KS-Lottery: Finding Certified Lottery Tickets for Multilingual Transfer in Large Language Models

Fei Yuan, Chang Ma, Shuai Yuan, Qiushi Sun, Lei Li


Abstract
The lottery ticket hypothesis posits the existence of “winning tickets” within a randomly initialized neural network. Do winning tickets exist for LLMs in fine-tuning scenarios? How can we find such winning tickets? In this paper, we propose KS-Lottery, a method to identify a small subset of LLM parameters highly effective in multilingual fine-tuning. Our key idea is to use Kolmogorov-Smirnov Test to analyze the distribution shift of parameters before and after fine-tuning. We further theoretically prove that KS-Lottery can find the certified winning tickets in the embedding layer, fine-tuning on the found parameters is guaranteed to perform as well as full fine-tuning. Comparing KS-Lottery with other tuning algorithms on translation tasks, the experimental results show that KS-Lottery finds a much smaller set of parameters for fine-tuning while achieving the comparable performance as full fine-tuning LLM. Surprisingly, we find that fine-tuning 18 tokens’ embedding of LLaMA suffices to reach the fine-tuning translation performance .
Anthology ID:
2025.naacl-long.458
Volume:
Proceedings of the 2025 Conference of the Nations of the Americas Chapter of the Association for Computational Linguistics: Human Language Technologies (Volume 1: Long Papers)
Month:
April
Year:
2025
Address:
Albuquerque, New Mexico
Editors:
Luis Chiruzzo, Alan Ritter, Lu Wang
Venue:
NAACL
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
9077–9090
Language:
URL:
https://preview.aclanthology.org/Ingest-2025-COMPUTEL/2025.naacl-long.458/
DOI:
Bibkey:
Cite (ACL):
Fei Yuan, Chang Ma, Shuai Yuan, Qiushi Sun, and Lei Li. 2025. KS-Lottery: Finding Certified Lottery Tickets for Multilingual Transfer in Large Language Models. In Proceedings of the 2025 Conference of the Nations of the Americas Chapter of the Association for Computational Linguistics: Human Language Technologies (Volume 1: Long Papers), pages 9077–9090, Albuquerque, New Mexico. Association for Computational Linguistics.
Cite (Informal):
KS-Lottery: Finding Certified Lottery Tickets for Multilingual Transfer in Large Language Models (Yuan et al., NAACL 2025)
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https://preview.aclanthology.org/Ingest-2025-COMPUTEL/2025.naacl-long.458.pdf