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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

14 August 2019
Song Mei
Andrea Montanari
ArXivPDFHTML

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

50 / 125 papers shown
Title
Information-theoretic reduction of deep neural networks to linear models in the overparametrized proportional regime
Information-theoretic reduction of deep neural networks to linear models in the overparametrized proportional regime
Francesco Camilli
D. Tieplova
Eleonora Bergamin
Jean Barbier
114
0
0
06 May 2025
A dynamic view of the double descent
A dynamic view of the double descent
Vivek Shripad Borkar
65
0
0
03 May 2025
Online Federation For Mixtures of Proprietary Agents with Black-Box Encoders
Online Federation For Mixtures of Proprietary Agents with Black-Box Encoders
Xuwei Yang
Fatemeh Tavakoli
D. B. Emerson
Anastasis Kratsios
FedML
62
0
0
30 Apr 2025
Deep learning with missing data
Deep learning with missing data
Tianyi Ma
Tengyao Wang
R. Samworth
66
0
0
21 Apr 2025
Quantifying Overfitting along the Regularization Path for Two-Part-Code MDL in Supervised Classification
Xiaohan Zhu
Nathan Srebro
55
0
0
03 Mar 2025
Asymptotic Analysis of Two-Layer Neural Networks after One Gradient Step under Gaussian Mixtures Data with Structure
Asymptotic Analysis of Two-Layer Neural Networks after One Gradient Step under Gaussian Mixtures Data with Structure
Samet Demir
Zafer Dogan
MLT
34
0
0
02 Mar 2025
Deep Linear Network Training Dynamics from Random Initialization: Data, Width, Depth, and Hyperparameter Transfer
Deep Linear Network Training Dynamics from Random Initialization: Data, Width, Depth, and Hyperparameter Transfer
Blake Bordelon
C. Pehlevan
AI4CE
64
1
0
04 Feb 2025
How more data can hurt: Instability and regularization in next-generation reservoir computing
How more data can hurt: Instability and regularization in next-generation reservoir computing
Yuanzhao Zhang
Edmilson Roque dos Santos
Sean P. Cornelius
85
2
0
28 Jan 2025
Analysis of High-dimensional Gaussian Labeled-unlabeled Mixture Model via Message-passing Algorithm
Analysis of High-dimensional Gaussian Labeled-unlabeled Mixture Model via Message-passing Algorithm
Xiaosi Gu
Tomoyuki Obuchi
74
0
0
29 Nov 2024
High-dimensional Analysis of Knowledge Distillation: Weak-to-Strong Generalization and Scaling Laws
High-dimensional Analysis of Knowledge Distillation: Weak-to-Strong Generalization and Scaling Laws
M. E. Ildiz
Halil Alperen Gozeten
Ege Onur Taga
Marco Mondelli
Samet Oymak
56
2
0
24 Oct 2024
Provable Weak-to-Strong Generalization via Benign Overfitting
Provable Weak-to-Strong Generalization via Benign Overfitting
David X. Wu
A. Sahai
73
6
0
06 Oct 2024
LoRanPAC: Low-rank Random Features and Pre-trained Models for Bridging Theory and Practice in Continual Learning
LoRanPAC: Low-rank Random Features and Pre-trained Models for Bridging Theory and Practice in Continual Learning
Liangzu Peng
Juan Elenter
Joshua Agterberg
Alejandro Ribeiro
René Vidal
VLM
CLL
46
1
0
01 Oct 2024
Asymptotic theory of in-context learning by linear attention
Asymptotic theory of in-context learning by linear attention
Yue M. Lu
Mary I. Letey
Jacob A. Zavatone-Veth
Anindita Maiti
C. Pehlevan
29
10
0
20 May 2024
Learning with Norm Constrained, Over-parameterized, Two-layer Neural
  Networks
Learning with Norm Constrained, Over-parameterized, Two-layer Neural Networks
Fanghui Liu
L. Dadi
V. Cevher
82
2
0
29 Apr 2024
Understanding Optimal Feature Transfer via a Fine-Grained Bias-Variance Analysis
Understanding Optimal Feature Transfer via a Fine-Grained Bias-Variance Analysis
Yufan Li
Subhabrata Sen
Ben Adlam
MLT
51
1
0
18 Apr 2024
Predictive Churn with the Set of Good Models
Predictive Churn with the Set of Good Models
J. Watson-Daniels
Flavio du Pin Calmon
Alexander DÁmour
Carol Xuan Long
David C. Parkes
Berk Ustun
83
7
0
12 Feb 2024
Characterizing Overfitting in Kernel Ridgeless Regression Through the
  Eigenspectrum
Characterizing Overfitting in Kernel Ridgeless Regression Through the Eigenspectrum
Tin Sum Cheng
Aurelien Lucchi
Anastasis Kratsios
David Belius
40
8
0
02 Feb 2024
Weak Correlations as the Underlying Principle for Linearization of
  Gradient-Based Learning Systems
Weak Correlations as the Underlying Principle for Linearization of Gradient-Based Learning Systems
Ori Shem-Ur
Yaron Oz
19
0
0
08 Jan 2024
Flat Minima in Linear Estimation and an Extended Gauss Markov Theorem
Flat Minima in Linear Estimation and an Extended Gauss Markov Theorem
Simon Segert
32
0
0
18 Nov 2023
A Theory of Non-Linear Feature Learning with One Gradient Step in Two-Layer Neural Networks
A Theory of Non-Linear Feature Learning with One Gradient Step in Two-Layer Neural Networks
Behrad Moniri
Donghwan Lee
Hamed Hassani
Yan Sun
MLT
40
19
0
11 Oct 2023
Quantitative CLTs in Deep Neural Networks
Quantitative CLTs in Deep Neural Networks
Stefano Favaro
Boris Hanin
Domenico Marinucci
I. Nourdin
G. Peccati
BDL
31
11
0
12 Jul 2023
Precise Asymptotic Generalization for Multiclass Classification with Overparameterized Linear Models
Precise Asymptotic Generalization for Multiclass Classification with Overparameterized Linear Models
David X. Wu
A. Sahai
26
2
0
23 Jun 2023
Quantifying lottery tickets under label noise: accuracy, calibration,
  and complexity
Quantifying lottery tickets under label noise: accuracy, calibration, and complexity
V. Arora
Daniele Irto
Sebastian Goldt
G. Sanguinetti
36
2
0
21 Jun 2023
The RL Perceptron: Generalisation Dynamics of Policy Learning in High
  Dimensions
The RL Perceptron: Generalisation Dynamics of Policy Learning in High Dimensions
Nishil Patel
Sebastian Lee
Stefano Sarao Mannelli
Sebastian Goldt
Adrew Saxe
OffRL
28
3
0
17 Jun 2023
Gibbs-Based Information Criteria and the Over-Parameterized Regime
Gibbs-Based Information Criteria and the Over-Parameterized Regime
Haobo Chen
Yuheng Bu
Greg Wornell
27
1
0
08 Jun 2023
Unraveling Projection Heads in Contrastive Learning: Insights from
  Expansion and Shrinkage
Unraveling Projection Heads in Contrastive Learning: Insights from Expansion and Shrinkage
Yu Gui
Cong Ma
Yiqiao Zhong
22
6
0
06 Jun 2023
Generalized equivalences between subsampling and ridge regularization
Generalized equivalences between subsampling and ridge regularization
Pratik V. Patil
Jin-Hong Du
31
5
0
29 May 2023
Moment-Based Adjustments of Statistical Inference in High-Dimensional
  Generalized Linear Models
Moment-Based Adjustments of Statistical Inference in High-Dimensional Generalized Linear Models
Kazuma Sawaya
Yoshimasa Uematsu
Masaaki Imaizumi
29
2
0
28 May 2023
Bayesian Analysis for Over-parameterized Linear Model via Effective Spectra
Bayesian Analysis for Over-parameterized Linear Model via Effective Spectra
Tomoya Wakayama
Masaaki Imaizumi
57
1
0
25 May 2023
How Spurious Features Are Memorized: Precise Analysis for Random and NTK
  Features
How Spurious Features Are Memorized: Precise Analysis for Random and NTK Features
Simone Bombari
Marco Mondelli
AAML
28
4
0
20 May 2023
Subsample Ridge Ensembles: Equivalences and Generalized Cross-Validation
Subsample Ridge Ensembles: Equivalences and Generalized Cross-Validation
Jin-Hong Du
Pratik V. Patil
Arun K. Kuchibhotla
24
11
0
25 Apr 2023
Do deep neural networks have an inbuilt Occam's razor?
Do deep neural networks have an inbuilt Occam's razor?
Chris Mingard
Henry Rees
Guillermo Valle Pérez
A. Louis
UQCV
BDL
21
16
0
13 Apr 2023
Wide neural networks: From non-gaussian random fields at initialization
  to the NTK geometry of training
Wide neural networks: From non-gaussian random fields at initialization to the NTK geometry of training
Luís Carvalho
Joao L. Costa
José Mourao
Gonccalo Oliveira
AI4CE
26
1
0
06 Apr 2023
On the Stepwise Nature of Self-Supervised Learning
On the Stepwise Nature of Self-Supervised Learning
James B. Simon
Maksis Knutins
Liu Ziyin
Daniel Geisz
Abraham J. Fetterman
Joshua Albrecht
SSL
37
30
0
27 Mar 2023
Online Learning for the Random Feature Model in the Student-Teacher
  Framework
Online Learning for the Random Feature Model in the Student-Teacher Framework
Roman Worschech
B. Rosenow
46
0
0
24 Mar 2023
Over-parametrization via Lifting for Low-rank Matrix Sensing: Conversion
  of Spurious Solutions to Strict Saddle Points
Over-parametrization via Lifting for Low-rank Matrix Sensing: Conversion of Spurious Solutions to Strict Saddle Points
Ziye Ma
Igor Molybog
Javad Lavaei
Somayeh Sojoudi
25
3
0
15 Feb 2023
Precise Asymptotic Analysis of Deep Random Feature Models
Precise Asymptotic Analysis of Deep Random Feature Models
David Bosch
Ashkan Panahi
B. Hassibi
35
19
0
13 Feb 2023
Beyond the Universal Law of Robustness: Sharper Laws for Random Features
  and Neural Tangent Kernels
Beyond the Universal Law of Robustness: Sharper Laws for Random Features and Neural Tangent Kernels
Simone Bombari
Shayan Kiyani
Marco Mondelli
AAML
36
10
0
03 Feb 2023
Bayes-optimal Learning of Deep Random Networks of Extensive-width
Bayes-optimal Learning of Deep Random Networks of Extensive-width
Hugo Cui
Florent Krzakala
Lenka Zdeborová
BDL
20
35
0
01 Feb 2023
Demystifying Disagreement-on-the-Line in High Dimensions
Demystifying Disagreement-on-the-Line in High Dimensions
Dong-Hwan Lee
Behrad Moniri
Xinmeng Huang
Yan Sun
Hamed Hassani
21
8
0
31 Jan 2023
Generalization on the Unseen, Logic Reasoning and Degree Curriculum
Generalization on the Unseen, Logic Reasoning and Degree Curriculum
Emmanuel Abbe
Samy Bengio
Aryo Lotfi
Kevin Rizk
LRM
39
49
0
30 Jan 2023
Gradient flow in the gaussian covariate model: exact solution of
  learning curves and multiple descent structures
Gradient flow in the gaussian covariate model: exact solution of learning curves and multiple descent structures
Antione Bodin
N. Macris
34
4
0
13 Dec 2022
High Dimensional Binary Classification under Label Shift: Phase
  Transition and Regularization
High Dimensional Binary Classification under Label Shift: Phase Transition and Regularization
Jiahui Cheng
Minshuo Chen
Hao Liu
Tuo Zhao
Wenjing Liao
36
0
0
01 Dec 2022
Understanding the double descent curve in Machine Learning
Understanding the double descent curve in Machine Learning
Luis Sa-Couto
J. M. Ramos
Miguel Almeida
Andreas Wichert
29
1
0
18 Nov 2022
Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis
Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis
Luca Galimberti
Anastasis Kratsios
Giulia Livieri
OOD
28
14
0
24 Oct 2022
On the Impossible Safety of Large AI Models
On the Impossible Safety of Large AI Models
El-Mahdi El-Mhamdi
Sadegh Farhadkhani
R. Guerraoui
Nirupam Gupta
L. Hoang
Rafael Pinot
Sébastien Rouault
John Stephan
30
31
0
30 Sep 2022
Neural Networks Efficiently Learn Low-Dimensional Representations with
  SGD
Neural Networks Efficiently Learn Low-Dimensional Representations with SGD
Alireza Mousavi-Hosseini
Sejun Park
M. Girotti
Ioannis Mitliagkas
Murat A. Erdogdu
MLT
324
48
0
29 Sep 2022
Deep Linear Networks can Benignly Overfit when Shallow Ones Do
Deep Linear Networks can Benignly Overfit when Shallow Ones Do
Niladri S. Chatterji
Philip M. Long
23
8
0
19 Sep 2022
Importance Tempering: Group Robustness for Overparameterized Models
Importance Tempering: Group Robustness for Overparameterized Models
Yiping Lu
Wenlong Ji
Zachary Izzo
Lexing Ying
42
7
0
19 Sep 2022
Generalisation under gradient descent via deterministic PAC-Bayes
Generalisation under gradient descent via deterministic PAC-Bayes
Eugenio Clerico
Tyler Farghly
George Deligiannidis
Benjamin Guedj
Arnaud Doucet
31
4
0
06 Sep 2022
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