The Robustness of Differentiable Causal Discovery in Misspecified Scenarios

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Main Authors: Yi, Huiyang, He, Yanyan, Chen, Duxin, Kang, Mingyu, Wang, He, Yu, Wenwu
Format: Preprint
Published: 2025
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_version_ 1866918160315187200
author Yi, Huiyang
He, Yanyan
Chen, Duxin
Kang, Mingyu
Wang, He
Yu, Wenwu
author_facet Yi, Huiyang
He, Yanyan
Chen, Duxin
Kang, Mingyu
Wang, He
Yu, Wenwu
contents Causal discovery aims to learn causal relationships between variables from targeted data, making it a fundamental task in machine learning. However, causal discovery algorithms often rely on unverifiable causal assumptions, which are usually difficult to satisfy in real-world data, thereby limiting the broad application of causal discovery in practical scenarios. Inspired by these considerations, this work extensively benchmarks the empirical performance of various mainstream causal discovery algorithms, which assume i.i.d. data, under eight model assumption violations. Our experimental results show that differentiable causal discovery methods exhibit robustness under the metrics of Structural Hamming Distance and Structural Intervention Distance of the inferred graphs in commonly used challenging scenarios, except for scale variation. We also provide the theoretical explanations for the performance of differentiable causal discovery methods. Finally, our work aims to comprehensively benchmark the performance of recent differentiable causal discovery methods under model assumption violations, and provide the standard for reasonable evaluation of causal discovery, as well as to further promote its application in real-world scenarios.
format Preprint
id arxiv_https___arxiv_org_abs_2510_12503
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Robustness of Differentiable Causal Discovery in Misspecified Scenarios
Yi, Huiyang
He, Yanyan
Chen, Duxin
Kang, Mingyu
Wang, He
Yu, Wenwu
Machine Learning
Artificial Intelligence
Methodology
Causal discovery aims to learn causal relationships between variables from targeted data, making it a fundamental task in machine learning. However, causal discovery algorithms often rely on unverifiable causal assumptions, which are usually difficult to satisfy in real-world data, thereby limiting the broad application of causal discovery in practical scenarios. Inspired by these considerations, this work extensively benchmarks the empirical performance of various mainstream causal discovery algorithms, which assume i.i.d. data, under eight model assumption violations. Our experimental results show that differentiable causal discovery methods exhibit robustness under the metrics of Structural Hamming Distance and Structural Intervention Distance of the inferred graphs in commonly used challenging scenarios, except for scale variation. We also provide the theoretical explanations for the performance of differentiable causal discovery methods. Finally, our work aims to comprehensively benchmark the performance of recent differentiable causal discovery methods under model assumption violations, and provide the standard for reasonable evaluation of causal discovery, as well as to further promote its application in real-world scenarios.
title The Robustness of Differentiable Causal Discovery in Misspecified Scenarios
topic Machine Learning
Artificial Intelligence
Methodology
url https://arxiv.org/abs/2510.12503