“…Although magnitude-only fMRI data are extensively studied, fMRI data are initially acquired as complex-valued image pairs including magnitude and phase information Adali, 2012a, 2012b). Phase fMRI data contain useful and unique information such as blood oxygenation levels during functional activation (Hoogenraad et al, 1998;Arja et al, 2010), the effects of macro-and micro-vessels (Menon, 2002;Tomasi and Caparelli, 2007), and the orientation of large blood vessels (Klassen and Menon, 2005). Analysis of complex-valued fMRI data provides additional insights beyond magnitude-only fMRI data (Rowe, 2005;Adali and Calhoun, 2007;Adali, 2012a, 2012b;Rodriguez et al, 2011Rodriguez et al, , 2012Li et al, 2010Li et al, , 2011Yu et al, 2015).…”