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Cyclic Causal Discovery from Continuous Equilibrium Data
Proceedings of the 29th Conference on Uncertainty in Artificial Intelligence, PMLR R11:175-183, 2013.
Abstract
We propose a method for learning cyclic causal models from a combination of obser- vational and interventional equilibrium data. Novel aspects of the proposed method are its ability to work with continuous data (without assuming linearity) and to deal with feedback loops. Within the context of biochemical re- actions, we also propose a novel way of mod- eling interventions that modify the activity of compounds instead of their abundance. For computational reasons, we approximate the nonlinear causal mechanisms by (coupled) lo- cal linearizations, one for each experimental condition. We apply the method to recon- struct a cellular signaling network from the flow cytometry data measured by Sachs et al. (2005). We show that our method finds evi- dence in the data for feedback loops and that it gives a more accurate quantitative descrip- tion of the data at comparable model com- plexity.