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Sigma Separation for directed mixed graphs #120

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cthoyt opened this issue Nov 1, 2022 · 0 comments · Fixed by #150
Closed

Sigma Separation for directed mixed graphs #120

cthoyt opened this issue Nov 1, 2022 · 0 comments · Fixed by #150
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cthoyt commented Nov 1, 2022 •
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Sigma separation is a generalization of d-separation that works not only for directed acyclic graphs, but also for directed graphs containing cycles. It was originally introduced in

Constraint-based Causal Discovery for Non-Linear Structural Causal Models with Cycles and Latent Confounders
Forré and Mooij. 2019. arXiv:1807.03024

and is an integral part of the gID algorithm (see #72)

References/Notes
This was referenced Aug 7, 2023
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@cthoyt cthoyt changed the title Sigma Separation Sigma Separation for directed mixed graphs Aug 7, 2023
cthoyt added a commit that referenced this issue Aug 29, 2023
@cthoyt
Implement sigma-separation (#150)
92df010 
Closes #120

This PR adds a high-level interface and implements tests for
sigma-separation, a generalization of d-separation that works not only
for directed acyclic graphs, but also for directed graphs containing
cycles. It was originally introduced in

> Constraint-based Causal Discovery for Non-Linear Structural Causal
Models with Cycles and Latent Confounders
> Forré and Mooij. 2019.
[arXiv:1807.03024](https://arxiv.org/abs/1807.03024)

and is an integral part of cyclic ID algorithm (see
#71) and the gID
algorithm (see #72)

## References/Notes

-
https://stats.stackexchange.com/questions/586810/sigma-separation-question-in-cyclic-causal-graph-understanding-sigma-separatio
- Author's implementation: https://github.com/caus-am/sigmasep
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Implement sigma-separation y0-causal-inference/y0
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