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20122023
most citedDeep Neural Networks as Gaussian Processes

551 citations · 2.1k across the 36 of their papers we have counts for

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Showing 2020Show all

8 papers · 1 filter

stat.ML2020★ 22 cited

Understanding Double Descent Requires a Fine-Grained Bias-Variance Decomposition

Ben Adlam, Jeffrey Pennington

Classical learning theory suggests that the optimal generalization performance of a machine learning model should occur at an intermediate model complexity, with simpler models exh…

stat.ML2020★ 3 cited

Exploring the Uncertainty Properties of Neural Networks' Implicit Priors in the Infinite-Width Limit

Ben Adlam, Jaehoon Lee, Lechao Xiao +2

Modern deep learning models have achieved great success in predictive accuracy for many data modalities. However, their application to many real-world tasks is restricted by poor u…

cs.LG2020★ 13 cited

Temperature check: theory and practice for training models with softmax-cross-entropy losses

Atish Agarwala, Jeffrey Pennington, Yann Dauphin +1

The softmax function combined with a cross-entropy loss is a principled approach to modeling probability distributions that has become ubiquitous in deep learning. The softmax func…

stat.ML2020★ 33 cited

The Neural Tangent Kernel in High Dimensions: Triple Descent and a Multi-Scale Theory of Generalization

Ben Adlam, Jeffrey Pennington

Modern deep learning models employ considerably more parameters than required to fit the training data. Whereas conventional statistical wisdom suggests such models should drastica…

cs.LG2020★ 39 cited

Finite Versus Infinite Neural Networks: an Empirical Study

Jaehoon Lee, Samuel S. Schoenholz, Jeffrey Pennington +4

We perform a careful, thorough, and large scale empirical study of the correspondence between wide neural networks and kernel methods. By doing so, we resolve a variety of open que…

cs.LG2020★ 13 cited

The Surprising Simplicity of the Early-Time Learning Dynamics of Neural Networks

Wei Hu, Lechao Xiao, Ben Adlam +1

Modern neural networks are often regarded as complex black-box functions whose behavior is difficult to understand owing to their nonlinear dependence on the data and the nonconvex…