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Towards Understanding the Spectral Bias of Deep Learning

Towards Understanding the Spectral Bias of Deep Learning

3 December 2019
Yuan Cao
Zhiying Fang
Yue Wu
Ding-Xuan Zhou
Quanquan Gu
ArXivPDFHTML

Papers citing "Towards Understanding the Spectral Bias of Deep Learning"

29 / 129 papers shown
Title
Spectral Analysis of the Neural Tangent Kernel for Deep Residual
  Networks
Spectral Analysis of the Neural Tangent Kernel for Deep Residual Networks
Yuval Belfer
Amnon Geifman
Meirav Galun
Ronen Basri
20
17
0
07 Apr 2021
The Discovery of Dynamics via Linear Multistep Methods and Deep
  Learning: Error Estimation
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation
Q. Du
Yiqi Gu
Haizhao Yang
Chao Zhou
26
20
0
21 Mar 2021
Exploring The Effect of High-frequency Components in GANs Training
Exploring The Effect of High-frequency Components in GANs Training
Ziqiang Li
Pengfei Xia
Xue Rui
Bin Li
GAN
46
17
0
20 Mar 2021
Double-descent curves in neural networks: a new perspective using
  Gaussian processes
Double-descent curves in neural networks: a new perspective using Gaussian processes
Ouns El Harzli
Bernardo Cuenca Grau
Guillermo Valle Pérez
A. Louis
20
6
0
14 Feb 2021
Reproducing Activation Function for Deep Learning
Reproducing Activation Function for Deep Learning
Senwei Liang
Liyao Lyu
Chunmei Wang
Haizhao Yang
36
21
0
13 Jan 2021
Frequency Principle in Deep Learning Beyond Gradient-descent-based
  Training
Frequency Principle in Deep Learning Beyond Gradient-descent-based Training
Yuheng Ma
Zhi-Qin John Xu
Jiwei Zhang
24
7
0
04 Jan 2021
On the eigenvector bias of Fourier feature networks: From regression to
  solving multi-scale PDEs with physics-informed neural networks
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks
Sizhuang He
Hanwen Wang
P. Perdikaris
131
439
0
18 Dec 2020
Fourier-domain Variational Formulation and Its Well-posedness for
  Supervised Learning
Fourier-domain Variational Formulation and Its Well-posedness for Supervised Learning
Tao Luo
Zheng Ma
Zhiwei Wang
Zhi-Qin John Xu
Yaoyu Zhang
OOD
44
4
0
06 Dec 2020
Gradient Starvation: A Learning Proclivity in Neural Networks
Gradient Starvation: A Learning Proclivity in Neural Networks
Mohammad Pezeshki
Sekouba Kaba
Yoshua Bengio
Aaron Courville
Doina Precup
Guillaume Lajoie
MLT
50
257
0
18 Nov 2020
On the exact computation of linear frequency principle dynamics and its
  generalization
On the exact computation of linear frequency principle dynamics and its generalization
Tao Luo
Zheng Ma
Z. Xu
Yaoyu Zhang
11
19
0
15 Oct 2020
Neural Thompson Sampling
Neural Thompson Sampling
Weitong Zhang
Dongruo Zhou
Lihong Li
Quanquan Gu
26
114
0
02 Oct 2020
Deep Equals Shallow for ReLU Networks in Kernel Regimes
Deep Equals Shallow for ReLU Networks in Kernel Regimes
A. Bietti
Francis R. Bach
28
86
0
30 Sep 2020
Deep Neural Tangent Kernel and Laplace Kernel Have the Same RKHS
Deep Neural Tangent Kernel and Laplace Kernel Have the Same RKHS
Lin Chen
Sheng Xu
30
93
0
22 Sep 2020
Implicit Regularization via Neural Feature Alignment
Implicit Regularization via Neural Feature Alignment
A. Baratin
Thomas George
César Laurent
R. Devon Hjelm
Guillaume Lajoie
Pascal Vincent
Simon Lacoste-Julien
18
6
0
03 Aug 2020
When and why PINNs fail to train: A neural tangent kernel perspective
When and why PINNs fail to train: A neural tangent kernel perspective
Sizhuang He
Xinling Yu
P. Perdikaris
33
878
0
28 Jul 2020
Deep frequency principle towards understanding why deeper learning is
  faster
Deep frequency principle towards understanding why deeper learning is faster
Zhi-Qin John Xu
Hanxu Zhou
16
44
0
28 Jul 2020
Regularization Matters: A Nonparametric Perspective on Overparametrized
  Neural Network
Regularization Matters: A Nonparametric Perspective on Overparametrized Neural Network
Tianyang Hu
Wei Cao
Cong Lin
Guang Cheng
19
51
0
06 Jul 2020
On the Similarity between the Laplace and Neural Tangent Kernels
On the Similarity between the Laplace and Neural Tangent Kernels
Amnon Geifman
A. Yadav
Yoni Kasten
Meirav Galun
David Jacobs
Ronen Basri
13
88
0
03 Jul 2020
The Surprising Simplicity of the Early-Time Learning Dynamics of Neural
  Networks
The Surprising Simplicity of the Early-Time Learning Dynamics of Neural Networks
Wei Hu
Lechao Xiao
Ben Adlam
Jeffrey Pennington
23
62
0
25 Jun 2020
Spectral Bias and Task-Model Alignment Explain Generalization in Kernel
  Regression and Infinitely Wide Neural Networks
Spectral Bias and Task-Model Alignment Explain Generalization in Kernel Regression and Infinitely Wide Neural Networks
Abdulkadir Canatar
Blake Bordelon
Cengiz Pehlevan
22
181
0
23 Jun 2020
Optimal Rates for Averaged Stochastic Gradient Descent under Neural
  Tangent Kernel Regime
Optimal Rates for Averaged Stochastic Gradient Descent under Neural Tangent Kernel Regime
Atsushi Nitanda
Taiji Suzuki
6
41
0
22 Jun 2020
When Does Preconditioning Help or Hurt Generalization?
When Does Preconditioning Help or Hurt Generalization?
S. Amari
Jimmy Ba
Roger C. Grosse
Xuechen Li
Atsushi Nitanda
Taiji Suzuki
Denny Wu
Ji Xu
36
32
0
18 Jun 2020
Rethink the Connections among Generalization, Memorization and the
  Spectral Bias of DNNs
Rethink the Connections among Generalization, Memorization and the Spectral Bias of DNNs
Xiao Zhang
Haoyi Xiong
Dongrui Wu
9
12
0
29 Apr 2020
Frequency Bias in Neural Networks for Input of Non-Uniform Density
Frequency Bias in Neural Networks for Input of Non-Uniform Density
Ronen Basri
Meirav Galun
Amnon Geifman
David Jacobs
Yoni Kasten
S. Kritchman
39
183
0
10 Mar 2020
A Generalized Neural Tangent Kernel Analysis for Two-layer Neural
  Networks
A Generalized Neural Tangent Kernel Analysis for Two-layer Neural Networks
Zixiang Chen
Yuan Cao
Quanquan Gu
Tong Zhang
MLT
35
10
0
10 Feb 2020
Spectrum Dependent Learning Curves in Kernel Regression and Wide Neural
  Networks
Spectrum Dependent Learning Curves in Kernel Regression and Wide Neural Networks
Blake Bordelon
Abdulkadir Canatar
Cengiz Pehlevan
146
201
0
07 Feb 2020
Pyramid Convolutional RNN for MRI Image Reconstruction
Pyramid Convolutional RNN for MRI Image Reconstruction
Eric Z. Chen
Puyang Wang
Xiao Chen
Terrence Chen
Shanhui Sun
13
41
0
02 Dec 2019
Benign Overfitting in Linear Regression
Benign Overfitting in Linear Regression
Peter L. Bartlett
Philip M. Long
Gábor Lugosi
Alexander Tsigler
MLT
8
762
0
26 Jun 2019
Exact Convergence Rates of the Neural Tangent Kernel in the Large Depth
  Limit
Exact Convergence Rates of the Neural Tangent Kernel in the Large Depth Limit
Soufiane Hayou
Arnaud Doucet
Judith Rousseau
16
4
0
31 May 2019
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