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20242026
most citedDynamic neuron approach to deep neural networks: Decoupling neurons for renormalization group analysis

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cs.LG2025

Bulk-boundary decomposition of neural networks

Donghee Lee, Hye-Sung Lee, Jaeok Yi

We present the bulk--boundary decomposition as a new framework for understanding the training dynamics of deep neural networks. Starting from the stochastic gradient descent formul…

hep-th2025

Synaptic Field Theory for Neural Networks

Donghee Lee, Hye-Sung Lee, Jaeok Yi

Theoretical understanding of deep learning remains elusive despite its empirical success. In this study, we propose a novel "synaptic field theory" that describes the training dyna…