“…Approaches estimating the effective connectivity generally start with sets of assumptions on the inherent data structure (time series, correlation matrix or higher-order statistics) or underlying biophysics to be modeled, then seek the optimum models using criteria such as maximum likelihoods or Bayesian inferences, and finally invoke the learned model parameters to conclude causality or conditional dependences. The most common approaches include dynamic causal modeling (DCM) (Friston, Harrison et al 2003, Penny, Stephan et al 2004, Lee, Friston et al 2006, Stephan, Weiskopf et al 2007, Marreiros, Kiebel et al 2008, Stephan, Kasper et al 2008, Penny, Stephan et al 2010, Schuyler, Ollinger et al 2010, Seghier, Zeidman et al 2010, Stephan, Penny et al 2010, Daunizeau, David et al 2011, Friston, Li et al 2011, Li, Daunizeau et al 2011, Lohmann, Erfurth et al 2012, Friston, Kahan et al 2014), Granger causality analysis (Granger 1969, Goebel, Roebroeck et al 2003, Harrison, Penny et al 2003, Roebroeck, Formisano et al 2005, Deshpande, LaConte et al 2009), structural equation modeling (SEM) (McIntosh 1994, Buchel and Friston 1997, Horwitz, Tagamets et al 1999, Bullmore, Horwitz et al 2000), psychophysiological interaction (Friston, Buechel et al 1997), graphical causal modeling (Pearl 2000, Spirtes 2000), dynamic Bayesian networks (Rajapakse and Zhou 2007), and switching linear dynamic system (Smith, Pillai et al 2010); and have been actively employed in clinical studies to identify abnormal interactions in patients (e.g., Alzheimer’s disease (Agosta, Rocca et al 2010, Rytsar, Fornari et al 2011, Liu, Zhang et al 2012, Neufang, Akhrif et al 2014, Zhong, Huang et al 2014), depression (Schlosser, Wagner et al 2008, Almeida, Versace et al 2009, Goulden, McKie et al 2010, Moses-Kolko, Perlman et al 2010, Hamilton, Chen et al 2011, Iwabuchi, Peng et al 2014, Liu, Wu et al 2015), and schizophrenia (Schlosser, Gesierich et al 2003, Kim, Burge et al 2008, Benetti, Mechelli et al 2009, Crossley, Mechelli et al 2009, Dima, Roiser et al 2009, Allen, Stephan et al 2010, Diaconescu, Jensen et al 2011, Deserno, Sterzer et al 2012, Guller, Tononi et al 2012, Muk...…”