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Why LLMs Fail at Causal Discovery and How Interventional Agents Escape

This paper proves that large language models have a fundamental limitation in performing causal discovery: methods like supervised fine-tuning, direct preference optimization, and in-context learning cannot distinguish between causal graphs that generate similar observational data. The authors propose Agentic Causal Bayesian Optimization (A-CBO), where a frozen language model serves as an interventional oracle and an external Bayesian loop converges to candidate graphs in logarithmically many rounds. On Corr2Cause, A-CBO matches fine-tuned baselines without any training; on Extended Corr2Cause (scaling to 24 variables and 18K test samples), A-CBO significantly outperforms both fine-tuning and preference optimization.

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Key points

  • Proves that LLM failure in causal discovery is fundamental, due to a kernel obstruction theorem
  • Proposes A-CBO, combining a frozen LLM with external Bayesian optimization
  • Matches fine-tuned baselines on Corr2Cause without training; significantly outperforms on extended benchmark

Why it matters

This matters because proves that LLM failure in causal discovery is fundamental, due to a kernel obstruction theorem.

Technical impact

May affect model selection, inference cost, product capability, and evaluation benchmarks.

[2605.27567] Why LLMs Fail at Causal Discovery and How Interventional Agents Escape

[Submitted on 26 May 2026]

Title:Why LLMs Fail at Causal Discovery and How Interventional Agents Escape

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Abstract:Causal discovery is a cornerstone of scientific reasoning, yet whether large language models can perform it reliably remains an open question. Recent benchmarks show that even fine-tuned models plateau on simple causal graphs and degrade as complexity grows, but why they fail has not been established. We prove the failure is fundamental: supervised fine-tuning, direct preference optimization, and in-context learning all produce predictors that cannot distinguish between causal graphs generating similar observational data, and any attempt to do so requires the model's internal representations to grow unboundedly, violating the very conditions under which these methods work. We formalize this as a kernel obstruction theorem, establishing that the limitation is intrinsic to the learning paradigm, \emph{not any particular model or dataset}. We propose Agentic Causal Bayesian Optimization (A-CBO), wherein a frozen language model serves as an interventional oracle answering targeted queries about intervention effects, while an external Bayesian loop concentrates beliefs over candidate graphs in logarithmically many rounds. Because the decision operates outside the space where the obstruction applies, A-CBO provably converges while the underlying model remains unchanged. On Corr2Cause, A-CBO matches fine-tuned baselines without any training. On Extended Corr2Cause, a new benchmark scaling to 24 variables with 18K test samples, A-CBO significantly outperforms both fine-tuning and preference optimization, with the advantage growing

Comments: 9 pages, 3 figures

Subjects:

Artificial Intelligence (cs.AI); Computation and Language (cs.CL)

Cite as: arXiv:2605.27567 [cs.AI]

(or arXiv:2605.27567v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2605.27567

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Amartya Roy [view email] [v1] Tue, 26 May 2026 18:37:03 UTC (191 KB)

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