PoLoRA Optimizer Accelerates LoRA Finetuning, Boosts Stability

deepcohen · x · 2026-08-19

PoLoRA is a Preconditioned Orthogonalized LoRA optimizer addressing Adam's ignorance of LoRA's matrix structure. By combining product-aware spectral updates, curvature preconditioning, and magnitude rules, PoLoRA achieves the final loss of tuned Adam in 1.2-1.7x fewer steps on code and math tasks. It is also less sensitive to learning rates, with stable optimal rates across ranks.

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