Before revision:  These algorithms all solve the challenges in fMRI by resorting to the same solution : they start from making clear statements of assumptions about neural data and existing domain knowledge, incorporating those assumptions and domain knowledge into probabilistic graphical models, and using those models to estimate properties of interest or latent structures in the data.
After revision:  These algorithms all solve the challenges in fMRI similarly : they start from making clear statements of assumptions about neural data and existing domain knowledge, incorporating those assumptions and domain knowledge into probabilistic graphical models, and using those models to estimate properties of interest or latent structures in the data.