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Paper · arXiv

Neural Dynamics as the Composition of Quantized Units

Deep learning is commonly interpreted at two levels: the macroscopic, through aggregate trends in loss summarized by scaling laws, and the microscopic, through neurons, features, and circuits. A central challenge is understanding how these levels connect, so that we can explain how elementary computations compose and collectively shape macroscopic behavior. To this end, we study an intermediate abstraction in which training is described as the ordered acquisition of quanta: reusable computations acquired suddenly and binary-activated across examples to reduce loss. By approximating population-gradient updates, we derive quanta's acquisition dynamics. This yields an acquisition priority go...

AuthorsJacopo Minniti, Aravinth Kulanthaivelu, Richard Sproat
Primary categorycs.LG
Published26 September 2026
Last updated at source26 September 2026
cs.LG
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