A statistical framework for neuroimaging data analysis based on mutual information estimated via a gaussian copula

Human Brain Mapping
Robin A A IncePhilippe G Schyns

Abstract

We begin by reviewing the statistical framework of information theory as applicable to neuroimaging data analysis. A major factor hindering wider adoption of this framework in neuroimaging is the difficulty of estimating information theoretic quantities in practice. We present a novel estimation technique that combines the statistical theory of copulas with the closed form solution for the entropy of Gaussian variables. This results in a general, computationally efficient, flexible, and robust multivariate statistical framework that provides effect sizes on a common meaningful scale, allows for unified treatment of discrete, continuous, unidimensional and multidimensional variables, and enables direct comparisons of representations from behavioral and brain responses across any recording modality. We validate the use of this estimate as a statistical test within a neuroimaging context, considering both discrete stimulus classes and continuous stimulus features. We also present examples of analyses facilitated by these developments, including application of multivariate analyses to MEG planar magnetic field gradients, and pairwise temporal interactions in evoked EEG responses. We show the benefit of considering the instantaneous...Continue Reading

References

May 26, 2017·The European Journal of Neuroscience·Guillaume A RousseletRand R Wilcox
Jun 25, 2017·Behavior Research Methods·Michael KruepkeEdelyn Verona
Nov 30, 2019·Human Brain Mapping·Katarzyna JaworskaGuillaume A Rousselet
Feb 28, 2020·Journal of Neural Engineering·Siti N MakhtarDavid M Halliday
Sep 25, 2019·Proceedings of the National Academy of Sciences of the United States of America·Shanshan QinYuhai Tu
Apr 16, 2019·Physical Review. E·Houman SafaaiStefano Panzeri
May 15, 2018·Brain Connectivity·Ranjit Arulnayagam Thuraisingham
Aug 28, 2020·PLoS Biology·Florian DestokyMathieu Bourguignon

Citations

Oct 20, 1975·Biochimica Et Biophysica Acta·B W Matthews
Sep 1, 1991·Electroencephalography and Clinical Neurophysiology·T InouyeM Hirano
Feb 1, 1990·British Journal of Urology·A P SeneR N Carroll
Jan 1, 1996·Journal of Cerebral Blood Flow and Metabolism : Official Journal of the International Society of Cerebral Blood Flow and Metabolism·A P HolmesI Ford
Nov 5, 1997·NeuroImage·K J FristonR J Dolan
Feb 1, 1986·Physical Review A: General Physics·A M Fraser, H L Swinney
Sep 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Y I MoonU Lall
Oct 20, 1999·Nature Neuroscience·A Borst, F E Theunissen
Jan 5, 2000·Human Brain Mapping·J P LachauxF J Varela
Jul 6, 2000·Clinical Neurophysiology : Official Journal of the International Federation of Clinical Neurophysiology·M C Bastiaansen, T R Knösche
Sep 16, 2000·Physical Review Letters·T Schreiber
Jul 13, 2001·Vision Research·Frédéric Gosselin, Philippe G Schyns
Dec 18, 2001·Human Brain Mapping·Thomas E Nichols, Andrew P Holmes
Dec 26, 2001·Science·D S ReichJonathan D Victor
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jonathan D Victor
Sep 2, 2003·NeuroImage·K J FristonW D Penny
Dec 15, 1956·Journal of the American Medical Association·I B WEXLER, A S WIENER
Jun 29, 2004·NeuroImage·W D PennyK J Friston
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexander KraskovPeter Grassberger
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ilya NemenmanRob R de Ruyter van Steveninck
Oct 16, 2004·Psychological Science·Marie L SmithPhilippe G Schyns
Apr 2, 2005·Nature Reviews. Neuroscience·Alfons Schnitzler, Joachim Gross
May 20, 2005·Neural Computation·Matthew B KennelE J Chichilnisky
Aug 27, 2005·IEEE Transactions on Pattern Analysis and Machine Intelligence·Hanchuan PengChris Ding
Sep 6, 2005·Current Opinion in Neurobiology·Jonathan D Victor
Feb 8, 2006·Physiological Measurement·D AbásoloJ Poza
Mar 16, 2006·Proceedings of the National Academy of Sciences of the United States of America·Nikolaus KriegeskortePeter Bandettini
Feb 16, 2007·Hearing Research·Israel Nelken, Gal Chechik
May 23, 2007·Journal of Neuroscience Methods·Eric Maris, Robert Oostenveld
May 25, 2007·Neural Computation·Jonathon ShlensE J Chichilnisky
Jul 7, 2007·Journal of Neurophysiology·Stefano PanzeriRasmus S Petersen
Sep 7, 2007·NeuroImage·Nikolaus Kriegeskorte, Peter Bandettini
Sep 22, 2007·Neural Computation·Marcelo A MontemurroStefano Panzeri
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shiraj KhanGeorge Ostrouchov
Oct 26, 2007·PLoS Biology·Tobias OverathTimothy D Griffiths
Mar 29, 2008·PLoS Computational Biology·Ilya NemenmanRob R de Ruyter van Steveninck
May 20, 2008·Magnetic Resonance Imaging·Stefano PanzeriNikos K Logothetis
Dec 17, 2008·Trends in Cognitive Sciences·Philippe G SchynsMarie L Smith
Feb 21, 2009·Nature Reviews. Neuroscience·Rodrigo Quian Quiroga, Stefano Panzeri
Jun 16, 2009·Behavior Genetics·T Mark BeasleyDavid B Allison
Jan 1, 2006·Biological Theory·Jonathan D Victor

Related Concepts

In Silico
Diagnostic Radiology Modality
Electroencephalography
Copula
Brain
Statistical Test
Normal Statistical Distribution
Term Source
Genetic Vectors
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