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SELF: Structural Equational Likelihood Framework for Causal Discovery

AAAI 2018 · Probabilistic and scientific modeling › Causal discovery · approach: Interventional causal discovery · 27 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add a parent node versus a non-parent node to a correct parent setSELF noise-entropy gap (Assumption 1) · Synthetic linear and nonlinear data, varied signal-to-noise ratioentropy gapHelped
increase the number of Markov equivalence edges in the random structuresSELF, LiNGAM, DLiNGAM · Synthetic linear data, 4000 samples, avg indegree 1.5F1No clear effect
increase the number of Markov equivalence edges in the random structuresHCBN (traditional likelihood-based hill climbing) · Synthetic linear data, 4000 samples, avg indegree 1.5F1Hurt
increase the number of Markov equivalence edges in the random structuresSELF versus MMPC-ANM · Synthetic nonlinear data, 4000 samples, avg indegree 1.5F1No clear effect
increase the sample size from 1000 up to 8000SELF and linear baselines · Synthetic linear data, 40 variables, avg indegree 1.5F1No clear effect
increase the number of variables from 20 to 60SELF versus LiNGAM/DLiNGAM · Synthetic linear data, 4000 samples, avg indegree 1.5F1Helped
increase the average indegree from 0.5 to 2.5SELF and HCBN versus LiNGAM and DLiNGAM · Synthetic linear data, 40 variables, 4000 samplesF1Mixed
increase the sample size from 2000 to 8000SELF (XGBoost-GBTree) · Synthetic nonlinear data, 40 variables, avg indegree 1.5F1Helped
use SELF instead of MMPC-ANM on nonlinear data across variables and indegreeStructure learning method · Synthetic nonlinear dataF1Helped
use SELF instead of LiNGAM, DLiNGAM and HCBN on real-world structuresStructure learning method · Child, Alarm, Win95pts, Pathfinder (linear and nonlinear data)recall, precision, F1Helped
increase the scale of the real-world structureSELF advantage over baselines · Real-world structuresF1Helped
compare precision gain with recall gain of SELF over baselinesSELF · Real-world structures, linear dataprecision vs recallHelped

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