arxivcs.LGcs.CLmath.OC2026-07-20
PoLoRA: A Preconditioned Orthogonalized LoRA Optimizer
Nikhil Ghosh, Tetiana Parshakova, Robert M. Gower
Low-rank adaptation (LoRA) makes finetuning large language models cheaper by adding to each weight matrix a trainable low-rank update parameterized as the product of two matrices. These matrices are usually trained with Adam, which treats them as a single flat vector of parameter…