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Main Authors: Poon, Manhin, Dai, XiangXiang, Liu, Xutong, Kong, Fang, Lui, John C. S., Zuo, Jinhang
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.17670
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author Poon, Manhin
Dai, XiangXiang
Liu, Xutong
Kong, Fang
Lui, John C. S.
Zuo, Jinhang
author_facet Poon, Manhin
Dai, XiangXiang
Liu, Xutong
Kong, Fang
Lui, John C. S.
Zuo, Jinhang
contents Large language models (LLMs) exhibit diverse response behaviors, costs, and strengths, making it challenging to select the most suitable LLM for a given user query. We study the problem of adaptive multi-LLM selection in an online setting, where the learner interacts with users through multi-step query refinement and must choose LLMs sequentially without access to offline datasets or model internals. A key challenge arises from unstructured context evolution: the prompt dynamically changes in response to previous model outputs via a black-box process, which cannot be simulated, modeled, or learned. To address this, we propose the first contextual bandit framework for sequential LLM selection under unstructured prompt dynamics. We formalize a notion of myopic regret and develop a LinUCB-based algorithm that provably achieves sublinear regret without relying on future context prediction. We further introduce budget-aware and positionally-aware (favoring early-stage satisfaction) extensions to accommodate variable query costs and user preferences for early high-quality responses. Our algorithms are theoretically grounded and require no offline fine-tuning or dataset-specific training. Experiments on diverse benchmarks demonstrate that our methods outperform existing LLM routing strategies in both accuracy and cost-efficiency, validating the power of contextual bandits for real-time, adaptive LLM selection.
format Preprint
id arxiv_https___arxiv_org_abs_2506_17670
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Online Multi-LLM Selection via Contextual Bandits under Unstructured Context Evolution
Poon, Manhin
Dai, XiangXiang
Liu, Xutong
Kong, Fang
Lui, John C. S.
Zuo, Jinhang
Machine Learning
Large language models (LLMs) exhibit diverse response behaviors, costs, and strengths, making it challenging to select the most suitable LLM for a given user query. We study the problem of adaptive multi-LLM selection in an online setting, where the learner interacts with users through multi-step query refinement and must choose LLMs sequentially without access to offline datasets or model internals. A key challenge arises from unstructured context evolution: the prompt dynamically changes in response to previous model outputs via a black-box process, which cannot be simulated, modeled, or learned. To address this, we propose the first contextual bandit framework for sequential LLM selection under unstructured prompt dynamics. We formalize a notion of myopic regret and develop a LinUCB-based algorithm that provably achieves sublinear regret without relying on future context prediction. We further introduce budget-aware and positionally-aware (favoring early-stage satisfaction) extensions to accommodate variable query costs and user preferences for early high-quality responses. Our algorithms are theoretically grounded and require no offline fine-tuning or dataset-specific training. Experiments on diverse benchmarks demonstrate that our methods outperform existing LLM routing strategies in both accuracy and cost-efficiency, validating the power of contextual bandits for real-time, adaptive LLM selection.
title Online Multi-LLM Selection via Contextual Bandits under Unstructured Context Evolution
topic Machine Learning
url https://arxiv.org/abs/2506.17670