DFReg: A Physics-Inspired Framework for Global Weight Distribution Regularization in Neural Networks

Giovanni Ruggieri
6/30/2025
cs.LG

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Abstract

We introduce DFReg, a physics-inspired regularization method for deep neural networks that operates on the global distribution of weights. Drawing from Density Functional Theory (DFT), DFReg applies a functional penalty to encourage smooth, diverse, and well-distributed weight configurations. Unlike traditional techniques such as Dropout or L2 decay, DFReg imposes global structural regularity without architectural changes or stochastic perturbations.

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@article{ruggieri2025dfreg,
  title  = {DFReg: A Physics-Inspired Framework for Global Weight Distribution Regularization in Neural Networks},
  author = {Giovanni Ruggieri},
  year   = {2025},
  eprint = {2507.00101},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2507.00101v1}
}

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