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Causality in Time Series - ClopiNet

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Causal analysis of fMRIK. Friston. Beyond phrenology: what can neuroimag<strong>in</strong>g tell us about distributed circuitry?Annu Rev Neurosci, 25:221–50, 2002.K. Friston. Dynamic causal model<strong>in</strong>g and granger causality comments on: The identificationof <strong>in</strong>teract<strong>in</strong>g networks <strong>in</strong> the bra<strong>in</strong> us<strong>in</strong>g fmri: Model selection, causalityand deconvolution. Neuroimage, 2009a.K. Friston, J. Mattout, N. Trujillo-Barreto, J. Ashburner, and W. Penny. Variational freeenergy and the laplace approximation. Neuroimage, 34(1):220–34, 2007.K. J. Friston, A. Mechelli, R. Turner, and C. J. Price. Nonl<strong>in</strong>ear responses <strong>in</strong> fmri:the balloon model, volterra kernels, and other hemodynamics. Neuroimage, 12(4):466–77, 2000.K. J. Friston, L. Harrison, and W. Penny. Dynamic causal modell<strong>in</strong>g. Neuroimage, 19(4):1273–302, 2003.K. J. Friston, N. Trujillo-Barreto, and J. Daunizeau. Dem: a variational treatment ofdynamic systems. Neuroimage, 41(3):849–85, 2008.Karl Friston. Hierarchical models <strong>in</strong> the bra<strong>in</strong>. PLoS Computational Biology, 4, 2008.Karl Friston. Causal modell<strong>in</strong>g and bra<strong>in</strong> connectivity <strong>in</strong> functional magnetic resonanceimag<strong>in</strong>g. PLoS biology, 7:e33, 2009b.Karl Friston, Klaas Stephan, Baojuan Li, and Jean Daunizeau. Generalised filter<strong>in</strong>g.Mathematical Problems <strong>in</strong> Eng<strong>in</strong>eer<strong>in</strong>g, 2010:1–35, 2010.J. F. Geweke. Measurement of l<strong>in</strong>ear dependence and feedback between multiple timeseries. journal of the American Statistical Association, 77(378):304–324, 1982.G. H. Glover. Deconvolution of impulse response <strong>in</strong> event-related bold fmri. Neuroimage,9(4):416–29, 1999.C. Glymour. Learn<strong>in</strong>g, prediction and causal bayes nets. Trends Cogn Sci, 7(1):43–48,2003.R. Goebel, A. Roebroeck, D. S. Kim, and E. Formisano. Investigat<strong>in</strong>g directed cortical<strong>in</strong>teractions <strong>in</strong> time-resolved fmri data us<strong>in</strong>g vector autoregressive model<strong>in</strong>g andgranger causality mapp<strong>in</strong>g. Magn Reson Imag<strong>in</strong>g, 21(10):1251–61, 2003.C. W. J. Granger. Investigat<strong>in</strong>g causal relations by econometric models and crossspectralmethods. Econometrica, 37(3):424–438, 1969.E.M. Haacke, R.W. Brown, M.R. Thompson, and R. Venkatesan. Magnetic ResonanceImag<strong>in</strong>g: Physical Pr<strong>in</strong>ciples and Sequence Design. John Wiley and Sons, Inc, NewYork, 1999.99

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