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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).
Structural Equations with Latent Variables
Bollen, K. A. (1989) · 1989
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Directed cyclic graphical representations of feedback models
Spirtes, P. (1995) · 1995
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Markov properties of nonrecursive causal models
Koster, J. T. A. (1996) · 1996
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Graphical models
Lauritzen, S. (1996) · 1996
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Identifying independence in causal graphs with feedback
Pearl, J. and Dechter, R. (1996) · 1996
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A discovery algorithm for directed cyclic graphs
Richardson, T. (1996) · 1996
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On deducing conditional independence from d -separation in causal graphs with feedback
Neal, R. (2000) · 2000
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Causality
Pearl, J. (2000) · 2000
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Causation, prediction, and search
Spirtes, P., Glymour, C., and Scheines, R. (1993) · 2000
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Mathematical Biology. I: An Introduction
Murray, J. (2002) · 2002
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Restructuring dynamic causal systems in equilibrium
Dash, D. (2005) · 2005
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Discovering cyclic causal models by independent components analysis
Lacerda, G., Spirtes, P., Ramsey, J., and Hoyer, P. O. (2008) · 2008
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Modeling discrete interventional data using directed cyclic graphical models
Schmidt, M. and Murphy, K. (2009) · 2009
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Structure learning in causal cyclic networks
Itani, S., Ohannessian, M., Sachs, K., Nolan, G. P., and Dahleh, M. A. (2010) · 2010
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On causal discovery with cyclic additive noise models
Mooij, J. M., Janzing, D., Heskes, T., and Schölkopf, B. (2011) · 2011
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Learning linear cyclic causal models with latent variables
Hyttinen, A., Eberhardt, F., and Hoyer, P. (2012) · 2012
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