---
title: "Truncation Sampling as Language Model Desmoothing (2022)"
description: "The authors therefore propose η-sampling, which drops a token only when its probability falls below… 34 references, cited by 67 papers here."
authors: ["John Hewitt", "Christopher Manning", "Percy Liang"]
year: 2022
venue: "Findings of the Association for Computational Linguistics: EMNLP 2022"
source: "https://aclanthology.org/2022.findings-emnlp.249/"
doi: "10.18653/v1/2022.findings-emnlp.249"
licence: "CC BY 4.0 (ACL Anthology)"
licence_url: "https://creativecommons.org/licenses/by/4.0/"
summary_licence: "Elamur Cosmic License"
canonical: "https://research.elamur.ai/free/en/papers/hewitt-2022-truncation-sampling-as-language-model/"
---
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# Truncation Sampling as Language Model Desmoothing

**Authors:** [John Hewitt](https://md.research.elamur.ai/free/en/authors/john-hewitt/), [Christopher Manning](https://md.research.elamur.ai/free/en/authors/christopher-d-manning/) and [Percy Liang](https://md.research.elamur.ai/free/en/authors/percy-liang/) · **Year:** 2022 · **Venue:** [Findings of the Association for Computational Linguistics: EMNLP 2022](https://md.research.elamur.ai/free/en/venues/findings/) ([Findings of the Association for Computational Linguistics 2022](https://md.research.elamur.ai/free/en/venues/findings/2022/)) · **Publisher:** [Association for Computational Linguistics](https://md.research.elamur.ai/free/en/publishers/association-for-computational-linguistics/) · **Licence:** [CC BY 4.0 (ACL Anthology)](https://creativecommons.org/licenses/by/4.0/)

**Links:** [Publisher's page](https://aclanthology.org/2022.findings-emnlp.249/) · [PDF](https://aclanthology.org/2022.findings-emnlp.249.pdf) · [DOI 10.18653/v1/2022.findings-emnlp.249](https://doi.org/10.18653/v1/2022.findings-emnlp.249) · [OpenAlex](https://openalex.org/W4385573518)

**Citations:** 25 citations (OpenAlex, 2026-10-14) · [67](https://md.research.elamur.ai/free/en/papers/hewitt-2022-truncation-sampling-as-language-model/cited-by/) in our library, of the 141,840 papers whose bibliographies we read

## Summary
Sampling directly from neural language models often yields long texts that drift into nonsense. Truncation methods such as top-k and top-p help by zeroing out unlikely tokens, but it has been unclear what they are actually trying to achieve. The authors treat any neural LM as a blend of the true distribution with a near-uniform smoothing component. The smoothing exists because KL-divergence training heavily penalizes giving near-zero probability to observed words. Under this view, truncation is *desmoothing*: trying to recover the support of the true distribution.

From this model they derive two principles. Likely words should never be removed. When every candidate is unlikely, only words that are improbable relative to the others should be cut. Top-p violates the first principle. The authors therefore propose η-sampling, which drops a token only when its probability falls below both a fixed threshold and an entropy-dependent threshold.

They compare η-sampling with top-p, typical decoding and ϵ-sampling, tuning each method with MAUVE. η-sampling produces long English documents that humans rate as more plausible and escapes repetition more easily. It also behaves more sensibly on a diagnostic set of distributions, which matters for anyone relying on default decoding settings.

## Key points
- **Motivating example:** a 5-gram model smoothed with the uniform distribution degenerates into gibberish once it samples a token outside the support of the 5-gram model.
- **Over-truncation by top-p:** GPT-2 large gives "Trump" probability 0.96 after "Donald", so top-p = 0.95 keeps only that one continuation. η-sampling keeps several.
- **Diagnostic battery:** in CheckList-style tests, top-p and typical decoding over-truncate low-entropy distributions. ϵ-sampling, which uses only an absolute threshold, wrongly allows fewer words in high-entropy contexts such as "The…".
- **Tuning:** each method's hyperparameter was set by maximizing MAUVE, for example typical 0.92 and top-p 0.95 for GPT-2 large.
- **Code and limitations:** code is released at github.com/john-hewitt/truncation-sampling. Experiments cover English LMs only, and the authors note that morphologically rich languages may behave differently.

*Our summary of the paper, in our own words — not its text. The work belongs to its authors; read it at the links above.*

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## Cite

Cite as: John Hewitt, Christopher Manning and Percy Liang. 2022. Truncation Sampling as Language Model Desmoothing. Findings of the Association for Computational Linguistics: EMNLP 2022.

The paper itself, not this page. BibTeX from the library's record of the work.

```bibtex
@inproceedings{hewitt2022truncation,
  title = {{Truncation Sampling as Language Model Desmoothing}},
  author = {John Hewitt, Christopher Manning and Percy Liang},
  booktitle = {Findings of the Association for Computational Linguistics: EMNLP 2022},
  year = {2022},
  doi = {10.18653/v1/2022.findings-emnlp.249},
  url = {https://doi.org/10.18653/v1/2022.findings-emnlp.249}
}
```

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*Updated 24 October 2026*
