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Flow-of-Options: Diversified and Improved LLM Reasoning by Thinking Through Options

18 February 2025
Lakshmi Nair
Ian Trase
Mark Kim
    AIFin
    LRM
    AI4CE
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Abstract

We present a novel reasoning approach called Flow-of-Options (FoO), designed to address intrinsic biases in Large Language Models (LLMs). FoO enables LLMs to systematically explore a diverse range of possibilities in their reasoning, as demonstrated by an FoO-based agentic system for autonomously solving Machine Learning tasks (AutoML). Our framework outperforms state-of-the-art baselines, achieving improvements of 38.2% - 69.2% on standard data science tasks, and 37.4% - 47.9% on therapeutic chemistry tasks. With an overall operation cost under 1pertask,ourframeworkiswell−suitedforcost−sensitiveapplications.Beyondclassificationandregression,weillustratethebroaderapplicabilityofourFoO−basedagenticsystemtotaskssuchasreinforcementlearningandimagegeneration.Ourframeworkpresentssignificantadvancementscomparedtocurrentstate−of−the−artagenticsystemsforAutoML,duetothebenefitsofFoOinenforcingdiversityinLLMsolutionsthroughcompressed,explainablerepresentationsthatalsosupportlong−termmemorywhencombinedwithcase−basedreasoning.1 per task, our framework is well-suited for cost-sensitive applications. Beyond classification and regression, we illustrate the broader applicability of our FoO-based agentic system to tasks such as reinforcement learning and image generation. Our framework presents significant advancements compared to current state-of-the-art agentic systems for AutoML, due to the benefits of FoO in enforcing diversity in LLM solutions through compressed, explainable representations that also support long-term memory when combined with case-based reasoning.1pertask,ourframeworkiswell−suitedforcost−sensitiveapplications.Beyondclassificationandregression,weillustratethebroaderapplicabilityofourFoO−basedagenticsystemtotaskssuchasreinforcementlearningandimagegeneration.Ourframeworkpresentssignificantadvancementscomparedtocurrentstate−of−the−artagenticsystemsforAutoML,duetothebenefitsofFoOinenforcingdiversityinLLMsolutionsthroughcompressed,explainablerepresentationsthatalsosupportlong−termmemorywhencombinedwithcase−basedreasoning.

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@article{nair2025_2502.12929,
  title={ Flow-of-Options: Diversified and Improved LLM Reasoning by Thinking Through Options },
  author={ Lakshmi Nair and Ian Trase and Mark Kim },
  journal={arXiv preprint arXiv:2502.12929},
  year={ 2025 }
}
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