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On Random Matrices Arising in Deep Neural Networks. Gaussian Case
v1v2 (latest)

On Random Matrices Arising in Deep Neural Networks. Gaussian Case

17 January 2020
L. Pastur
ArXiv (abs)PDFHTML

Papers citing "On Random Matrices Arising in Deep Neural Networks. Gaussian Case"

15 / 15 papers shown
Towards Quantifying the Hessian Structure of Neural Networks
Towards Quantifying the Hessian Structure of Neural Networks
Zhaorui Dong
Yushun Zhang
Jianfeng Yao
Jianfeng Yao
372
5
0
05 May 2025
"Lossless" Compression of Deep Neural Networks: A High-dimensional
  Neural Tangent Kernel Approach
"Lossless" Compression of Deep Neural Networks: A High-dimensional Neural Tangent Kernel Approach
Lingyu Gu
Yongqiang Du
Yuan Zhang
Di Xie
Shiliang Pu
Robert C. Qiu
Zhenyu Liao
266
9
0
01 Mar 2024
Deep networks for system identification: a Survey
Deep networks for system identification: a Survey
G. Pillonetto
Aleksandr Aravkin
Daniel Gedon
L. Ljung
Antônio H. Ribeiro
Thomas B. Schon
OOD
372
104
0
30 Jan 2023
Universal characteristics of deep neural network loss surfaces from
  random matrix theory
Universal characteristics of deep neural network loss surfaces from random matrix theory
Nicholas P. Baskerville
J. Keating
F. Mezzadri
J. Najnudel
Diego Granziol
247
7
0
17 May 2022
Concentration of Random Feature Matrices in High-Dimensions
Concentration of Random Feature Matrices in High-DimensionsMathematical and Scientific Machine Learning (MSML), 2022
Zhijun Chen
Hayden Schaeffer
Rachel A. Ward
457
8
0
14 Apr 2022
Overparameterized Linear Regression under Adversarial Attacks
Overparameterized Linear Regression under Adversarial AttacksIEEE Transactions on Signal Processing (IEEE Trans. Signal Process.), 2022
Antônio H. Ribeiro
Thomas B. Schon
AAML
231
25
0
13 Apr 2022
Eigenvalue Distribution of Large Random Matrices Arising in Deep Neural
  Networks: Orthogonal Case
Eigenvalue Distribution of Large Random Matrices Arising in Deep Neural Networks: Orthogonal CaseJournal of Mathematics and Physics (JMP), 2022
L. Pastur
241
7
0
12 Jan 2022
Free Probability for predicting the performance of feed-forward fully
  connected neural networks
Free Probability for predicting the performance of feed-forward fully connected neural networksNeural Information Processing Systems (NeurIPS), 2021
Reda Chhaibi
Tariq Daouda
E. Kahn
ODL
359
4
0
01 Nov 2021
Conditioning of Random Feature Matrices: Double Descent and
  Generalization Error
Conditioning of Random Feature Matrices: Double Descent and Generalization Error
Zhijun Chen
Hayden Schaeffer
350
13
0
21 Oct 2021
Random matrices in service of ML footprint: ternary random features with
  no performance loss
Random matrices in service of ML footprint: ternary random features with no performance loss
Hafiz Tiomoko Ali
Zhenyu Liao
Romain Couillet
330
7
0
05 Oct 2021
Asymptotic Freeness of Layerwise Jacobians Caused by Invariance of
  Multilayer Perceptron: The Haar Orthogonal Case
Asymptotic Freeness of Layerwise Jacobians Caused by Invariance of Multilayer Perceptron: The Haar Orthogonal CaseCommunications in Mathematical Physics (Commun. Math. Phys.), 2021
B. Collins
Tomohiro Hayase
371
8
0
24 Mar 2021
On Random Matrices Arising in Deep Neural Networks: General I.I.D. Case
On Random Matrices Arising in Deep Neural Networks: General I.I.D. CaseRandom Matrices. Theory and Applications (RMTA), 2020
L. Pastur
V. Slavin
CML
266
13
0
20 Nov 2020
Tensor Programs III: Neural Matrix Laws
Tensor Programs III: Neural Matrix Laws
Greg Yang
425
55
0
22 Sep 2020
The Spectrum of Fisher Information of Deep Networks Achieving Dynamical
  Isometry
The Spectrum of Fisher Information of Deep Networks Achieving Dynamical IsometryInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2020
Tomohiro Hayase
Ryo Karakida
376
9
0
14 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
262
94
0
09 Jun 2020
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