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most citedDGM: A deep learning algorithm for solving partial differential equations

2.3k citations · 2.3k across the 9 of their papers we have counts for

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math.PR2018

Mean Field Analysis of Neural Networks: A Central Limit Theorem

Justin Sirignano, Konstantinos Spiliopoulos

We rigorously prove a central limit theorem for neural network models with a single hidden layer. The central limit theorem is proven in the asymptotic regime of simultaneously (A)…

math.PR2018

Mean Field Analysis of Neural Networks: A Law of Large Numbers

Justin Sirignano, Konstantinos Spiliopoulos

Machine learning, and in particular neural network models, have revolutionized fields such as image, text, and speech recognition. Today, many important real-world applications in…