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Yuedong Xu is with College of Computer Science and Artificial Intelligence, and Artificial Intelligence Innovation and Incubation Institute, Fudan University, Shanghai, China (e-mail: ydxu@fudan.edu.cn)
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By fusing orthogonalized momentum with adaptive noise scaling, NAMO and NAMO-D offer a surprisingly simple recipe for faster and more stable LLM training compared to AdamW and Muon.