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Paper · arXiv

Composable Decoding on the Probability Simplex: Theory and Implementation

Decoding for large language models is typically treated as a collection of isolated sampling strategies, with limited theoretical understanding of the behaviours they induce and how their underlying objectives relate. We formulate decoding as an optimisation problem over next-token distributions on the probability simplex, balancing expected model score against regularisation under support constraints. This view recovers familiar decoding methods through choices of regularisers and support constraints; more importantly, it enables new decoders to be constructed by composing distributional preferences within a single optimisation problem without external rewards, learned critics, or model ...

AuthorsXiaotong Ji, Ahmed Khaled Khamis, Rasul Tutunov et al.
Primary categorycs.LG
Published28 September 2026
Last updated at source28 September 2026
cs.LGcs.AI
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