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Programmatic Context Augmentation for LLM-based Symbolic Regression

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This paper proposes a novel LLM-based evolutionary search framework with programmatic context augmentation, enabling code-based interactions with datasets to extract rich information beyond scalar metrics, improving efficiency and accuracy in symbolic regression.

SourcearXiv AIAuthor: Hao Liu, Xiao-Wen Yang, Atharva Sehgal, Yixin Wang, Lan-Zhe Guo, Yu-Feng Li, Yisong Yue
Programmatic Context Augmentation for LLM-based Symbolic Regression
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[2605.03101] Programmatic Context Augmentation for LLM-based Symbolic Regression

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Computer Science > Artificial Intelligence

arXiv:2605.03101 (cs)

[Submitted on 4 May 2026]

Title:Programmatic Context Augmentation for LLM-based Symbolic Regression

Authors:Hao Liu, Xiao-Wen Yang, Atharva Sehgal, Yixin Wang, Lan-Zhe Guo, Yu-Feng Li, Yisong Yue

View a PDF of the paper titled Programmatic Context Augmentation for LLM-based Symbolic Regression, by Hao Liu and 6 other authors

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Abstract:Symbolic regression (SR), the task of discovering mathematical expressions that best describe a given dataset, remains a fundamental challenge in scientific discovery. Traditional approaches, primarily based on genetic algorithms and related evolutionary methods, have proven useful but suffer from scalability and expressivity limitations. Recently, large language model (LLM)-based evolutionary search methods have been introduced into SR and show promise. However, existing LLM-based approaches typically rely on scalar evaluation metrics, such as mean squared error, as the sole source of feedback during the search process, thereby overlooking the rich information embedded in the dataset. To address this limitation, we propose a novel LLM-based evolutionary search framework that incorporates programmatic context augmentation. By enabling code-based interactions with the dataset, our method can actively perform data analysis and extract informative signals, beyond aggregated evaluation scores. We evaluate our framework on advanced benchmarks, such as LLM-SRBench, and demonstrate superior efficiency and accuracy compared to strong baselines.

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Artificial Intelligence (cs.AI)

Cite as: arXiv:2605.03101 [cs.AI]

(or arXiv:2605.03101v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2605.03101

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arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Hao Liu [view email] [v1] Mon, 4 May 2026 19:34:03 UTC (815 KB)

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Key points and analysis

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Key points

  • Symbolic regression discovers mathematical expressions from data, key for science.
  • Existing LLM methods rely on scalar metrics like MSE, ignoring dataset richness.
  • New framework uses programmatic context augmentation for proactive data analysis.
  • Outperforms strong baselines on LLM-SRBench in efficiency and accuracy.

Highlights and analysis are generated automatically and may contain errors. Check the original source.

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