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20122026
most citedA Derivative-Free Method for Solving Elliptic Partial Differential Equations with Deep Neural Networks

61 citations · 297 across the 23 of their papers we have counts for

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6 papers · 1 filter

cs.LG2023

Network Degeneracy as an Indicator of Training Performance: Comparing Finite and Infinite Width Angle Predictions

Cameron Jakub, Mihai Nica

Neural networks are powerful functions with widespread use, but the theoretical behaviour of these functions is not fully understood. Creating deep neural networks by stacking many…

cs.LG2023★ 4 cited

Dynamic Sparse Training with Structured Sparsity

Mike Lasby, Anna Golubeva, Utku Evci +2

Dynamic Sparse Training (DST) methods achieve state-of-the-art results in sparse neural network training, matching the generalization of dense models while enabling sparse training…

cs.LG2022★ 1 cited

Bounding generalization error with input compression: An empirical study with infinite-width networks

Angus Galloway, Anna Golubeva, Mahmoud Salem +3

Estimating the Generalization Error (GE) of Deep Neural Networks (DNNs) is an important task that often relies on availability of held-out data. The ability to better predict GE ba…

cs.LG2021★ 1 cited

The Exponentially Tilted Gaussian Prior for Variational Autoencoders

Griffin Floto, Stefan Kremer, Mihai Nica

An important property for deep neural networks is the ability to perform robust out-of-distribution detection on previously unseen data. This property is essential for safety purpo…

cs.LG2020★ 61 cited

A Derivative-Free Method for Solving Elliptic Partial Differential Equations with Deep Neural Networks

Jihun Han, Mihai Nica, Adam R Stinchcombe

We introduce a deep neural network based method for solving a class of elliptic partial differential equations. We approximate the solution of the PDE with a deep neural network wh…

cs.LG2019★ 21 cited

Finite Depth and Width Corrections to the Neural Tangent Kernel

Boris Hanin, Mihai Nica

We prove the precise scaling, at finite depth and width, for the mean and variance of the neural tangent kernel (NTK) in a randomly initialized ReLU network. The standard deviation…