Exponential-Tilted Unlearning

Sungwon Chae, Keonwoo Kim, Hoki Kim


Abstract
Large Language Models (LLMs) often memorize and regenerate sensitive or protected content that requires inference-time suppression. While machine unlearning has emerged as a highly active area of research, existing unlearning methods often degrade performance on retain dataset or require costly retraining. In this paper, we introduce Exponential-Tilted Unlearning (ETU), an inference-time method that formulates unlearning as the KL I-projection of the base next-token distribution under a user-specified upper bound 𝜀 on the forget-token mass, with a closed-form exponential tilt whose scalar multiplier 𝜆 is set analytically by 𝜀. Under a single shared protocol, (i) ETU satisfies the 𝜀 constraint across nine instruction-tuned dense and Mixture-of-Experts backbones on TOFU, RWKU, and WPU while preserving retain utility; (ii) the same calibrated family covers the full 𝜀 spectrum with the strict zero-mass case as a limiting operating point; and (iii) representative weight-update methods expose no such 𝜀-calibrated residual-mass control.
Anthology ID:
2026.findings-emnlp.2431
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
52173–52199
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.2431/
DOI:
Bibkey:
Cite (ACL):
Sungwon Chae, Keonwoo Kim, and Hoki Kim. 2026. Exponential-Tilted Unlearning. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 52173–52199, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Exponential-Tilted Unlearning (Chae et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.2431.pdf