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This study investigates using Large Language Models to automate the development of algorithms for optimizing tensor network contractions, specifically within the OpenEvolve framework. The research underscores that while verifier-guided agents show promise for improving code generation, rigorous human oversight remains essential for validation and interpretation in complex scientific computing tasks.
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Algorithmic algorithm development with LLMs: A Case Study on LLM-Usage for Contraction Order Optimization in Tensor Networks

arXiv1 min read

arXiv:2606.01975v2 Announce Type: replace Abstract: We consider LLM-based algorithm development through a case study on contractionorder optimisation for tensor networks with OpenEvolve. We pay particular attention to the choice of the LLM as well as design choices such as evaluation metric and test instances. Our results highlight both the promise of verifier-guided evolutionary coding agents for algorithm development/improvement and the continuing importance of evaluation, validation, and interpretation -- and corresponding challenges -- by the human scientist.

Abstract:We consider LLM-based algorithm development through a case study on contractionorder optimisation for tensor networks with OpenEvolve. We pay particular attention to the choice of the LLM as well as design choices such as evaluation metric and test instances. Our results highlight both the promise of verifier-guided evolutionary coding agents for algorithm development/improvement and the continuing importance of evaluation, validation, and interpretation -- and corresponding challenges -- by the human scientist.

Artificial Intelligence (cs.AI); Software Engineering (cs.SE)

arXiv:2606.01975 [cs.AI]

(or arXiv:2606.01975v2 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2606.01975 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 166 words

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