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Deep learning: a statistical viewpoint

Deep learning: a statistical viewpoint

16 March 2021
Peter L. Bartlett
Andrea Montanari
Alexander Rakhlin
ArXiv (abs)PDFHTML

Papers citing "Deep learning: a statistical viewpoint"

50 / 93 papers shown
Title
Dense Associative Memory with Epanechnikov Energy
Dense Associative Memory with Epanechnikov Energy
Benjamin Hoover
Zhaoyang Shi
Krishnakumar Balasubramanian
Dmitry Krotov
Parikshit Ram
106
0
0
12 Jun 2025
Models of Heavy-Tailed Mechanistic Universality
Models of Heavy-Tailed Mechanistic Universality
Liam Hodgkinson
Zhichao Wang
Michael W. Mahoney
68
1
0
04 Jun 2025
Implicit Regularization of the Deep Inverse Prior Trained with Inertia
Implicit Regularization of the Deep Inverse Prior Trained with Inertia
Nathan Buskulic
Jalal Fadil
Yvain Quéau
38
1
0
03 Jun 2025
Statistical mechanics of extensive-width Bayesian neural networks near interpolation
Statistical mechanics of extensive-width Bayesian neural networks near interpolation
Jean Barbier
Francesco Camilli
Minh-Toan Nguyen
Mauro Pastore
Rudy Skerk
39
0
0
30 May 2025
Conformal Object Detection by Sequential Risk Control
Conformal Object Detection by Sequential Risk Control
Léo Andéol
Luca Mossina
Adrien Mazoyer
Sébastien Gerchinovitz
53
0
0
29 May 2025
Fractal and Regular Geometry of Deep Neural Networks
Fractal and Regular Geometry of Deep Neural Networks
Simmaco Di Lillo
Domenico Marinucci
Michele Salvi
Stefano Vigogna
MDEAI4CE
62
1
0
08 Apr 2025
Feature maps for the Laplacian kernel and its generalizations
Feature maps for the Laplacian kernel and its generalizations
Sudhendu Ahir
Parthe Pandit
99
0
0
24 Feb 2025
Spurious Correlations in High Dimensional Regression: The Roles of Regularization, Simplicity Bias and Over-Parameterization
Spurious Correlations in High Dimensional Regression: The Roles of Regularization, Simplicity Bias and Over-Parameterization
Simone Bombari
Marco Mondelli
301
0
0
03 Feb 2025
Functional Risk Minimization
Functional Risk Minimization
Ferran Alet
Clement Gehring
Tomás Lozano-Pérez
Kenji Kawaguchi
Joshua B. Tenenbaum
Leslie Pack Kaelbling
OffRL
122
0
0
31 Dec 2024
Local Loss Optimization in the Infinite Width: Stable Parameterization of Predictive Coding Networks and Target Propagation
Local Loss Optimization in the Infinite Width: Stable Parameterization of Predictive Coding Networks and Target Propagation
Satoki Ishikawa
Rio Yokota
Ryo Karakida
126
0
0
04 Nov 2024
On Memorization of Large Language Models in Logical Reasoning
On Memorization of Large Language Models in Logical Reasoning
Chulin Xie
Yangsibo Huang
Chiyuan Zhang
Da Yu
Xinyun Chen
Bill Yuchen Lin
Bo Li
Badih Ghazi
Ravi Kumar
LRM
148
41
0
30 Oct 2024
Low-Dimension-to-High-Dimension Generalization And Its Implications for Length Generalization
Low-Dimension-to-High-Dimension Generalization And Its Implications for Length Generalization
Yang Chen
Long Yang
Yitao Liang
Zhouchen Lin
112
1
0
11 Oct 2024
Understanding Model Ensemble in Transferable Adversarial Attack
Understanding Model Ensemble in Transferable Adversarial Attack
Wei Yao
Zeliang Zhang
Huayi Tang
Yong Liu
116
3
0
09 Oct 2024
Simplicity bias and optimization threshold in two-layer ReLU networks
Simplicity bias and optimization threshold in two-layer ReLU networks
Etienne Boursier
Nicolas Flammarion
93
4
0
03 Oct 2024
On the Pinsker bound of inner product kernel regression in large dimensions
On the Pinsker bound of inner product kernel regression in large dimensions
Weihao Lu
Jialin Ding
Haobo Zhang
Qian Lin
93
1
0
02 Sep 2024
Analysis of the rate of convergence of an over-parametrized
  convolutional neural network image classifier learned by gradient descent
Analysis of the rate of convergence of an over-parametrized convolutional neural network image classifier learned by gradient descent
Michael Kohler
A. Krzyżak
Benjamin Walter
79
1
0
13 May 2024
Neural Network-Based Score Estimation in Diffusion Models: Optimization
  and Generalization
Neural Network-Based Score Estimation in Diffusion Models: Optimization and Generalization
Yinbin Han
Meisam Razaviyayn
Renyuan Xu
DiffM
138
16
0
28 Jan 2024
Statistical learning by sparse deep neural networks
Statistical learning by sparse deep neural networks
Felix Abramovich
BDL
77
1
0
15 Nov 2023
Efficient kernel surrogates for neural network-based regression
Efficient kernel surrogates for neural network-based regression
S. Qadeer
A. Engel
Amanda A. Howard
Adam Tsou
Max Vargas
P. Stinis
Tony Chiang
107
5
0
28 Oct 2023
Fundamental Limits of Deep Learning-Based Binary Classifiers Trained with Hinge Loss
Fundamental Limits of Deep Learning-Based Binary Classifiers Trained with Hinge Loss
T. Getu
Georges Kaddoum
M. Bennis
89
1
0
13 Sep 2023
Six Lectures on Linearized Neural Networks
Six Lectures on Linearized Neural Networks
Theodor Misiakiewicz
Andrea Montanari
134
13
0
25 Aug 2023
Consciousness in Artificial Intelligence: Insights from the Science of
  Consciousness
Consciousness in Artificial Intelligence: Insights from the Science of Consciousness
Patrick Butlin
R. Long
Eric Elmoznino
Yoshua Bengio
Jonathan C. P. Birch
...
L. Mudrik
Megan A. K. Peters
Eric Schwitzgebel
Jonathan Simon
Rufin VanRullen
LLMAG
85
107
0
17 Aug 2023
Quantitative CLTs in Deep Neural Networks
Quantitative CLTs in Deep Neural Networks
Stefano Favaro
Boris Hanin
Domenico Marinucci
I. Nourdin
G. Peccati
BDL
112
16
0
12 Jul 2023
Large Language Models
Large Language Models
Michael R Douglas
LLMAGLM&MA
172
645
0
11 Jul 2023
The Shaped Transformer: Attention Models in the Infinite Depth-and-Width
  Limit
The Shaped Transformer: Attention Models in the Infinite Depth-and-Width Limit
Lorenzo Noci
Chuning Li
Mufan Li
Bobby He
Thomas Hofmann
Chris J. Maddison
Daniel M. Roy
125
36
0
30 Jun 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
105
3
0
23 Jun 2023
Generalized equivalences between subsampling and ridge regularization
Generalized equivalences between subsampling and ridge regularization
Pratik V. Patil
Jin-Hong Du
91
5
0
29 May 2023
From Tempered to Benign Overfitting in ReLU Neural Networks
From Tempered to Benign Overfitting in ReLU Neural Networks
Guy Kornowski
Gilad Yehudai
Ohad Shamir
91
13
0
24 May 2023
Mind the spikes: Benign overfitting of kernels and neural networks in
  fixed dimension
Mind the spikes: Benign overfitting of kernels and neural networks in fixed dimension
Moritz Haas
David Holzmüller
U. V. Luxburg
Ingo Steinwart
MLT
100
14
0
23 May 2023
The Training Process of Many Deep Networks Explores the Same
  Low-Dimensional Manifold
The Training Process of Many Deep Networks Explores the Same Low-Dimensional Manifold
Jialin Mao
Itay Griniasty
H. Teoh
Rahul Ramesh
Rubing Yang
Mark K. Transtrum
James P. Sethna
Pratik Chaudhari
3DPC
85
16
0
02 May 2023
Pretrained Embeddings for E-commerce Machine Learning: When it Fails and
  Why?
Pretrained Embeddings for E-commerce Machine Learning: When it Fails and Why?
Da Xu
Bo Yang
69
3
0
09 Apr 2023
Inductive biases in deep learning models for weather prediction
Inductive biases in deep learning models for weather prediction
Jannik Thümmel
Matthias Karlbauer
S. Otte
C. Zarfl
Georg Martius
...
Thomas Scholten
Ulrich Friedrich
V. Wulfmeyer
B. Goswami
Martin Volker Butz
AI4CE
107
6
0
06 Apr 2023
Convergence Guarantees of Overparametrized Wide Deep Inverse Prior
Convergence Guarantees of Overparametrized Wide Deep Inverse Prior
Nathan Buskulic
Yvain Quéau
M. Fadili
BDL
71
2
0
20 Mar 2023
Learning time-scales in two-layers neural networks
Learning time-scales in two-layers neural networks
Raphael Berthier
Andrea Montanari
Kangjie Zhou
196
38
0
28 Feb 2023
Over-parameterised Shallow Neural Networks with Asymmetrical Node Scaling: Global Convergence Guarantees and Feature Learning
Over-parameterised Shallow Neural Networks with Asymmetrical Node Scaling: Global Convergence Guarantees and Feature Learning
François Caron
Fadhel Ayed
Paul Jung
Hoileong Lee
Juho Lee
Hongseok Yang
129
2
0
02 Feb 2023
From Risk Prediction to Risk Factors Interpretation. Comparison of
  Neural Networks and Classical Statistics for Dementia Prediction
From Risk Prediction to Risk Factors Interpretation. Comparison of Neural Networks and Classical Statistics for Dementia Prediction
C. Huber
33
0
0
17 Jan 2023
Learning Lipschitz Functions by GD-trained Shallow Overparameterized
  ReLU Neural Networks
Learning Lipschitz Functions by GD-trained Shallow Overparameterized ReLU Neural Networks
Ilja Kuzborskij
Csaba Szepesvári
73
4
0
28 Dec 2022
A note on the prediction error of principal component regression in high
  dimensions
A note on the prediction error of principal component regression in high dimensions
L. Hucker
Martin Wahl
78
6
0
09 Dec 2022
Design and Planning of Flexible Mobile Micro-Grids Using Deep
  Reinforcement Learning
Design and Planning of Flexible Mobile Micro-Grids Using Deep Reinforcement Learning
Cesare Caputo
Michel-Alexandre Cardin
Pudong Ge
Fei Teng
A. Korre
Ehecatl Antonio del Rio Chanona
39
18
0
08 Dec 2022
Why Neural Networks Work
Why Neural Networks Work
Sayan Mukherjee
Bernardo A. Huberman
39
2
0
26 Nov 2022
Spectral Evolution and Invariance in Linear-width Neural Networks
Spectral Evolution and Invariance in Linear-width Neural Networks
Zhichao Wang
A. Engel
Anand D. Sarwate
Ioana Dumitriu
Tony Chiang
116
18
0
11 Nov 2022
Deep Neural Networks as the Semi-classical Limit of Topological Quantum
  Neural Networks: The problem of generalisation
Deep Neural Networks as the Semi-classical Limit of Topological Quantum Neural Networks: The problem of generalisation
A. Marcianò
De-Wei Chen
Filippo Fabrocini
C. Fields
M. Lulli
Emanuele Zappala
GNN
37
5
0
25 Oct 2022
Theoretical Guarantees for Permutation-Equivariant Quantum Neural
  Networks
Theoretical Guarantees for Permutation-Equivariant Quantum Neural Networks
Louis Schatzki
Martín Larocca
Quynh T. Nguyen
F. Sauvage
M. Cerezo
109
92
0
18 Oct 2022
Advancing Model Pruning via Bi-level Optimization
Advancing Model Pruning via Bi-level Optimization
Yihua Zhang
Yuguang Yao
Parikshit Ram
Pu Zhao
Tianlong Chen
Min-Fong Hong
Yanzhi Wang
Sijia Liu
150
68
0
08 Oct 2022
The Dynamics of Sharpness-Aware Minimization: Bouncing Across Ravines
  and Drifting Towards Wide Minima
The Dynamics of Sharpness-Aware Minimization: Bouncing Across Ravines and Drifting Towards Wide Minima
Peter L. Bartlett
Philip M. Long
Olivier Bousquet
162
37
0
04 Oct 2022
The Dynamic of Consensus in Deep Networks and the Identification of
  Noisy Labels
The Dynamic of Consensus in Deep Networks and the Identification of Noisy Labels
Daniel Shwartz
Uri Stern
D. Weinshall
NoLa
98
2
0
02 Oct 2022
Restricted Strong Convexity of Deep Learning Models with Smooth
  Activations
Restricted Strong Convexity of Deep Learning Models with Smooth Activations
A. Banerjee
Pedro Cisneros-Velarde
Libin Zhu
M. Belkin
73
8
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
96
8
0
19 Sep 2022
Stability and Generalization Analysis of Gradient Methods for Shallow
  Neural Networks
Stability and Generalization Analysis of Gradient Methods for Shallow Neural Networks
Yunwen Lei
Rong Jin
Yiming Ying
MLT
100
19
0
19 Sep 2022
Incremental Learning in Diagonal Linear Networks
Incremental Learning in Diagonal Linear Networks
Raphael Berthier
CLLAI4CE
93
17
0
31 Aug 2022
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