W2T: LoRA Weights Already Know What They Can Do

Xiaolong Han, Ferrante Neri, Jiang Zijian, Fang Wu, Yanfang Ye, Lu Yin, Zehong Wang


Abstract
Each LoRA checkpoint compactly stores task-specific updates in low-rank weight matrices, offering an efficient way to adapt large language models to new tasks and domains. In principle, these weights already encode what the adapter does and how well it performs. In this paper, we ask whether this information can be read directly from the weights, without running the base model or accessing training data. A key obstacle is that a single LoRA update can be factorized in infinitely many ways. Without resolving this ambiguity, models trained on the factors may fit the particular factorization rather than the underlying update. To this end, we propose W2T (Weight-to-Token), which maps each LoRA update to a provably canonical form via QR decomposition followed by SVD, so that all equivalent factorizations share the same representation. The resulting components are then tokenized and processed by a Transformer to produce a weight-space embedding. Across language and vision LoRA collections, W2T achieves strong results on attribute classification, performance prediction, and adapter retrieval, demonstrating that LoRA weights reliably indicate model behavior once factorization ambiguity is removed.
Anthology ID:
2026.emnlp-main.158
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:
3638–3653
Language:
URL:
https://aclanthology.org/2026.emnlp-main.158/
DOI:
Bibkey:
Cite (ACL):
Xiaolong Han, Ferrante Neri, Jiang Zijian, Fang Wu, Yanfang Ye, Lu Yin, and Zehong Wang. 2026. W2T: LoRA Weights Already Know What They Can Do. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 3638–3653, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
W2T: LoRA Weights Already Know What They Can Do (Han et al., EMNLP 2026)
Copy Citation:
PDF:
https://aclanthology.org/2026.emnlp-main.158.pdf