---
title: "f-Divergence Minimization for Sequence-Level Knowledge"
description: "To address both, they introduce f-DISTILL, which treats sequence-level distillation as minimizing a… 62 references, cited by 73 papers here."
authors: ["Yuqiao Wen", "Zichao Li", "Wenyu Du", "Lili Mou"]
year: 2023
venue: "Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)"
source: "https://aclanthology.org/2023.acl-long.605/"
doi: "10.18653/v1/2023.acl-long.605"
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/wen-2023-f-divergence-minimization-sequence-level/"
---
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# f-Divergence Minimization for Sequence-Level Knowledge Distillation

**Authors:** Yuqiao Wen, [Zichao Li](https://md.research.elamur.ai/free/en/authors/zichao-li/), Wenyu Du and [Lili Mou](https://md.research.elamur.ai/free/en/authors/lili-mou/) · **Year:** 2023 · **Venue:** [Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)](https://md.research.elamur.ai/free/en/venues/acl/) ([ACL 2023](https://md.research.elamur.ai/free/en/venues/acl/2023/)) · **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/2023.acl-long.605/) · [PDF](https://aclanthology.org/2023.acl-long.605.pdf) · [DOI 10.18653/v1/2023.acl-long.605](https://doi.org/10.18653/v1/2023.acl-long.605) · [OpenAlex](https://openalex.org/W4385570255)

**Citations:** 18 citations (OpenAlex, 2026-10-14) · [73](https://md.research.elamur.ai/free/en/papers/wen-2023-f-divergence-minimization-sequence-level/cited-by/) in our library, of the 141,840 papers whose bibliographies we read

## Summary
The paper tackles knowledge distillation (KD) for text generation, where a compact student model must reproduce the output distribution of a much larger teacher. The authors argue that the standard KL-based approach (SeqKD) makes the student spread its probability too thinly across the teacher's outputs, a failure called mode averaging. Reverse-KL-style objectives such as ENGINE have the opposite flaw: the student fixates on a few high-probability regions, called mode collapsing. To address both, they introduce f-DISTILL, which treats sequence-level distillation as minimizing a general f-divergence. The framework yields four variants: KL, RKL, JS and TVD. The authors show that SeqKD and ENGINE are approximations of the KL and RKL cases. They also derive step-wise, word-level decompositions that make the intractable sequence-level losses computable, either exactly or as an upper bound. Teacher samples are drawn offline to reduce training cost. On four generation benchmarks, f-DISTILL beats existing distribution-matching KD methods. The symmetric losses (JS, TVD) perform best, which suggests that balancing the two failure modes produces better small models for deployment.

## Key points
- Four f-DISTILL variants are proposed: KL, reverse KL (RKL), Jensen–Shannon (JS) and total variation distance (TVD). SeqKD and ENGINE emerge as approximations of the KL and RKL variants.
- The evaluation covers four tasks:
  - DART for data-to-text generation
  - XSum for summarization
  - WMT16 EN-RO for machine translation
  - Commonsense Dialogue for dialogue generation
- The KL variant uses the teacher's soft labels instead of SeqKD's hard beam-search sequences, which gives the student more information.
- f-DISTILL also adds gains on top of representation-matching KD methods. Code is available at github.com/MANGA-UOFA/fdistill.
- The authors note several limitations:
  - Training is slower than with SeqKD or ENGINE, although inference speed is unaffected.
  - The experiments took about 2000 GPU hours.
  - No multi-run statistics are reported.

*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: Yuqiao Wen, Zichao Li, Wenyu Du and Lili Mou. 2023. f-Divergence Minimization for Sequence-Level Knowledge Distillation. Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers).

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

```bibtex
@inproceedings{wen2023f,
  title = {{f-Divergence Minimization for Sequence-Level Knowledge Distillation}},
  author = {Yuqiao Wen, Zichao Li, Wenyu Du and Lili Mou},
  booktitle = {Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)},
  year = {2023},
  doi = {10.18653/v1/2023.acl-long.605},
  url = {https://doi.org/10.18653/v1/2023.acl-long.605}
}
```

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*Updated 24 October 2026*
