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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"

50 / 129 papers shown
Title
Physics-informed neural network estimation of active material properties in time-dependent cardiac biomechanical models
Physics-informed neural network estimation of active material properties in time-dependent cardiac biomechanical models
Matthias Höfler
Francesco Regazzoni
S. Pagani
Elias Karabelas
Christoph M. Augustin
Gundolf Haase
Gernot Plank
Federica Caforio
29
0
0
06 May 2025
Deep Learning Optimization Using Self-Adaptive Weighted Auxiliary Variables
Deep Learning Optimization Using Self-Adaptive Weighted Auxiliary Variables
Yaru Liu
Yiqi Gu
Michael K. Ng
ODL
52
0
0
30 Apr 2025
Hadamard product in deep learning: Introduction, Advances and Challenges
Hadamard product in deep learning: Introduction, Advances and Challenges
Grigorios G. Chrysos
Yongtao Wu
Razvan Pascanu
Philip Torr
V. Cevher
AAML
98
0
0
17 Apr 2025
Representation Learning for Tabular Data: A Comprehensive Survey
Representation Learning for Tabular Data: A Comprehensive Survey
Jun-Peng Jiang
Si-Yang Liu
Hao-Run Cai
Qile Zhou
Han-Jia Ye
LMTD
46
0
0
17 Apr 2025
AH-GS: Augmented 3D Gaussian Splatting for High-Frequency Detail Representation
AH-GS: Augmented 3D Gaussian Splatting for High-Frequency Detail Representation
Chenyang Xu
XingGuo Deng
Rui Zhong
34
0
0
28 Mar 2025
Neural Tangent Kernel of Neural Networks with Loss Informed by Differential Operators
Weiye Gan
Yicheng Li
Q. Lin
Zuoqiang Shi
39
0
0
14 Mar 2025
Do ImageNet-trained models learn shortcuts? The impact of frequency shortcuts on generalization
Do ImageNet-trained models learn shortcuts? The impact of frequency shortcuts on generalization
Shunxin Wang
Raymond N. J. Veldhuis
N. Strisciuglio
VLM
71
0
0
05 Mar 2025
On the study of frequency control and spectral bias in Wavelet-Based Kolmogorov Arnold networks: A path to physics-informed KANs
On the study of frequency control and spectral bias in Wavelet-Based Kolmogorov Arnold networks: A path to physics-informed KANs
Juan Daniel Meshir
Abel Palafox
Edgar Alejandro Guerrero
62
3
0
01 Feb 2025
SNeRV: Spectra-preserving Neural Representation for Video
SNeRV: Spectra-preserving Neural Representation for Video
Jina Kim
Jihoo Lee
Je-Won Kang
35
3
0
03 Jan 2025
Addressing Spectral Bias of Deep Neural Networks by Multi-Grade Deep
  Learning
Addressing Spectral Bias of Deep Neural Networks by Multi-Grade Deep Learning
Ronglong Fang
Yuesheng Xu
24
3
0
21 Oct 2024
Fast Training of Sinusoidal Neural Fields via Scaling Initialization
Fast Training of Sinusoidal Neural Fields via Scaling Initialization
Taesun Yeom
Sangyoon Lee
Jaeho Lee
53
2
0
07 Oct 2024
Tuning Frequency Bias of State Space Models
Tuning Frequency Bias of State Space Models
Annan Yu
Dongwei Lyu
S. H. Lim
Michael W. Mahoney
N. Benjamin Erichson
38
2
0
02 Oct 2024
Neural Video Representation for Redundancy Reduction and Consistency
  Preservation
Neural Video Representation for Redundancy Reduction and Consistency Preservation
Taiga Hayami
Takahiro Shindo
Shunsuke Akamatsu
Hiroshi Watanabe
34
1
0
27 Sep 2024
Overfitting Behaviour of Gaussian Kernel Ridgeless Regression: Varying
  Bandwidth or Dimensionality
Overfitting Behaviour of Gaussian Kernel Ridgeless Regression: Varying Bandwidth or Dimensionality
Marko Medvedev
Gal Vardi
Nathan Srebro
56
3
0
05 Sep 2024
Many Perception Tasks are Highly Redundant Functions of their Input Data
Many Perception Tasks are Highly Redundant Functions of their Input Data
Rahul Ramesh
Anthony Bisulco
Ronald W. DiTullio
Linran Wei
Vijay Balasubramanian
Kostas Daniilidis
Pratik Chaudhari
38
2
0
18 Jul 2024
Deep Learning without Global Optimization by Random Fourier Neural Networks
Deep Learning without Global Optimization by Random Fourier Neural Networks
Owen Davis
Gianluca Geraci
Mohammad Motamed
BDL
52
0
0
16 Jul 2024
Fine-grained Analysis of In-context Linear Estimation: Data,
  Architecture, and Beyond
Fine-grained Analysis of In-context Linear Estimation: Data, Architecture, and Beyond
Yingcong Li
A. S. Rawat
Samet Oymak
23
6
0
13 Jul 2024
Model-based learning for multi-antenna multi-frequency location-to-channel mapping
Model-based learning for multi-antenna multi-frequency location-to-channel mapping
Baptiste Chatelier
Vincent Corlay
M. Crussiére
Luc Le Magoarou
31
1
0
17 Jun 2024
Forgetting Order of Continual Learning: Examples That are Learned First
  are Forgotten Last
Forgetting Order of Continual Learning: Examples That are Learned First are Forgotten Last
Guy Hacohen
Tinne Tuytelaars
19
2
0
14 Jun 2024
VS-PINN: A fast and efficient training of physics-informed neural
  networks using variable-scaling methods for solving PDEs with stiff behavior
VS-PINN: A fast and efficient training of physics-informed neural networks using variable-scaling methods for solving PDEs with stiff behavior
Seungchan Ko
Sang Hyeon Park
35
1
0
10 Jun 2024
Physics-enhanced Neural Operator for Simulating Turbulent Transport
Physics-enhanced Neural Operator for Simulating Turbulent Transport
Shengyu Chen
P. Givi
Can Zheng
Xiaowei Jia
AI4CE
36
2
0
31 May 2024
Can the accuracy bias by facial hairstyle be reduced through balancing
  the training data?
Can the accuracy bias by facial hairstyle be reduced through balancing the training data?
Kagan Öztürk
Haiyu Wu
Kevin W. Bowyer
CVBM
25
3
0
30 May 2024
A rationale from frequency perspective for grokking in training neural
  network
A rationale from frequency perspective for grokking in training neural network
Zhangchen Zhou
Yaoyu Zhang
Z. Xu
38
2
0
24 May 2024
Understanding the dynamics of the frequency bias in neural networks
Understanding the dynamics of the frequency bias in neural networks
Juan Molina
Mircea Petrache
F. Sahli Costabal
Matías Courdurier
27
1
0
23 May 2024
Bounds for the smallest eigenvalue of the NTK for arbitrary spherical
  data of arbitrary dimension
Bounds for the smallest eigenvalue of the NTK for arbitrary spherical data of arbitrary dimension
Kedar Karhadkar
Michael Murray
Guido Montúfar
32
2
0
23 May 2024
Loss Jump During Loss Switch in Solving PDEs with Neural Networks
Loss Jump During Loss Switch in Solving PDEs with Neural Networks
Zhiwei Wang
Lulu Zhang
Zhongwang Zhang
Z. Xu
29
0
0
06 May 2024
FastVPINNs: Tensor-Driven Acceleration of VPINNs for Complex Geometries
FastVPINNs: Tensor-Driven Acceleration of VPINNs for Complex Geometries
T. Anandh
Divij Ghose
Himanshu Jain
Sashikumaar Ganesan
22
4
0
18 Apr 2024
Robust NAS under adversarial training: benchmark, theory, and beyond
Robust NAS under adversarial training: benchmark, theory, and beyond
Yongtao Wu
Fanghui Liu
Carl-Johann Simon-Gabriel
Grigorios G. Chrysos
V. Cevher
AAML
OOD
27
3
0
19 Mar 2024
Physics-informed MeshGraphNets (PI-MGNs): Neural finite element solvers
  for non-stationary and nonlinear simulations on arbitrary meshes
Physics-informed MeshGraphNets (PI-MGNs): Neural finite element solvers for non-stationary and nonlinear simulations on arbitrary meshes
Tobias Würth
Niklas Freymuth
C. Zimmerling
Gerhard Neumann
Luise Kärger
AI4CE
24
1
0
16 Feb 2024
Efficient Stagewise Pretraining via Progressive Subnetworks
Efficient Stagewise Pretraining via Progressive Subnetworks
Abhishek Panigrahi
Nikunj Saunshi
Kaifeng Lyu
Sobhan Miryoosefi
Sashank J. Reddi
Satyen Kale
Sanjiv Kumar
32
5
0
08 Feb 2024
Towards Understanding Inductive Bias in Transformers: A View From
  Infinity
Towards Understanding Inductive Bias in Transformers: A View From Infinity
Itay Lavie
Guy Gur-Ari
Z. Ringel
32
1
0
07 Feb 2024
A Novel Paradigm in Solving Multiscale Problems
A Novel Paradigm in Solving Multiscale Problems
Jing Wang
Zheng Li
Pengyu Lai
Rui Wang
Di Yang
Dewu Yang
Hui Xu
Wenquan Tao
AI4CE
14
0
0
07 Feb 2024
Comparing Spectral Bias and Robustness For Two-Layer Neural Networks:
  SGD vs Adaptive Random Fourier Features
Comparing Spectral Bias and Robustness For Two-Layer Neural Networks: SGD vs Adaptive Random Fourier Features
Aku Kammonen
Lisi Liang
Anamika Pandey
Raúl Tempone
26
2
0
01 Feb 2024
Anchor function: a type of benchmark functions for studying language
  models
Anchor function: a type of benchmark functions for studying language models
Zhongwang Zhang
Zhiwei Wang
Junjie Yao
Zhangchen Zhou
Xiaolong Li
E. Weinan
Z. Xu
32
5
0
16 Jan 2024
A Survey on Statistical Theory of Deep Learning: Approximation, Training
  Dynamics, and Generative Models
A Survey on Statistical Theory of Deep Learning: Approximation, Training Dynamics, and Generative Models
Namjoon Suh
Guang Cheng
MedIm
22
12
0
14 Jan 2024
Physics-Informed Neural Networks for High-Frequency and Multi-Scale
  Problems using Transfer Learning
Physics-Informed Neural Networks for High-Frequency and Multi-Scale Problems using Transfer Learning
Abdul Hannan Mustajab
Hao Lyu
Z. Rizvi
Frank Wuttke
AI4CE
PINN
18
9
0
05 Jan 2024
Generalization in Kernel Regression Under Realistic Assumptions
Generalization in Kernel Regression Under Realistic Assumptions
Daniel Barzilai
Ohad Shamir
29
14
0
26 Dec 2023
Model-based Deep Learning for Beam Prediction based on a Channel Chart
Model-based Deep Learning for Beam Prediction based on a Channel Chart
Taha Yassine
Baptiste Chatelier
Vincent Corlay
M. Crussiére
S. Paquelet
Olav Tirkkonen
Luc Le Magoarou
22
5
0
04 Dec 2023
Spectral-wise Implicit Neural Representation for Hyperspectral Image Reconstruction
Spectral-wise Implicit Neural Representation for Hyperspectral Image Reconstruction
Huan Chen
Wangcai Zhao
Tingfa Xu
Shiyun Zhou
Peifu Liu
Jianan Li
44
20
0
02 Dec 2023
Frequency Domain-based Dataset Distillation
Frequency Domain-based Dataset Distillation
DongHyeok Shin
Seungjae Shin
Il-Chul Moon
DD
35
19
0
15 Nov 2023
Harnessing Synthetic Datasets: The Role of Shape Bias in Deep Neural
  Network Generalization
Harnessing Synthetic Datasets: The Role of Shape Bias in Deep Neural Network Generalization
Elior Benarous
Sotiris Anagnostidis
Luca Biggio
Thomas Hofmann
25
3
0
10 Nov 2023
Neural Tangent Kernels Motivate Graph Neural Networks with
  Cross-Covariance Graphs
Neural Tangent Kernels Motivate Graph Neural Networks with Cross-Covariance Graphs
Shervin Khalafi
Saurabh Sihag
Alejandro Ribeiro
11
0
0
16 Oct 2023
How Graph Neural Networks Learn: Lessons from Training Dynamics
How Graph Neural Networks Learn: Lessons from Training Dynamics
Chenxiao Yang
Qitian Wu
David Wipf
Ruoyu Sun
Junchi Yan
AI4CE
GNN
19
1
0
08 Oct 2023
Model-based learning for location-to-channel mapping
Model-based learning for location-to-channel mapping
Baptiste Chatelier
Luc Le Magoarou
Vincent Corlay
M. Crussiére
21
4
0
28 Aug 2023
Six Lectures on Linearized Neural Networks
Six Lectures on Linearized Neural Networks
Theodor Misiakiewicz
Andrea Montanari
34
12
0
25 Aug 2023
An Expert's Guide to Training Physics-informed Neural Networks
An Expert's Guide to Training Physics-informed Neural Networks
Sifan Wang
Shyam Sankaran
Hanwen Wang
P. Perdikaris
PINN
28
96
0
16 Aug 2023
Controlling the Inductive Bias of Wide Neural Networks by Modifying the
  Kernel's Spectrum
Controlling the Inductive Bias of Wide Neural Networks by Modifying the Kernel's Spectrum
Amnon Geifman
Daniel Barzilai
Ronen Basri
Meirav Galun
24
4
0
26 Jul 2023
SPDER: Semiperiodic Damping-Enabled Object Representation
SPDER: Semiperiodic Damping-Enabled Object Representation
Kathan Shah
Chawin Sitawarin
19
2
0
27 Jun 2023
Neural Volumetric Reconstruction for Coherent Synthetic Aperture Sonar
Neural Volumetric Reconstruction for Coherent Synthetic Aperture Sonar
Albert W. Reed
Juhyeon Kim
Thomas E. Blanford
Adithya Pediredla
Daniel C. Brown
Suren Jayasuriya
19
16
0
16 Jun 2023
Understanding and Mitigating Extrapolation Failures in Physics-Informed
  Neural Networks
Understanding and Mitigating Extrapolation Failures in Physics-Informed Neural Networks
Lukas Fesser
Luca DÁmico-Wong
Richard Qiu
28
4
0
15 Jun 2023
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