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To understand deep learning we need to understand kernel learning
v1v2v3 (latest)

To understand deep learning we need to understand kernel learning

5 February 2018
M. Belkin
Siyuan Ma
Soumik Mandal
ArXiv (abs)PDFHTML

Papers citing "To understand deep learning we need to understand kernel learning"

50 / 271 papers shown
Title
Training NTK to Generalize with KARE
Training NTK to Generalize with KARE
Johannes Schwab
Bryan Kelly
Semyon Malamud
Teng Andrea Xu
149
0
0
16 May 2025
Deep Learning is Not So Mysterious or Different
Andrew Gordon Wilson
101
6
0
03 Mar 2025
Feature maps for the Laplacian kernel and its generalizations
Feature maps for the Laplacian kernel and its generalizations
Sudhendu Ahir
Parthe Pandit
101
0
0
24 Feb 2025
Understanding Generalization in Transformers: Error Bounds and Training Dynamics Under Benign and Harmful Overfitting
Understanding Generalization in Transformers: Error Bounds and Training Dynamics Under Benign and Harmful Overfitting
Yingying Zhang
Zhikai Wu
Jian Li
Yang Liu
MLTAI4CE
62
1
0
18 Feb 2025
Learning Theory for Kernel Bilevel Optimization
Learning Theory for Kernel Bilevel Optimization
Fares El Khoury
Edouard Pauwels
Samuel Vaiter
Michael Arbel
448
0
0
12 Feb 2025
Beyond Batch Learning: Global Awareness Enhanced Domain Adaptation
Lingkun Luo
Shiqiang Hu
Liming Chen
174
0
0
10 Feb 2025
A theoretical framework for overfitting in energy-based modeling
A theoretical framework for overfitting in energy-based modeling
Giovanni Catania
A. Decelle
Cyril Furtlehner
Beatriz Seoane
183
2
0
31 Jan 2025
Image Classification with Deep Reinforcement Active Learning
Image Classification with Deep Reinforcement Active Learning
Mingyuan Jiu
Xuguang Song
H. Sahbi
Shupan Li
Yan Chen
Wei Guo
Lihua Guo
Mingliang Xu
VLM
56
1
0
31 Dec 2024
Towards Simple and Provable Parameter-Free Adaptive Gradient Methods
Towards Simple and Provable Parameter-Free Adaptive Gradient Methods
Yuanzhe Tao
Huizhuo Yuan
Xun Zhou
Yuan Cao
Q. Gu
ODL
66
0
0
27 Dec 2024
Fast training of large kernel models with delayed projections
Fast training of large kernel models with delayed projections
Amirhesam Abedsoltan
Siyuan Ma
Parthe Pandit
Mikhail Belkin
119
1
0
25 Nov 2024
Infinite Width Limits of Self Supervised Neural Networks
Maximilian Fleissner
Gautham Govind Anil
Debarghya Ghoshdastidar
SSL
465
1
0
17 Nov 2024
Double Descent Meets Out-of-Distribution Detection: Theoretical Insights and Empirical Analysis on the role of model complexity
Double Descent Meets Out-of-Distribution Detection: Theoretical Insights and Empirical Analysis on the role of model complexity
Mouin Ben Ammar
David Brellmann
Arturo Mendoza
Antoine Manzanera
Gianni Franchi
OODD
116
0
0
04 Nov 2024
Theoretical Limitations of Ensembles in the Age of Overparameterization
Theoretical Limitations of Ensembles in the Age of Overparameterization
Niclas Dern
John P. Cunningham
Geoff Pleiss
BDLUQCV
92
1
0
21 Oct 2024
On Goodhart's law, with an application to value alignment
On Goodhart's law, with an application to value alignment
El-Mahdi El-Mhamdi
Lê-Nguyên Hoang
43
0
0
12 Oct 2024
Classical Statistical (In-Sample) Intuitions Don't Generalize Well: A
  Note on Bias-Variance Tradeoffs, Overfitting and Moving from Fixed to Random
  Designs
Classical Statistical (In-Sample) Intuitions Don't Generalize Well: A Note on Bias-Variance Tradeoffs, Overfitting and Moving from Fixed to Random Designs
Alicia Curth
59
3
0
27 Sep 2024
Input Space Mode Connectivity in Deep Neural Networks
Input Space Mode Connectivity in Deep Neural Networks
Jakub Vrabel
Ori Shem-Ur
Yaron Oz
David Krueger
110
1
0
09 Sep 2024
Can We Theoretically Quantify the Impacts of Local Updates on the
  Generalization Performance of Federated Learning?
Can We Theoretically Quantify the Impacts of Local Updates on the Generalization Performance of Federated Learning?
Peizhong Ju
Haibo Yang
Jia Liu
Yingbin Liang
Ness B. Shroff
FedML
80
0
0
05 Sep 2024
Theoretical Insights into Overparameterized Models in Multi-Task and Replay-Based Continual Learning
Theoretical Insights into Overparameterized Models in Multi-Task and Replay-Based Continual Learning
Mohammadamin Banayeeanzade
Mahdi Soltanolkotabi
Mohammad Rostami
CLLLRM
311
4
0
29 Aug 2024
Generalization bounds for regression and classification on adaptive
  covering input domains
Generalization bounds for regression and classification on adaptive covering input domains
Wen-Liang Hwang
67
0
0
29 Jul 2024
Geometrically Inspired Kernel Machines for Collaborative Learning Beyond
  Gradient Descent
Geometrically Inspired Kernel Machines for Collaborative Learning Beyond Gradient Descent
Mohit Kumar
Alexander Valentinitsch
Magdalena Fuchs
Mathias Brucker
Juliana Bowles
Adnan Husaković
Ali Abbas
Bernhard A. Moser
109
0
0
05 Jul 2024
Over-parameterization and Adversarial Robustness in Neural Networks: An
  Overview and Empirical Analysis
Over-parameterization and Adversarial Robustness in Neural Networks: An Overview and Empirical Analysis
Zhang Chen
Christian Scano
Srishti Gupta
Xiaoyi Feng
Zhaoqiang Xia
...
Maura Pintor
Luca Oneto
Ambra Demontis
Battista Biggio
Fabio Roli
AAML
87
2
0
14 Jun 2024
Precise analysis of ridge interpolators under heavy correlations -- a
  Random Duality Theory view
Precise analysis of ridge interpolators under heavy correlations -- a Random Duality Theory view
Mihailo Stojnic
49
1
0
13 Jun 2024
Ridge interpolators in correlated factor regression models -- exact risk
  analysis
Ridge interpolators in correlated factor regression models -- exact risk analysis
Mihailo Stojnic
57
1
0
13 Jun 2024
Learning Analysis of Kernel Ridgeless Regression with Asymmetric Kernel
  Learning
Learning Analysis of Kernel Ridgeless Regression with Asymmetric Kernel Learning
Fan He
Mingzhe He
Lei Shi
Xiaolin Huang
Johan A. K. Suykens
68
1
0
03 Jun 2024
Machine Learning Robustness: A Primer
Machine Learning Robustness: A Primer
Houssem Ben Braiek
Foutse Khomh
AAMLOOD
106
8
0
01 Apr 2024
On the Benefits of Over-parameterization for Out-of-Distribution
  Generalization
On the Benefits of Over-parameterization for Out-of-Distribution Generalization
Yifan Hao
Yong Lin
Difan Zou
Tong Zhang
OODDOOD
88
6
0
26 Mar 2024
Near-Interpolators: Rapid Norm Growth and the Trade-Off between
  Interpolation and Generalization
Near-Interpolators: Rapid Norm Growth and the Trade-Off between Interpolation and Generalization
Yutong Wang
Rishi Sonthalia
Wei Hu
108
5
0
12 Mar 2024
Benign overfitting in leaky ReLU networks with moderate input dimension
Benign overfitting in leaky ReLU networks with moderate input dimension
Kedar Karhadkar
Erin E. George
Michael Murray
Guido Montúfar
Deanna Needell
MLT
85
2
0
11 Mar 2024
From Zero to Hero: How local curvature at artless initial conditions
  leads away from bad minima
From Zero to Hero: How local curvature at artless initial conditions leads away from bad minima
Tony Bonnaire
Giulio Biroli
C. Cammarota
115
0
0
04 Mar 2024
Model Collapse Demystified: The Case of Regression
Model Collapse Demystified: The Case of Regression
Elvis Dohmatob
Yunzhen Feng
Julia Kempe
104
38
0
12 Feb 2024
The Optimality of Kernel Classifiers in Sobolev Space
The Optimality of Kernel Classifiers in Sobolev Space
Jianfa Lai
Zhifan Li
Dongming Huang
Qian Lin
64
1
0
02 Feb 2024
Spectrally Transformed Kernel Regression
Spectrally Transformed Kernel Regression
Runtian Zhai
Rattana Pukdee
Roger Jin
Maria-Florina Balcan
Pradeep Ravikumar
BDL
74
2
0
01 Feb 2024
The Surprising Harmfulness of Benign Overfitting for Adversarial
  Robustness
The Surprising Harmfulness of Benign Overfitting for Adversarial Robustness
Yifan Hao
Tong Zhang
AAML
144
5
0
19 Jan 2024
MVPatch: More Vivid Patch for Adversarial Camouflaged Attacks on Object
  Detectors in the Physical World
MVPatch: More Vivid Patch for Adversarial Camouflaged Attacks on Object Detectors in the Physical World
Zheng Zhou
Hong Zhao
Ju Liu
Qiaosheng Zhang
Liwei Geng
Shuchang Lyu
W. Feng
AAML
80
2
0
29 Dec 2023
Critical Influence of Overparameterization on Sharpness-aware Minimization
Critical Influence of Overparameterization on Sharpness-aware Minimization
Sungbin Shin
Dongyeop Lee
Maksym Andriushchenko
Namhoon Lee
AAML
160
2
0
29 Nov 2023
Applying statistical learning theory to deep learning
Applying statistical learning theory to deep learning
Cédric Gerbelot
Avetik G. Karagulyan
Stefani Karp
Kavya Ravichandran
Menachem Stern
Nathan Srebro
FedML
53
2
0
26 Nov 2023
Anonymous Learning via Look-Alike Clustering: A Precise Analysis of
  Model Generalization
Anonymous Learning via Look-Alike Clustering: A Precise Analysis of Model Generalization
Adel Javanmard
Vahab Mirrokni
97
2
0
06 Oct 2023
Optimal Nonlinearities Improve Generalization Performance of Random
  Features
Optimal Nonlinearities Improve Generalization Performance of Random Features
Samet Demir
Zafer Dogan
MLT
27
2
0
28 Sep 2023
A Spectral Theory of Neural Prediction and Alignment
A Spectral Theory of Neural Prediction and Alignment
Abdulkadir Canatar
J. Feather
Albert J. Wakhloo
SueYeon Chung
OOD
77
15
0
22 Sep 2023
How many Neurons do we need? A refined Analysis for Shallow Networks
  trained with Gradient Descent
How many Neurons do we need? A refined Analysis for Shallow Networks trained with Gradient Descent
Mike Nguyen
Nicole Mücke
MLT
84
6
0
14 Sep 2023
Optimization Guarantees of Unfolded ISTA and ADMM Networks With Smooth
  Soft-Thresholding
Optimization Guarantees of Unfolded ISTA and ADMM Networks With Smooth Soft-Thresholding
Shaik Basheeruddin Shah
Pradyumna Pradhan
Wei Pu
Ramunaidu Randhi
Miguel R. D. Rodrigues
Yonina C. Eldar
82
4
0
12 Sep 2023
An Adaptive Tangent Feature Perspective of Neural Networks
An Adaptive Tangent Feature Perspective of Neural Networks
Daniel LeJeune
Sina Alemohammad
68
1
0
29 Aug 2023
Six Lectures on Linearized Neural Networks
Six Lectures on Linearized Neural Networks
Theodor Misiakiewicz
Andrea Montanari
137
13
0
25 Aug 2023
Consciousness in Artificial Intelligence: Insights from the Science of
  Consciousness
Consciousness in Artificial Intelligence: Insights from the Science of Consciousness
Patrick Butlin
R. Long
Eric Elmoznino
Yoshua Bengio
Jonathan C. P. Birch
...
L. Mudrik
Megan A. K. Peters
Eric Schwitzgebel
Jonathan Simon
Rufin VanRullen
LLMAG
85
107
0
17 Aug 2023
Size Lowerbounds for Deep Operator Networks
Size Lowerbounds for Deep Operator Networks
Anirbit Mukherjee
Amartya Roy
AI4CE
70
3
0
11 Aug 2023
Large Language Models
Large Language Models
Michael R Douglas
LLMAGLM&MA
177
645
0
11 Jul 2023
Solving Kernel Ridge Regression with Gradient-Based Optimization Methods
Solving Kernel Ridge Regression with Gradient-Based Optimization Methods
Oskar Allerbo
14
1
0
29 Jun 2023
Training shallow ReLU networks on noisy data using hinge loss: when do
  we overfit and is it benign?
Training shallow ReLU networks on noisy data using hinge loss: when do we overfit and is it benign?
Erin E. George
Michael Murray
W. Swartworth
Deanna Needell
MLT
61
5
0
16 Jun 2023
Generalization Performance of Transfer Learning: Overparameterized and
  Underparameterized Regimes
Generalization Performance of Transfer Learning: Overparameterized and Underparameterized Regimes
Peizhong Ju
Sen Lin
M. Squillante
Yitao Liang
Ness B. Shroff
54
2
0
08 Jun 2023
Continual Learning in Linear Classification on Separable Data
Continual Learning in Linear Classification on Separable Data
Itay Evron
E. Moroshko
G. Buzaglo
M. Khriesh
B. Marjieh
Nathan Srebro
Daniel Soudry
CLL
72
17
0
06 Jun 2023
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