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Recipes for Steering and Scaling LLMs via Sampling

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Computer Science > Computation and Language

arXiv:2608.26120 (cs)
[Submitted on 19 Jun 2026]

Title:Recipes for Steering and Scaling LLMs via Sampling

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Abstract:Large Language Models (LLMs) are probabilistic models, typically defined by an autoregressive factorization. While recent work has begun to study richer target distributions beyond the base model, the sampling strategies remain highly inefficient. In this paper, we present a flexible and theoretically grounded framework for steering and scaling autoregressive LLMs with sampling. Within this framework, we describe two algorithms -- one based on Sequential Monte Carlo (SMC) and one based on Replica Exchange (RE) -- that steer generation toward powering, product or tilting of the base model distribution. We illustrate this framework through scaling the generation quality of LLMs without external supervision or reward models. Experimental results demonstrate our methods scale more favorably than Best-of-N and standard MCMC baselines. Overall, this paper offers a systematic recipe for probabilistic inference with LLMs via sampling.
Comments: 13 pages
Subjects: Computation and Language (cs.CL); Machine Learning (cs.LG)
Cite as: arXiv:2608.26120 [cs.CL]
  (or arXiv:2608.26120v1 [cs.CL] for this version)
  https://doi.org/10.48550/arXiv.2608.26120
arXiv-issued DOI via DataCite

Submission history

From: Jiajun He [view email]
[v1] Fri, 19 Jun 2026 07:29:50 UTC (221 KB)
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