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LLM guides program evolution to break 10 circle-packing records

Researchers have developed a system called Discovery Loop that leverages large language models (LLMs) to iteratively improve optimization algorithms. This method starts with a basic solver and uses an LLM to propose modifications, which are then evaluated against a benchmark. The system successfully enhanced the best-known solutions for 10 specific instances of the Packomania circle-packing problem, achieving improvements of 2.4%-5.4% within 15 iterations and at a low LLM cost of $27.72. This approach demonstrates a potential for democratizing automated scientific discovery. AI

IMPACT Demonstrates a novel method for using LLMs to accelerate scientific discovery and optimize complex problems.

RANK_REASON The cluster describes a research paper detailing a novel method for using LLMs to improve optimization algorithms, which is a core research contribution.

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LLM guides program evolution to break 10 circle-packing records

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The cluster describes a research paper detailing a novel method for using LLMs to improve optimization algorithms, which is a core research contribution.
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COVERAGE [2]

  1. arXiv cs.AI TIER_1 English(EN) · Wes Sander ·

    LLM-Guided Program Evolution for Circle Packing: Breaking 10 Packomania Records for $28

    arXiv:2609.05093v1 Announce Type: new Abstract: We present Discovery Loop, a lightweight system that uses a large language model (LLM) to iteratively evolve optimization algorithms. Starting from a simple seed solver, the LLM proposes algorithmic improvements guided by a scoreboa…

  2. r/MachineLearning TIER_1 English(EN) · /u/SIGH_I_CALL ·

    LLM-guided program evolution improves 10 best-known circle-packing solutions (Packomania csqv, N=101-114) [R]

    <!-- SC_OFF --><div class="md"><p>I used an LLM to iteratively evolve an optimization algorithm rather than solve the packing directly. Starting from a simple seed solver, the LLM proposes algorithmic changes guided by a scoreboard of results and a history of prior attempts, and …