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Causal Discovery with Reinforcement Learning

ICLR 2020 · Reinforcement learning › Visual and representation RL · approach: RL with tree search for discovery · 109 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use RL search with BIC rather than GES with BICcausal discovery on LiNGAM and linear-Gaussian data · 12-node LiNGAM and linear-GaussianSHD: 32.8\,$\pm$\,2.93 -> 17.4\,$\pm$\,7.50 (LiNGAM); 33.2\,$\pm$\,2.48 -> 22.2\,$\pm$\,6.34 (linear-Gaussian)Helped
use the equal-noise-variance BIC variant RL-BIC2 instead of RL-BICRL causal discovery · 12-node LiNGAM and linear-GaussianSHD: 17.4\,$\pm$\,7.50 -> 0\,$\pm$\,0 (LiNGAM); 22.2\,$\pm$\,6.34 -> 0\,$\pm$\,0 (linear-Gaussian)Helped
apply RL-BIC2 instead of NOTEARScausal discovery · quadratic nonlinear modelSHD: 14.8\,$\pm$\,3.37 -> ~~0.6\,$\pm$\,1.20Helped
apply RL-BIC instead of GraN-DAGcausal discovery · Gaussian-process nonlinear modelSHD: 10.2\,$\pm$\,2.39 -> ~~6.2\,$\pm$\,1.33Helped
replace the single layer decoder with a bilinear decoder (ablation)RL graph generator · Linear-Gaussian, 12-nodeSHD: 0\,$\pm$\,0 -> ~~4.0\,$\pm$\,7.04Hurt
replace the single layer decoder with an NTN decoder (ablation)RL graph generator · Linear-Gaussian, 12-nodeSHD: 0\,$\pm$\,0 -> ~~7.4\,$\pm$\,8.52Hurt
replace the single layer decoder with a Transformer decoder (ablation)RL graph generator · Linear-Gaussian, 12-nodeSHD: 0\,$\pm$\,0 -> ~38.2\,$\pm$\,3.12Hurt
add quadratic regression-based pruning (ablation)NOTEARS estimates · Quadratic nonlinear modelFDR: 0.35\,$\pm$\,0.06 -> 0.15\,$\pm$\,0.10Helped
add quadratic regression-based pruning (ablation)NOTEARS estimates · Quadratic nonlinear modelTPR: 0.71\,$\pm$\,0.16 -> 0.70\,$\pm$\,0.15No clear effect
use NOTEARS-3 with quadratic causal functions rather than ordinary NOTEARS (ablation)NOTEARS · Quadratic nonlinear modelSHD: 14.8\,$\pm$\,3.37 -> ~~5.2\,$\pm$\,5.19Helped
use RL-BIC2 rather than RL-BIC with differing noise variancesRL causal discovery · 12-node LiNGAM and linear-GaussianSHD: 14.4\,$\pm$\,7.17 -> ~~4.0\,$\pm$\,2.61 (LiNGAM); 18.8\,$\pm$\,3.43 -> ~~4.6\,$\pm$\,3.07 (linear-Gaussian)Helped

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