection for identifying power-law scaling

NeuroImage
Robert Ton, Andreas Daffertshofer

Abstract

Long-range temporal and spatial correlations have been reported in a remarkable number of studies. In particular power-law scaling in neural activity raised considerable interest. We here provide a straightforward algorithm not only to quantify power-law scaling but to test it against alternatives using (Bayesian) model comparison. Our algorithm builds on the well-established detrended fluctuation analysis (DFA). After removing trends of a signal, we determine its mean squared fluctuations in consecutive intervals. In contrast to DFA we use the values per interval to approximate the distribution of these mean squared fluctuations. This allows for estimating the corresponding log-likelihood as a function of interval size without presuming the fluctuations to be normally distributed, as is the case in conventional DFA. We demonstrate the validity and robustness of our algorithm using a variety of simulated signals, ranging from scale-free fluctuations with known Hurst exponents, via more conventional dynamical systems resembling exponentially correlated fluctuations, to a toy model of neural mass activity. We also illustrate its use for encephalographic signals. We further discuss confounding factors like the finite signal size. ...Continue Reading

References

Feb 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C K PengA L Goldberger
Aug 1, 1994·Physical Review Letters·J J Collins, De Luca CJ
Oct 13, 2000·Physical Review Letters·A BundeK Voigt
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K HuH E Stanley
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhi ChenH Eugene Stanley
Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B Kaulakys, J Ruseckas
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhi ChenPlamen Ch Ivanov
Dec 17, 2009·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Woodrow L ShewDietmar Plenz
Dec 17, 2009·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Jason BouletAndré Longtin
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J Ruseckas, B Kaulakys
Apr 29, 2011·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Frank FreyerMichael Breakspear
Mar 16, 2012·Scientific Reports·R M Bryce, K B Sprague
May 26, 2012·The Neuroscientist : a Review Journal Bringing Neurobiology, Neurology and Psychiatry·Woodrow L Shew, Dietmar Plenz
Feb 13, 2013·Proceedings of the National Academy of Sciences of the United States of America·J Matias PalvaSatu Palva
May 9, 2014·Ecology·Ken AhoTeri Peterson
Mar 20, 2015·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Erik D FagerholmRobert Leech

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Citations

Jan 9, 2018·ELife·Michael SchirnerPetra Ritter
Oct 16, 2016·Physical Review. E·Rytis Kazakevičius, Julius Ruseckas

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