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Null-LoRA: Low-Rank Adaptation on Null Space

Published: December 17, 2025 | arXiv ID: 2512.15233v1

By: Yi Zhang , Yulei Kang , Haoxuan Chen and more

Potential Business Impact:

Teaches computers new things with less effort.

Business Areas:
Natural Language Processing Artificial Intelligence, Data and Analytics, Software

Parameter-efficient fine-tuning methods have gained considerable popularity for adapting large-scale models to downstream tasks, particularly LoRA and its variants. Existing methods perform low-rank adaptation over the full parameter space. However, fine-tuning within a subspace can achieve comparable effectiveness. Inspired by the observation that pre-trained models possess non-trivial null spaces, we propose Null-space based Low-Rank Adaptation (Null-LoRA). Null-LoRA effectively reduces redundancy and enhances effective rank by freezing portions of the low-rank matrices. To further improve parameter efficiency, Null-LoRA constrains the entire incremental update within the null space, maximizing the utilization of incremental updates to adapt to new task paradigms. Null-LoRA surpasses the state of the art with fewer parameters in extensive experiments across image-text retrieval and visual question answering tasks.

Page Count
5 pages

Category
Computer Science:
CV and Pattern Recognition