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LoRA-TSD: Tangent-Space Spectral Descent for LoRA via Muon-Style Updates

Andriianov, Dmitrii et al.
arXiv (OAI Expanded) · Papers
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machine-learning
Low-rank adaptation (LoRA) is the standard way to fine-tune large models, yet when its two factors are trained independently, the update ignores the geometry of the low-rank weight change it induces. We introduce LoRA-TSD, an optimizer that treats every LoRA step as a tangent vector of the fixed-ran
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