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This research addresses the computational bottleneck in analyzing Large Language Model reasoning by proposing statistical methods to smooth noisy, low-sample rollout data. By demonstrating that uncertainty dynamics converge to stable patterns, the authors significantly reduce the sampling costs required to characterize an LLM's distribution of reasoning chains. This work advances the efficiency of probing model internals without sacrificing the fidelity of uncertainty estimation.
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Forking Fast: Efficiently Estimating Uncertainty Dynamics in Text Generation

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arXiv:2608.19611v1 Announce Type: new Abstract: LLM reasoning is stochastic, and so understanding a model requires grappling with the distribution of reasoning chains that it might produce for a given question, i.e., its uncertainty. Resampling-based analyses characterize this distribution, revealing which steps of a rollout determine how the model arrives at its answer. However, a major limitation of these approaches is that resampling text sequences at every token or sentence in a reasoning chain is very costly. Our work strives to make resampling analysis more computationally efficient, while also shedding light on an important scientific question: what is the right statistical model for explaining uncertainty dynamics in text generation? We show that when resampling many reasoning chains, uncertainty dynamics converge to stable patterns, and noise is largely an artifact of sampling rather than an LLM's sensitivity to each individual token or reasoning step. We develop a statistical model for smoothing noisy low-sample rollout data to better approximate high-sample data, allowing us to significantly cut sampling costs.

Abstract:LLM reasoning is stochastic, and so understanding a model requires grappling with the distribution of reasoning chains that it might produce for a given question, i.e., its uncertainty. Resampling-based analyses characterize this distribution, revealing which steps of a rollout determine how the model arrives at its answer. However, a major limitation of these approaches is that resampling text sequences at every token or sentence in a reasoning chain is very costly. Our work strives to make resampling analysis more computationally efficient, while also shedding light on an important scientific question: what is the right statistical model for explaining uncertainty dynamics in text generation? We show that when resampling many reasoning chains, uncertainty dynamics converge to stable patterns, and noise is largely an artifact of sampling rather than an LLM's sensitivity to each individual token or reasoning step. We develop a statistical model for smoothing noisy low-sample rollout data to better approximate high-sample data, allowing us to significantly cut sampling costs.

Computation and Language (cs.CL); Artificial Intelligence (cs.AI); Machine Learning (cs.LG)

arXiv:2608.19611 [cs.CL]

(or arXiv:2608.19611v1 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2608.19611 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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