Provably Learning from Language Feedback

Fuente: arXiv
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Auteurs principaux: Xu, Wanqiao, Nie, Allen, Zheng, Ruijie, Modi, Aditya, Swaminathan, Adith, Cheng, Ching-An
Format: Preprint
Publié: 2025
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author Xu, Wanqiao
Nie, Allen
Zheng, Ruijie
Modi, Aditya
Swaminathan, Adith
Cheng, Ching-An
author_facet Xu, Wanqiao
Nie, Allen
Zheng, Ruijie
Modi, Aditya
Swaminathan, Adith
Cheng, Ching-An
contents Interactively learning from observation and language feedback is an increasingly studied area driven by the emergence of large language model (LLM) agents. While impressive empirical demonstrations have been shown, so far a principled framing of these decision problems remains lacking. In this paper, we formalize the Learning from Language Feedback (LLF) problem, assert sufficient assumptions to enable learning despite latent rewards, and introduce $\textit{transfer eluder dimension}$ as a complexity measure to characterize the hardness of LLF problems. We show that transfer eluder dimension captures the intuition that information in the feedback changes the learning complexity of the LLF problem. We demonstrate cases where learning from rich language feedback can be exponentially faster than learning from reward. We develop a no-regret algorithm, called $\texttt{HELiX}$, that provably solves LLF problems through sequential interactions, with performance guarantees that scale with the transfer eluder dimension of the problem. Across several empirical domains, we show that $\texttt{HELiX}$ performs well even when repeatedly prompting LLMs does not work reliably. Our contributions mark a first step towards designing principled interactive learning algorithms from generic language feedback.
format Preprint
id arxiv_https___arxiv_org_abs_2506_10341
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Provably Learning from Language Feedback
Xu, Wanqiao
Nie, Allen
Zheng, Ruijie
Modi, Aditya
Swaminathan, Adith
Cheng, Ching-An
Machine Learning
Computation and Language
Interactively learning from observation and language feedback is an increasingly studied area driven by the emergence of large language model (LLM) agents. While impressive empirical demonstrations have been shown, so far a principled framing of these decision problems remains lacking. In this paper, we formalize the Learning from Language Feedback (LLF) problem, assert sufficient assumptions to enable learning despite latent rewards, and introduce $\textit{transfer eluder dimension}$ as a complexity measure to characterize the hardness of LLF problems. We show that transfer eluder dimension captures the intuition that information in the feedback changes the learning complexity of the LLF problem. We demonstrate cases where learning from rich language feedback can be exponentially faster than learning from reward. We develop a no-regret algorithm, called $\texttt{HELiX}$, that provably solves LLF problems through sequential interactions, with performance guarantees that scale with the transfer eluder dimension of the problem. Across several empirical domains, we show that $\texttt{HELiX}$ performs well even when repeatedly prompting LLMs does not work reliably. Our contributions mark a first step towards designing principled interactive learning algorithms from generic language feedback.
title Provably Learning from Language Feedback
topic Machine Learning
Computation and Language
url https://arxiv.org/abs/2506.10341