1052Machine LearningarXiv:2608.31036
- It identified that LoRA's early learning is governed by the down-projection A and showed that simply normalizing A along the rank dimension improves optimization.
- It raised the supervised fine-tuning average from 37.93 (LoRA) to 43.37, and even NoRA-init, which applies normalization only at initialization, reached 42.38.
- In reinforcement learning for mathematical reasoning (RLVR), it achieved an overall average of 44.4%, exceeding LoRA (42.8%), and remained stable in contrast to SVD-based PiSSA, which collapsed to 0.2% under the same settings.
- Post-adaptation retention of existing knowledge (average change across 3 evaluations including MMLU) was +0.02, showing much less forgetting than LoRA (-0.56) or MiSS (-0.70).
- Applying the same normalization principle to DoRA also raised its score from 38.30 to 41.40, confirming that the idea is not limited to the LoRA family.