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arXiv — cs.AI

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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…

arXiv — cs.AIBy: Yizhou Zhang, Weichen Wu, Lun Du, Zhengjie MiaoSeptember 10, 2026 (Sep 10)
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  • 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…
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A Function-Space Approach to the Statistical Mechanics of Learning Dynamics

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