arXiv — Machine Learning · · 3 min read

Compositional Generalization in Autoregressive Models via Logit Composition

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Computer Science > Machine Learning

arXiv:2605.28304 (cs)
[Submitted on 27 May 2026]

Title:Compositional Generalization in Autoregressive Models via Logit Composition

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Abstract:Composing autoregressive models remains a core challenge in understanding how large language models can combine behaviors or skills learned across tasks. We introduce a new and principled composition strategy for autoregressive systems, inspired by composition methods developed for diffusion models. Under a factorized-conditionals assumption, we show that the resulting composition is projective: each component model preserves control over its own designated subspace of the output distribution avoiding interference between models. This property is further preserved under smooth reparameterizations of the output space, yielding a feature-space theorem. Finally, we show that composition preserves length-generalizing behavior when the factorization assumptions and component guarantees hold uniformly at the target length. These results provide a principled understanding of when model composition and merging succeed in autoregressive systems and identify conditions under which their interactions remain stable.
Subjects: Machine Learning (cs.LG)
Cite as: arXiv:2605.28304 [cs.LG]
  (or arXiv:2605.28304v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2605.28304
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Aakash Kumar [view email]
[v1] Wed, 27 May 2026 11:00:26 UTC (31 KB)
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