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

Joris Mooij, Dominik Janzing, Bernhard Schoelkopf
Proceedings of the 29th Conference on Uncertainty in Artificial Intelligence, PMLR R11:540-548, 2013.

Abstract

We show how, and under which conditions, the equilibrium states of a first-order Ordi- nary 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 ex- pressed within the framework of Structural Causal Models, especially for cyclic models.

Cite this Paper

BibTeX
@InProceedings{pmlr-vR11-mooij13b, title = {From Ordinary Differential Equations to Structural Causal Models: the deterministic case}, author = {Mooij, Joris and Janzing, Dominik and Schoelkopf, Bernhard}, booktitle = {Proceedings of the 29th Conference on Uncertainty in Artificial Intelligence}, pages = {540--548}, year = {2013}, editor = {Nicholson, Ann and Smyth, Padhraic}, volume = {R11}, series = {Proceedings of Machine Learning Research}, month = {12--14 Jul}, publisher = {PMLR}, pdf = {https://raw.githubusercontent.com/mlresearch/r11/main/assets/mooij13b/mooij13b.pdf}, url = {https://proceedings.mlr.press/r11/mooij13b.html}, abstract = {We show how, and under which conditions, the equilibrium states of a first-order Ordi- nary 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 ex- pressed within the framework of Structural Causal Models, especially for cyclic models.}, note = {Reissued by PMLR on 04 October 2026.} }
Endnote
%0 Conference Paper %T From Ordinary Differential Equations to Structural Causal Models: the deterministic case %A Joris Mooij %A Dominik Janzing %A Bernhard Schoelkopf %B Proceedings of the 29th Conference on Uncertainty in Artificial Intelligence %C Proceedings of Machine Learning Research %D 2013 %E Ann Nicholson %E Padhraic Smyth %F pmlr-vR11-mooij13b %I PMLR %P 540--548 %U https://proceedings.mlr.press/r11/mooij13b.html %V R11 %X We show how, and under which conditions, the equilibrium states of a first-order Ordi- nary 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 ex- pressed within the framework of Structural Causal Models, especially for cyclic models. %Z Reissued by PMLR on 04 October 2026.
APA
Mooij, J., Janzing, D. & Schoelkopf, B.. (2013). From Ordinary Differential Equations to Structural Causal Models: the deterministic case. Proceedings of the 29th Conference on Uncertainty in Artificial Intelligence, in Proceedings of Machine Learning Research R11:540-548 Available from https://proceedings.mlr.press/r11/mooij13b.html. Reissued by PMLR on 04 October 2026.

Related Material