Online Learning with LLM Experts from Limited Feedback

Hugging Face Daily Papers Papers

Summary

This paper formulates the adaptive routing of prompts to large language model experts as a contextual bandit problem with limited feedback, proposing algorithms that achieve sublinear regret and demonstrate efficient learning of high-quality routing strategies.

We study adaptive routing of prompts to large language model (LLM) experts to maximize response quality in an online setting with limited feedback. We formulate it as a bandit problem with K actions that represent experts and d features that encode prompts, over a horizon of T rounds. We propose algorithms that strategically select and observe rewards to minimize regret. In the full-information setting, we achieve a regret of O(d T / m), while in the bandit setting we achieve O(d T K / m), where m ll T is a budget on feedback. Our experiments show that we efficiently learn high-quality routing strategies across diverse LLMs from limited feedback.
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Source: https://huggingface.co/papers/2609.05820

Abstract

Adaptive routing of prompts to LLM experts is formulated as a contextual bandit problem with limited feedback, yielding algorithms with sublinear regret bounds and effective routing strategies.

We studyadaptive routingof prompts to large language model (LLM) experts to maximize response quality in an online setting withlimited feedback. We formulate it as abandit problemwith K actions that represent experts and d features that encode prompts, over a horizon of T rounds. We propose algorithms that strategically select and observe rewards to minimize regret. In thefull-information setting, we achieve a regret of O(d T / m), while in the bandit setting we achieve O(d T K / m), where m ll T is a budget on feedback. Our experiments show that we efficiently learn high-quality routing strategies across diverse LLMs fromlimited feedback.

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