Muon motivates designing optimizer geometry around the function of each parameter block and uses the spectral norm for hidden linear layers. For the language-model head, the spectral norm is not a faithful measure of functional change. Softmax removes shared logit shifts, whereas the spectral norm can assign arbitraril...
Aditya Somasundaram, Charles Guille-Escuret, Alexander Moreno et al.· 0 citations
Most of mathematical knowledge has been communicated through so-called informal use of mathematics and natural language. With large language models (LLMs) being highly adept in using natural language, they achieve strong performance, yet not perfect, in informal mathematical reasoning. Restraining LLMs to informal reas...
Joshua Ong Jun Leang, Haonan Li, Zheng-Yang Zhao et al.· 0 citations
Large Language Models (LLMs) owe much of their success to next-token prediction (NTP), but their autoregressive (AR) structure requires slow, sequential token generation. To overcome this bottleneck, we introduce diffusion-augmented LLMs, a new class of models that defines an AR model distribution while using diffusion...
S. Sahoo, Ling-Jie Chen, Khiem Pham et al.· 1 citation
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