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Hugging Face Daily PapersWang Wei, Soumyabrata Pal, Koyel Mukherjee2 min readpaperadvanced

Online Learning with LLM Experts from Limited Feedback

Summary

The paper models prompt routing to multiple LLM experts as a bandit problem with limited feedback and proposes algorithms that achieve sublinear regret in both full‑information and bandit settings. Experiments demonstrate that the methods learn effective routing strategies across diverse LLMs using only a small feedback budget.

  • Formulates LLM expert selection as a K‑armed contextual bandit with d‑dimensional prompt features.
  • Achieves regret ∼ Õ(dT/√m) in full‑information and Õ(dT√(K/m)) in bandit settings, where m << T is the feedback budget.
  • Empirical evaluation shows the algorithms quickly converge to high‑quality routing despite limited reward signals.

Engineers building LLM‑as‑a‑service platforms can use these techniques to automatically pick the best model for each request while minimizing costly feedback.

6/10

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