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The main approach to defining equivalence among acyclic directed causal graphical models is based on the conditional independence relationships in the distributions that the causal models can generate, in terms of the Markov equivalence.
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https://openfmri.org/dataset/ds000031/, 2015
Poldrack, R., Laumann, T., Koyejo, O., Gregory, B., Hover, A., Chen, M., Luci, J., Joo, S., Handwerker, D., Liang, J., Boyd, R., Hunicke-Smith, S., Simpson, Z., Caven, T., Sochat, V., Shine, J., Gordon, E., Snyder, A., Adeyemo, B., and … Mumford, J · 2015
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Zhang, K., Huang, B., Zhang, J., Glymour, C., and Schölkopf, B · 2017
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Learning directed acyclic graph models based on sparsest permutations
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A constraint-based algorithm for causal discovery with cycles, latent variables and selection bias
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