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Asymptotic properties of one-layer artificial neural networks with sparse connectivity

arXiv 2112.00732 ↗First posted 1 Dec 2021cond-mat.dis-nn math.PR stat.MLcited by 0

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Abstract (arXiv)

A law of large numbers for the empirical distribution of parameters of a one-layer artificial neural networks with sparse connectivity is derived for a simultaneously increasing number of both, neurons and training iterations of the stochastic gradient descent.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 6 of its 19 references that are in the map. First posted on arXiv 1 Dec 2021.

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References · 6

  1. 2018A Mean Field View of the Landscape of Two-Layers Neural Networkscited by 466
  2. 2018On the Global Convergence of Gradient Descent for Over-parameterized Models using Optimal Transportcited by 426
  3. 2017Scalable Training of Artificial Neural Networks with Adaptive Sparse Connectivity inspired by Network Sciencecited by 328
  4. 2018Mean Field Analysis of Neural Networks: A Central Limit Theoremcited by 107
  5. 2018Pre-Defined Sparse Neural Networks with Hardware Accelerationcited by 9
  6. 2014Understanding brain networks and brain organizationcited by 6

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