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The generalization error of random features regression: Precise
  asymptotics and double descent curve
v1v2v3v4v5 (latest)

The generalization error of random features regression: Precise asymptotics and double descent curve

14 August 2019
Song Mei
Andrea Montanari
ArXiv (abs)PDFHTML

Papers citing "The generalization error of random features regression: Precise asymptotics and double descent curve"

50 / 227 papers shown
Title
Memorizing without overfitting: Bias, variance, and interpolation in
  over-parameterized models
Memorizing without overfitting: Bias, variance, and interpolation in over-parameterized models
J. Rocks
Pankaj Mehta
152
43
0
26 Oct 2020
Train simultaneously, generalize better: Stability of gradient-based
  minimax learners
Train simultaneously, generalize better: Stability of gradient-based minimax learners
Farzan Farnia
Asuman Ozdaglar
73
48
0
23 Oct 2020
Precise High-Dimensional Asymptotics for Quantifying Heterogeneous Transfers
Precise High-Dimensional Asymptotics for Quantifying Heterogeneous Transfers
Fan Yang
Hongyang R. Zhang
Sen Wu
Christopher Ré
Weijie J. Su
159
11
0
22 Oct 2020
Precise Statistical Analysis of Classification Accuracies for
  Adversarial Training
Precise Statistical Analysis of Classification Accuracies for Adversarial Training
Adel Javanmard
Mahdi Soltanolkotabi
AAML
105
63
0
21 Oct 2020
What causes the test error? Going beyond bias-variance via ANOVA
What causes the test error? Going beyond bias-variance via ANOVA
Licong Lin
Yan Sun
93
34
0
11 Oct 2020
Strong replica symmetry for high-dimensional disordered log-concave
  Gibbs measures
Strong replica symmetry for high-dimensional disordered log-concave Gibbs measures
Jean Barbier
D. Panchenko
Manuel Sáenz
90
10
0
27 Sep 2020
On the proliferation of support vectors in high dimensions
On the proliferation of support vectors in high dimensions
Daniel J. Hsu
Vidya Muthukumar
Ji Xu
97
45
0
22 Sep 2020
Distributional Generalization: A New Kind of Generalization
Distributional Generalization: A New Kind of Generalization
Preetum Nakkiran
Yamini Bansal
OOD
80
42
0
17 Sep 2020
Asymptotics of Wide Convolutional Neural Networks
Asymptotics of Wide Convolutional Neural Networks
Anders Andreassen
Ethan Dyer
74
23
0
19 Aug 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
58
125
0
15 Aug 2020
Provable More Data Hurt in High Dimensional Least Squares Estimator
Provable More Data Hurt in High Dimensional Least Squares Estimator
Zeng Li
Chuanlong Xie
Qinwen Wang
74
6
0
14 Aug 2020
The Slow Deterioration of the Generalization Error of the Random Feature
  Model
The Slow Deterioration of the Generalization Error of the Random Feature Model
Chao Ma
Lei Wu
E. Weinan
87
15
0
13 Aug 2020
Multiple Descent: Design Your Own Generalization Curve
Multiple Descent: Design Your Own Generalization Curve
Lin Chen
Yifei Min
M. Belkin
Amin Karbasi
DRL
162
61
0
03 Aug 2020
The Interpolation Phase Transition in Neural Networks: Memorization and
  Generalization under Lazy Training
The Interpolation Phase Transition in Neural Networks: Memorization and Generalization under Lazy Training
Andrea Montanari
Yiqiao Zhong
187
97
0
25 Jul 2020
Early Stopping in Deep Networks: Double Descent and How to Eliminate it
Early Stopping in Deep Networks: Double Descent and How to Eliminate it
Reinhard Heckel
Fatih Yilmaz
80
45
0
20 Jul 2020
Beyond Signal Propagation: Is Feature Diversity Necessary in Deep Neural
  Network Initialization?
Beyond Signal Propagation: Is Feature Diversity Necessary in Deep Neural Network Initialization?
Yaniv Blumenfeld
D. Gilboa
Daniel Soudry
ODL
96
14
0
02 Jul 2020
The Gaussian equivalence of generative models for learning with shallow
  neural networks
The Gaussian equivalence of generative models for learning with shallow neural networks
Sebastian Goldt
Bruno Loureiro
Galen Reeves
Florent Krzakala
M. Mézard
Lenka Zdeborová
BDL
110
107
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
156
190
0
23 Jun 2020
On Sparsity in Overparametrised Shallow ReLU Networks
On Sparsity in Overparametrised Shallow ReLU Networks
Jaume de Dios
Joan Bruna
63
14
0
18 Jun 2020
Kernel Alignment Risk Estimator: Risk Prediction from Training Data
Kernel Alignment Risk Estimator: Risk Prediction from Training Data
Arthur Jacot
Berfin cSimcsek
Francesco Spadaro
Clément Hongler
Franck Gabriel
80
68
0
17 Jun 2020
Reservoir Computing meets Recurrent Kernels and Structured Transforms
Reservoir Computing meets Recurrent Kernels and Structured Transforms
Jonathan Dong
Ruben Ohana
M. Rafayelyan
Florent Krzakala
TPM
74
20
0
12 Jun 2020
Double Double Descent: On Generalization Errors in Transfer Learning
  between Linear Regression Tasks
Double Double Descent: On Generalization Errors in Transfer Learning between Linear Regression Tasks
Yehuda Dar
Richard G. Baraniuk
174
19
0
12 Jun 2020
Asymptotic Errors for Teacher-Student Convex Generalized Linear Models
  (or : How to Prove Kabashima's Replica Formula)
Asymptotic Errors for Teacher-Student Convex Generalized Linear Models (or : How to Prove Kabashima's Replica Formula)
Cédric Gerbelot
A. Abbara
Florent Krzakala
79
49
0
11 Jun 2020
Generalization error in high-dimensional perceptrons: Approaching Bayes
  error with convex optimization
Generalization error in high-dimensional perceptrons: Approaching Bayes error with convex optimization
Benjamin Aubin
Florent Krzakala
Yue M. Lu
Lenka Zdeborová
74
56
0
11 Jun 2020
Asymptotics of Ridge (less) Regression under General Source Condition
Asymptotics of Ridge (less) Regression under General Source Condition
Dominic Richards
Jaouad Mourtada
Lorenzo Rosasco
88
73
0
11 Jun 2020
On Uniform Convergence and Low-Norm Interpolation Learning
On Uniform Convergence and Low-Norm Interpolation Learning
Lijia Zhou
Danica J. Sutherland
Nathan Srebro
69
30
0
10 Jun 2020
On the Optimal Weighted $\ell_2$ Regularization in Overparameterized
  Linear Regression
On the Optimal Weighted ℓ2\ell_2ℓ2​ Regularization in Overparameterized Linear Regression
Denny Wu
Ji Xu
75
123
0
10 Jun 2020
A Random Matrix Analysis of Random Fourier Features: Beyond the Gaussian
  Kernel, a Precise Phase Transition, and the Corresponding Double Descent
A Random Matrix Analysis of Random Fourier Features: Beyond the Gaussian Kernel, a Precise Phase Transition, and the Corresponding Double Descent
Zhenyu Liao
Romain Couillet
Michael W. Mahoney
91
93
0
09 Jun 2020
Halting Time is Predictable for Large Models: A Universality Property
  and Average-case Analysis
Halting Time is Predictable for Large Models: A Universality Property and Average-case Analysis
Courtney Paquette
B. V. Merrienboer
Elliot Paquette
Fabian Pedregosa
99
27
0
08 Jun 2020
Triple descent and the two kinds of overfitting: Where & why do they
  appear?
Triple descent and the two kinds of overfitting: Where & why do they appear?
Stéphane dÁscoli
Levent Sagun
Giulio Biroli
85
80
0
05 Jun 2020
Optimal Learning with Excitatory and Inhibitory synapses
Optimal Learning with Excitatory and Inhibitory synapses
Alessandro Ingrosso
46
5
0
25 May 2020
Spectra of the Conjugate Kernel and Neural Tangent Kernel for
  linear-width neural networks
Spectra of the Conjugate Kernel and Neural Tangent Kernel for linear-width neural networks
Z. Fan
Zhichao Wang
109
74
0
25 May 2020
Model Repair: Robust Recovery of Over-Parameterized Statistical Models
Model Repair: Robust Recovery of Over-Parameterized Statistical Models
Chao Gao
John D. Lafferty
42
6
0
20 May 2020
Classification vs regression in overparameterized regimes: Does the loss
  function matter?
Classification vs regression in overparameterized regimes: Does the loss function matter?
Vidya Muthukumar
Adhyyan Narang
Vignesh Subramanian
M. Belkin
Daniel J. Hsu
A. Sahai
114
151
0
16 May 2020
An Investigation of Why Overparameterization Exacerbates Spurious
  Correlations
An Investigation of Why Overparameterization Exacerbates Spurious Correlations
Shiori Sagawa
Aditi Raghunathan
Pang Wei Koh
Percy Liang
206
383
0
09 May 2020
Generalization Error of Generalized Linear Models in High Dimensions
Generalization Error of Generalized Linear Models in High Dimensions
M Motavali Emami
Mojtaba Sahraee-Ardakan
Parthe Pandit
S. Rangan
A. Fletcher
AI4CE
59
39
0
01 May 2020
Finite-sample Analysis of Interpolating Linear Classifiers in the
  Overparameterized Regime
Finite-sample Analysis of Interpolating Linear Classifiers in the Overparameterized Regime
Niladri S. Chatterji
Philip M. Long
95
109
0
25 Apr 2020
Random Features for Kernel Approximation: A Survey on Algorithms,
  Theory, and Beyond
Random Features for Kernel Approximation: A Survey on Algorithms, Theory, and Beyond
Fanghui Liu
Xiaolin Huang
Yudong Chen
Johan A. K. Suykens
BDL
124
176
0
23 Apr 2020
Mehler's Formula, Branching Process, and Compositional Kernels of Deep
  Neural Networks
Mehler's Formula, Branching Process, and Compositional Kernels of Deep Neural Networks
Tengyuan Liang
Hai Tran-Bach
48
11
0
09 Apr 2020
Regularization in High-Dimensional Regression and Classification via
  Random Matrix Theory
Regularization in High-Dimensional Regression and Classification via Random Matrix Theory
Panagiotis Lolas
84
14
0
30 Mar 2020
Getting Better from Worse: Augmented Bagging and a Cautionary Tale of
  Variable Importance
Getting Better from Worse: Augmented Bagging and a Cautionary Tale of Variable Importance
L. Mentch
Siyu Zhou
102
14
0
07 Mar 2020
Rethinking Parameter Counting in Deep Models: Effective Dimensionality
  Revisited
Rethinking Parameter Counting in Deep Models: Effective Dimensionality Revisited
Wesley J. Maddox
Gregory W. Benton
A. Wilson
136
61
0
04 Mar 2020
Optimal Regularization Can Mitigate Double Descent
Optimal Regularization Can Mitigate Double Descent
Preetum Nakkiran
Prayaag Venkat
Sham Kakade
Tengyu Ma
85
133
0
04 Mar 2020
Double Trouble in Double Descent : Bias and Variance(s) in the Lazy
  Regime
Double Trouble in Double Descent : Bias and Variance(s) in the Lazy Regime
Stéphane dÁscoli
Maria Refinetti
Giulio Biroli
Florent Krzakala
186
153
0
02 Mar 2020
Disentangling Adaptive Gradient Methods from Learning Rates
Disentangling Adaptive Gradient Methods from Learning Rates
Naman Agarwal
Rohan Anil
Elad Hazan
Tomer Koren
Cyril Zhang
109
38
0
26 Feb 2020
The role of regularization in classification of high-dimensional noisy
  Gaussian mixture
The role of regularization in classification of high-dimensional noisy Gaussian mixture
Francesca Mignacco
Florent Krzakala
Yue M. Lu
Lenka Zdeborová
56
90
0
26 Feb 2020
Rethinking Bias-Variance Trade-off for Generalization of Neural Networks
Rethinking Bias-Variance Trade-off for Generalization of Neural Networks
Zitong Yang
Yaodong Yu
Chong You
Jacob Steinhardt
Yi-An Ma
83
186
0
26 Feb 2020
The Curious Case of Adversarially Robust Models: More Data Can Help,
  Double Descend, or Hurt Generalization
The Curious Case of Adversarially Robust Models: More Data Can Help, Double Descend, or Hurt Generalization
Yifei Min
Lin Chen
Amin Karbasi
AAML
103
69
0
25 Feb 2020
Subspace Fitting Meets Regression: The Effects of Supervision and
  Orthonormality Constraints on Double Descent of Generalization Errors
Subspace Fitting Meets Regression: The Effects of Supervision and Orthonormality Constraints on Double Descent of Generalization Errors
Yehuda Dar
Paul Mayer
Lorenzo Luzi
Richard G. Baraniuk
135
17
0
25 Feb 2020
Precise Tradeoffs in Adversarial Training for Linear Regression
Precise Tradeoffs in Adversarial Training for Linear Regression
Adel Javanmard
Mahdi Soltanolkotabi
Hamed Hassani
AAML
66
109
0
24 Feb 2020
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