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A Universal Trade-off Between the Model Size, Test Loss, and Training
  Loss of Linear Predictors

A Universal Trade-off Between the Model Size, Test Loss, and Training Loss of Linear Predictors

23 July 2022
Nikhil Ghosh
M. Belkin
ArXivPDFHTML

Papers citing "A Universal Trade-off Between the Model Size, Test Loss, and Training Loss of Linear Predictors"

27 / 27 papers shown
Title
Benign Overfitting in Linear Classifiers and Leaky ReLU Networks from
  KKT Conditions for Margin Maximization
Benign Overfitting in Linear Classifiers and Leaky ReLU Networks from KKT Conditions for Margin Maximization
Spencer Frei
Gal Vardi
Peter L. Bartlett
Nathan Srebro
41
23
0
02 Mar 2023
Benign overfitting and adaptive nonparametric regression
Benign overfitting and adaptive nonparametric regression
J. Chhor
Suzanne Sigalla
Alexandre B. Tsybakov
25
3
0
27 Jun 2022
Memorize to Generalize: on the Necessity of Interpolation in High
  Dimensional Linear Regression
Memorize to Generalize: on the Necessity of Interpolation in High Dimensional Linear Regression
Chen Cheng
John C. Duchi
Rohith Kuditipudi
21
10
0
20 Feb 2022
Benign Overfitting in Two-layer Convolutional Neural Networks
Benign Overfitting in Two-layer Convolutional Neural Networks
Yuan Cao
Zixiang Chen
M. Belkin
Quanquan Gu
MLT
41
88
0
14 Feb 2022
Benign Overfitting without Linearity: Neural Network Classifiers Trained
  by Gradient Descent for Noisy Linear Data
Benign Overfitting without Linearity: Neural Network Classifiers Trained by Gradient Descent for Noisy Linear Data
Spencer Frei
Niladri S. Chatterji
Peter L. Bartlett
MLT
51
72
0
11 Feb 2022
Foolish Crowds Support Benign Overfitting
Foolish Crowds Support Benign Overfitting
Niladri S. Chatterji
Philip M. Long
103
20
0
06 Oct 2021
Uniform Convergence of Interpolators: Gaussian Width, Norm Bounds, and
  Benign Overfitting
Uniform Convergence of Interpolators: Gaussian Width, Norm Bounds, and Benign Overfitting
Frederic Koehler
Lijia Zhou
Danica J. Sutherland
Nathan Srebro
61
56
0
17 Jun 2021
Towards an Understanding of Benign Overfitting in Neural Networks
Towards an Understanding of Benign Overfitting in Neural Networks
Zhu Li
Zhi Zhou
Arthur Gretton
MLT
62
35
0
06 Jun 2021
A Universal Law of Robustness via Isoperimetry
A Universal Law of Robustness via Isoperimetry
Sébastien Bubeck
Mark Sellke
27
215
0
26 May 2021
Benign Overfitting of Constant-Stepsize SGD for Linear Regression
Benign Overfitting of Constant-Stepsize SGD for Linear Regression
Difan Zou
Jingfeng Wu
Vladimir Braverman
Quanquan Gu
Sham Kakade
22
63
0
23 Mar 2021
Generalization error of random features and kernel methods:
  hypercontractivity and kernel matrix concentration
Generalization error of random features and kernel methods: hypercontractivity and kernel matrix concentration
Song Mei
Theodor Misiakiewicz
Andrea Montanari
53
111
0
26 Jan 2021
When is Memorization of Irrelevant Training Data Necessary for
  High-Accuracy Learning?
When is Memorization of Irrelevant Training Data Necessary for High-Accuracy Learning?
Gavin Brown
Mark Bun
Vitaly Feldman
Adam D. Smith
Kunal Talwar
272
93
0
11 Dec 2020
On the Universality of the Double Descent Peak in Ridgeless Regression
On the Universality of the Double Descent Peak in Ridgeless Regression
David Holzmüller
20
12
0
05 Oct 2020
Benign overfitting in ridge regression
Benign overfitting in ridge regression
Alexander Tsigler
Peter L. Bartlett
40
164
0
29 Sep 2020
The Neural Tangent Kernel in High Dimensions: Triple Descent and a
  Multi-Scale Theory of Generalization
The Neural Tangent Kernel in High Dimensions: Triple Descent and a Multi-Scale Theory of Generalization
Ben Adlam
Jeffrey Pennington
25
123
0
15 Aug 2020
The generalization error of random features regression: Precise
  asymptotics and double descent curve
The generalization error of random features regression: Precise asymptotics and double descent curve
Song Mei
Andrea Montanari
68
631
0
14 Aug 2019
Benign Overfitting in Linear Regression
Benign Overfitting in Linear Regression
Peter L. Bartlett
Philip M. Long
Gábor Lugosi
Alexander Tsigler
MLT
44
769
0
26 Jun 2019
Does Learning Require Memorization? A Short Tale about a Long Tail
Does Learning Require Memorization? A Short Tale about a Long Tail
Vitaly Feldman
TDI
113
489
0
12 Jun 2019
Harmless interpolation of noisy data in regression
Harmless interpolation of noisy data in regression
Vidya Muthukumar
Kailas Vodrahalli
Vignesh Subramanian
A. Sahai
45
204
0
21 Mar 2019
Surprises in High-Dimensional Ridgeless Least Squares Interpolation
Surprises in High-Dimensional Ridgeless Least Squares Interpolation
Trevor Hastie
Andrea Montanari
Saharon Rosset
Robert Tibshirani
113
737
0
19 Mar 2019
Two models of double descent for weak features
Two models of double descent for weak features
M. Belkin
Daniel J. Hsu
Ji Xu
77
375
0
18 Mar 2019
Reconciling modern machine learning practice and the bias-variance
  trade-off
Reconciling modern machine learning practice and the bias-variance trade-off
M. Belkin
Daniel J. Hsu
Siyuan Ma
Soumik Mandal
166
1,628
0
28 Dec 2018
Just Interpolate: Kernel "Ridgeless" Regression Can Generalize
Just Interpolate: Kernel "Ridgeless" Regression Can Generalize
Tengyuan Liang
Alexander Rakhlin
34
353
0
01 Aug 2018
Does data interpolation contradict statistical optimality?
Does data interpolation contradict statistical optimality?
M. Belkin
Alexander Rakhlin
Alexandre B. Tsybakov
57
218
0
25 Jun 2018
Overfitting or perfect fitting? Risk bounds for classification and
  regression rules that interpolate
Overfitting or perfect fitting? Risk bounds for classification and regression rules that interpolate
M. Belkin
Daniel J. Hsu
P. Mitra
AI4CE
122
256
0
13 Jun 2018
Ridge regression and asymptotic minimax estimation over spheres of
  growing dimension
Ridge regression and asymptotic minimax estimation over spheres of growing dimension
Lee H. Dicker
56
75
0
15 Jan 2016
High-Dimensional Asymptotics of Prediction: Ridge Regression and
  Classification
High-Dimensional Asymptotics of Prediction: Ridge Regression and Classification
Yan Sun
Stefan Wager
41
288
0
10 Jul 2015
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