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ResearchSeptember 10, 2026

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

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…

Yizhou Zhang, Weichen Wu, Lun Du, Zhengjie Miao·arXiv — cs.AI
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  • 01.arXiv:2609.09589v1 Announce Type: new Abstract: Deep neural networks exhibit regular macroscopic behavior despite highly nonlinear dynamics in vast parameter spaces
  • 02.We develop a statistical-mechanical description of learning directly in function space, treating parameter…

This material is provided as an extended analytical summary.

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