PRISM: Private Rank-Invariant Subspace Memory for Federated Continual Fine-Tuning under Local Differential Privacy

Ziyi Wang, Liang Liu, Zhu Meng, Zhicheng Zhao


Abstract
Privacy-preserving adaptation of pretrained language models requires continual fine-tuning as private client distributions shift, while protecting individual samples under local differential privacy (LDP). In streaming differentially private federated learning, full-rank Low-Rank Adaptation (LoRA) adapters expose many trainable directions to DP noise, and later domains may overwrite directions that remain relevant to earlier domains. We propose Private Rank-Invariant Subspace Memory (PRISM), a fixed-rank LoRA framework that schedules the active plastic rank over the stream and applies shrinkage-gated memory writes to DP-protected aggregate updates. Server-side consolidation stores retained high-SNR directions in an orthogonal memory and remains pure post-processing of LDP updates. On MNLI genre and Sentiment3, PRISM stabilizes adaptation under strict privacy budgets while preserving a strong public initialization. At 𝜖=2 , it reaches 79.8% and 92.3% final average accuracy, compared with 52.3% and 85.0% for full-rank DP-FedSVD. Ablations indicate that rank scheduling accounts for most strict-budget recovery, and shrinkage-gated memory contributes a smaller retention gain and modestly improves over the strongest static low-rank control on MNLI.
Anthology ID:
2026.emnlp-main.313
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
7204–7223
Language:
URL:
https://aclanthology.org/2026.emnlp-main.313/
DOI:
Bibkey:
Cite (ACL):
Ziyi Wang, Liang Liu, Zhu Meng, and Zhicheng Zhao. 2026. PRISM: Private Rank-Invariant Subspace Memory for Federated Continual Fine-Tuning under Local Differential Privacy. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 7204–7223, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
PRISM: Private Rank-Invariant Subspace Memory for Federated Continual Fine-Tuning under Local Differential Privacy (Wang et al., EMNLP 2026)
Copy Citation:
PDF:
https://aclanthology.org/2026.emnlp-main.313.pdf