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An Equivalence Principle for the Spectrum of Random Inner-Product Kernel
  Matrices with Polynomial Scalings

An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings

12 May 2022
Yue M. Lu
H. Yau
ArXivPDFHTML

Papers citing "An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings"

17 / 17 papers shown
Title
A spectral clustering-type algorithm for the consistent estimation of the Hurst distribution in moderately high dimensions
A spectral clustering-type algorithm for the consistent estimation of the Hurst distribution in moderately high dimensions
P. Abry
G. Didier
Oliver Orejola
H. Wendt
116
0
0
30 Jan 2025
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
55
3
0
23 Jun 2023
Spectrum of inner-product kernel matrices in the polynomial regime and
  multiple descent phenomenon in kernel ridge regression
Spectrum of inner-product kernel matrices in the polynomial regime and multiple descent phenomenon in kernel ridge regression
Theodor Misiakiewicz
43
40
0
21 Apr 2022
Learning curves of generic features maps for realistic datasets with a
  teacher-student model
Learning curves of generic features maps for realistic datasets with a teacher-student model
Bruno Loureiro
Cédric Gerbelot
Hugo Cui
Sebastian Goldt
Florent Krzakala
M. Mézard
Lenka Zdeborová
95
138
0
16 Feb 2021
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
75
103
0
25 Jun 2020
Generalisation error in learning with random features and the hidden
  manifold model
Generalisation error in learning with random features and the hidden manifold model
Federica Gerace
Bruno Loureiro
Florent Krzakala
M. Mézard
Lenka Zdeborová
64
169
0
21 Feb 2020
Spectrum Dependent Learning Curves in Kernel Regression and Wide Neural
  Networks
Spectrum Dependent Learning Curves in Kernel Regression and Wide Neural Networks
Blake Bordelon
Abdulkadir Canatar
Cengiz Pehlevan
214
206
0
07 Feb 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
83
635
0
14 Aug 2019
Linearized two-layers neural networks in high dimension
Linearized two-layers neural networks in high dimension
Behrooz Ghorbani
Song Mei
Theodor Misiakiewicz
Andrea Montanari
MLT
45
243
0
27 Apr 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
184
743
0
19 Mar 2019
A Random Matrix Approach to Neural Networks
A Random Matrix Approach to Neural Networks
Cosme Louart
Zhenyu Liao
Romain Couillet
65
161
0
17 Feb 2017
The Spectral Norm of Random Inner-Product Kernel Matrices
The Spectral Norm of Random Inner-Product Kernel Matrices
Z. Fan
Andrea Montanari
108
47
0
19 Jul 2015
An Introduction to Matrix Concentration Inequalities
An Introduction to Matrix Concentration Inequalities
J. Tropp
159
1,149
0
07 Jan 2015
On the principal components of sample covariance matrices
On the principal components of sample covariance matrices
Alex Bloemendal
Antti Knowles
H. Yau
J. Yin
116
152
0
03 Apr 2014
Sparse PCA via Covariance Thresholding
Sparse PCA via Covariance Thresholding
Y. Deshpande
Andrea Montanari
112
106
0
20 Nov 2013
The spectrum of kernel random matrices
The spectrum of kernel random matrices
N. Karoui
154
224
0
04 Jan 2010
Covariance regularization by thresholding
Covariance regularization by thresholding
Peter J. Bickel
Elizaveta Levina
202
1,272
0
20 Jan 2009
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