Rotated Manifold Optimization for Low-Rank Adaptation

arXiv:2609.34264 · cs.LG · Submitted 2026-09-28 · Read on arXiv

cs.LG

Submitted: 2026-09-28

Updated: 2026-09-28

Code: https://github.com/tatsu-lab/stanford_alpaca

Terminology

• Adaptation — 1× in this paper · explained in 1 episode

Sources

• Program Synthesis with Large Language Models
• Old Optimizer, New Norm: An Anthology
• Evaluating Large Language Models Trained on Code
• Gemma 2: Improving Open Language Models at a Practical Size
• PoLoRA: A Preconditioned Orthogonalized LoRA Optimizer
• ARO: A New Lens On Matrix Optimization For Large Models
• The Llama 3 Herd of Models
• Adam: A Method for Stochastic Optimization
• DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models
• LLaMA: Open and Efficient Foundation Language Models
• Qwen2 Technical Report

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