Linear-LLM-SCM: Benchmarking LLMs for Coefficient Elicitation in Linear-Gaussian Causal Models

Fuente: arXiv
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Auteurs principaux: Yamaoka, Kanta, Mukherjee, Sumantrak, Gärtner, Thomas, Selby, David Antony, Konigorski, Stefan, Hüllermeier, Eyke, Bengs, Viktor, Vollmer, Sebastian Josef
Format: Preprint
Publié: 2026
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author Yamaoka, Kanta
Mukherjee, Sumantrak
Gärtner, Thomas
Selby, David Antony
Konigorski, Stefan
Hüllermeier, Eyke
Bengs, Viktor
Vollmer, Sebastian Josef
author_facet Yamaoka, Kanta
Mukherjee, Sumantrak
Gärtner, Thomas
Selby, David Antony
Konigorski, Stefan
Hüllermeier, Eyke
Bengs, Viktor
Vollmer, Sebastian Josef
contents Large language models (LLMs) have shown potential in identifying qualitative causal relations, but their ability to perform quantitative causal reasoning -- estimating effect sizes that parametrize functional relationships -- remains underexplored in continuous domains. We introduce Linear-LLM-SCM, a plug-and-play benchmarking framework for evaluating LLMs on linear Gaussian structural causal model (SCM) parametrization when the DAG is given. The framework decomposes a DAG into local parent-child sets and prompts an LLM to produce a regression-style structural equation per node, which is aggregated and compared against available ground-truth parameters. Our experiments show several challenges in such benchmarking tasks, namely, strong stochasticity in the results in some of the models and susceptibility to DAG misspecification via spurious edges in the continuous domains. Across models, we observe substantial variability in coefficient estimates for some settings and sensitivity to structural and semantic perturbations, highlighting current limitations of LLMs as quantitative causal parameterizers. We also open-sourced the benchmarking framework so that researchers can utilize their DAGs and any off-the-shelf LLMs plug-and-play for evaluation in their domains effortlessly.
format Preprint
id arxiv_https___arxiv_org_abs_2602_10282
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Linear-LLM-SCM: Benchmarking LLMs for Coefficient Elicitation in Linear-Gaussian Causal Models
Yamaoka, Kanta
Mukherjee, Sumantrak
Gärtner, Thomas
Selby, David Antony
Konigorski, Stefan
Hüllermeier, Eyke
Bengs, Viktor
Vollmer, Sebastian Josef
Machine Learning
Large language models (LLMs) have shown potential in identifying qualitative causal relations, but their ability to perform quantitative causal reasoning -- estimating effect sizes that parametrize functional relationships -- remains underexplored in continuous domains. We introduce Linear-LLM-SCM, a plug-and-play benchmarking framework for evaluating LLMs on linear Gaussian structural causal model (SCM) parametrization when the DAG is given. The framework decomposes a DAG into local parent-child sets and prompts an LLM to produce a regression-style structural equation per node, which is aggregated and compared against available ground-truth parameters. Our experiments show several challenges in such benchmarking tasks, namely, strong stochasticity in the results in some of the models and susceptibility to DAG misspecification via spurious edges in the continuous domains. Across models, we observe substantial variability in coefficient estimates for some settings and sensitivity to structural and semantic perturbations, highlighting current limitations of LLMs as quantitative causal parameterizers. We also open-sourced the benchmarking framework so that researchers can utilize their DAGs and any off-the-shelf LLMs plug-and-play for evaluation in their domains effortlessly.
title Linear-LLM-SCM: Benchmarking LLMs for Coefficient Elicitation in Linear-Gaussian Causal Models
topic Machine Learning
url https://arxiv.org/abs/2602.10282