TaRA: Training-Aware Low-Rank Adaptation Initialization

Taehyeon Kim, Eunhyeok Park


Abstract
Low-Rank Adaptation (LoRA) has become a de facto standard for parameter-efficient fine-tuning (PEFT), yet its performance is highly sensitive to initialization due to the information bottleneck imposed by low-rank decomposition. Existing approaches attempt to construct high-quality LoRA initializations by exploiting principal components of pretrained weights, activations, or gradients. However, these methods do not directly account for the training dynamics of the full-rank model. In this paper, we propose Training-aware Low-Rank Adaptation Initialization (TaRA), a method that initializes LoRA such that the gradients induced by the low-rank factors closely approximate the gradient of the corresponding full-rank weight matrix. Derived from a mathematical formulation, TaRA improves gradient fidelity at the start of training while introducing negligible computational overhead. Across diverse and challenging fine-tuning tasks, TaRA consistently outperforms prior state-of-the-art methods, establishing a simple, robust, and scalable solution for effective LoRA initialization.
Anthology ID:
2026.emnlp-main.2014
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:
45885–45901
Language:
URL:
https://aclanthology.org/2026.emnlp-main.2014/
DOI:
Bibkey:
Cite (ACL):
Taehyeon Kim and Eunhyeok Park. 2026. TaRA: Training-Aware Low-Rank Adaptation Initialization. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 45885–45901, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
TaRA: Training-Aware Low-Rank Adaptation Initialization (Kim & Park, EMNLP 2026)
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PDF:
https://aclanthology.org/2026.emnlp-main.2014.pdf