# A Function-Space Approach to the Statistical Mechanics of Learning Dynamics

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**Published:** September 10, 2026
**Author:** Yizhou Zhang, Weichen Wu, Lun Du, Zhengjie Miao
**Source:** arXiv — cs.AI
**Language:** en-US
**HTML:** https://aiqazaqstan.com/en/articles/a-function-space-approach-to-the-statistical-mechanics-of-learning-dynam

arXiv:2609.09589v1 Announce Type: new Abstract: Deep neural networks exhibit regular macroscopic behavior despite highly nonlinear dynamics in vast parameter spaces. We develop a statistical-mechanical description of learning directly in function space, treating parameter…

> From the original source: **arXiv — cs.AI**
> [Read full article at arXiv — cs.AI](https://arxiv.org/abs/2609.09589)

**Tags:** #arXiv

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