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Paper · arXiv

Distributional Alignment Games for Answer-Level Fine-Tuning

We focus on the problem of \emph{Answer-Level Fine-Tuning} (ALFT), where the goal is to optimize a language model based on the correctness or properties of its final answers, rather than the specific reasoning traces used to produce them. Directly optimizing answer-level objectives is computationally intractable due to the need to marginalize over the vast space of latent reasoning paths. To overcome this, we propose a general game-theoretical framework that lifts the problem to a \emph{Distributional Alignment Game}. We formulate ALFT as a two-player game between a Policy (the generator) and a Target (an auxiliary distribution). We prove that the Nash Equilibrium of this game corresponds...

AuthorsMehryar Mohri, Jon Schneider, Yifan Wu
Primary categorycs.LG
Published29 April 2026
Last updated at source29 April 2026
cs.LGcs.GT
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