Published on Tue Apr 30 2013

From Ordinary Differential Equations to Structural Causal Models: the deterministic case

Joris M. Mooij, Dominik Janzing, Bernhard Schölkopf

The concept of causality as expressed within the framework of Structural Causal Models, especially for cyclic models. We show how, and under which conditions, the equilibrium states of a first-order Ordinary Differential Equation (ODE) system can be described with a SCM.

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Abstract

We show how, and under which conditions, the equilibrium states of a first-order Ordinary Differential Equation (ODE) system can be described with a deterministic Structural Causal Model (SCM). Our exposition sheds more light on the concept of causality as expressed within the framework of Structural Causal Models, especially for cyclic models.