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Fine-Grained Analysis of Optimization and Generalization for
  Overparameterized Two-Layer Neural Networks

Fine-Grained Analysis of Optimization and Generalization for Overparameterized Two-Layer Neural Networks

24 January 2019
Sanjeev Arora
S. Du
Wei Hu
Zhiyuan Li
Ruosong Wang
    MLT
ArXivPDFHTML

Papers citing "Fine-Grained Analysis of Optimization and Generalization for Overparameterized Two-Layer Neural Networks"

50 / 239 papers shown
Title
Learning from Training Dynamics: Identifying Mislabeled Data Beyond
  Manually Designed Features
Learning from Training Dynamics: Identifying Mislabeled Data Beyond Manually Designed Features
Qingrui Jia
Xuhong Li
Lei Yu
Jiang Bian
Penghao Zhao
Shupeng Li
Haoyi Xiong
Dejing Dou
NoLa
35
5
0
19 Dec 2022
Graph Neural Networks are Inherently Good Generalizers: Insights by
  Bridging GNNs and MLPs
Graph Neural Networks are Inherently Good Generalizers: Insights by Bridging GNNs and MLPs
Chenxiao Yang
Qitian Wu
Jiahua Wang
Junchi Yan
AI4CE
19
51
0
18 Dec 2022
Learning threshold neurons via the "edge of stability"
Learning threshold neurons via the "edge of stability"
Kwangjun Ahn
Sébastien Bubeck
Sinho Chewi
Y. Lee
Felipe Suarez
Yi Zhang
MLT
38
36
0
14 Dec 2022
Leveraging Unlabeled Data to Track Memorization
Leveraging Unlabeled Data to Track Memorization
Mahsa Forouzesh
Hanie Sedghi
Patrick Thiran
NoLa
TDI
34
4
0
08 Dec 2022
Bypass Exponential Time Preprocessing: Fast Neural Network Training via
  Weight-Data Correlation Preprocessing
Bypass Exponential Time Preprocessing: Fast Neural Network Training via Weight-Data Correlation Preprocessing
Josh Alman
Jiehao Liang
Zhao Song
Ruizhe Zhang
Danyang Zhuo
77
31
0
25 Nov 2022
Two Facets of SDE Under an Information-Theoretic Lens: Generalization of
  SGD via Training Trajectories and via Terminal States
Two Facets of SDE Under an Information-Theoretic Lens: Generalization of SGD via Training Trajectories and via Terminal States
Ziqiao Wang
Yongyi Mao
30
10
0
19 Nov 2022
Mechanistic Mode Connectivity
Mechanistic Mode Connectivity
Ekdeep Singh Lubana
Eric J. Bigelow
Robert P. Dick
David M. Krueger
Hidenori Tanaka
32
45
0
15 Nov 2022
Characterizing the Spectrum of the NTK via a Power Series Expansion
Characterizing the Spectrum of the NTK via a Power Series Expansion
Michael Murray
Hui Jin
Benjamin Bowman
Guido Montúfar
38
11
0
15 Nov 2022
Do highly over-parameterized neural networks generalize since bad
  solutions are rare?
Do highly over-parameterized neural networks generalize since bad solutions are rare?
Julius Martinetz
T. Martinetz
30
1
0
07 Nov 2022
A Functional-Space Mean-Field Theory of Partially-Trained Three-Layer
  Neural Networks
A Functional-Space Mean-Field Theory of Partially-Trained Three-Layer Neural Networks
Zhengdao Chen
Eric Vanden-Eijnden
Joan Bruna
MLT
27
5
0
28 Oct 2022
The Curious Case of Benign Memorization
The Curious Case of Benign Memorization
Sotiris Anagnostidis
Gregor Bachmann
Lorenzo Noci
Thomas Hofmann
AAML
49
8
0
25 Oct 2022
Global Convergence of SGD On Two Layer Neural Nets
Global Convergence of SGD On Two Layer Neural Nets
Pulkit Gopalani
Anirbit Mukherjee
26
5
0
20 Oct 2022
Data-Efficient Augmentation for Training Neural Networks
Data-Efficient Augmentation for Training Neural Networks
Tian Yu Liu
Baharan Mirzasoleiman
18
7
0
15 Oct 2022
What Can the Neural Tangent Kernel Tell Us About Adversarial Robustness?
What Can the Neural Tangent Kernel Tell Us About Adversarial Robustness?
Nikolaos Tsilivis
Julia Kempe
AAML
47
17
0
11 Oct 2022
Efficient NTK using Dimensionality Reduction
Efficient NTK using Dimensionality Reduction
Nir Ailon
Supratim Shit
38
0
0
10 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
36
2
0
02 Oct 2022
Behind the Scenes of Gradient Descent: A Trajectory Analysis via Basis
  Function Decomposition
Behind the Scenes of Gradient Descent: A Trajectory Analysis via Basis Function Decomposition
Jianhao Ma
Li-Zhen Guo
S. Fattahi
38
4
0
01 Oct 2022
On the optimization and generalization of overparameterized implicit
  neural networks
On the optimization and generalization of overparameterized implicit neural networks
Tianxiang Gao
Hongyang Gao
MLT
AI4CE
19
3
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
Magnitude and Angle Dynamics in Training Single ReLU Neurons
Magnitude and Angle Dynamics in Training Single ReLU Neurons
Sangmin Lee
Byeongsu Sim
Jong Chul Ye
MLT
96
6
0
27 Sep 2022
Approximation results for Gradient Descent trained Shallow Neural
  Networks in $1d$
Approximation results for Gradient Descent trained Shallow Neural Networks in 1d1d1d
R. Gentile
G. Welper
ODL
54
6
0
17 Sep 2022
Generalization Properties of NAS under Activation and Skip Connection
  Search
Generalization Properties of NAS under Activation and Skip Connection Search
Zhenyu Zhu
Fanghui Liu
Grigorios G. Chrysos
V. Cevher
AI4CE
28
15
0
15 Sep 2022
On Generalization of Decentralized Learning with Separable Data
On Generalization of Decentralized Learning with Separable Data
Hossein Taheri
Christos Thrampoulidis
FedML
36
11
0
15 Sep 2022
On the generalization of learning algorithms that do not converge
On the generalization of learning algorithms that do not converge
N. Chandramoorthy
Andreas Loukas
Khashayar Gatmiry
Stefanie Jegelka
MLT
19
11
0
16 Aug 2022
Towards Understanding Mixture of Experts in Deep Learning
Towards Understanding Mixture of Experts in Deep Learning
Zixiang Chen
Yihe Deng
Yue-bo Wu
Quanquan Gu
Yuan-Fang Li
MLT
MoE
39
53
0
04 Aug 2022
Analyzing Sharpness along GD Trajectory: Progressive Sharpening and Edge
  of Stability
Analyzing Sharpness along GD Trajectory: Progressive Sharpening and Edge of Stability
Z. Li
Zixuan Wang
Jian Li
19
44
0
26 Jul 2022
Can we achieve robustness from data alone?
Can we achieve robustness from data alone?
Nikolaos Tsilivis
Jingtong Su
Julia Kempe
OOD
DD
36
18
0
24 Jul 2022
Single Model Uncertainty Estimation via Stochastic Data Centering
Single Model Uncertainty Estimation via Stochastic Data Centering
Jayaraman J. Thiagarajan
Rushil Anirudh
V. Narayanaswamy
P. Bremer
UQCV
OOD
30
26
0
14 Jul 2022
Implicit Bias of Gradient Descent on Reparametrized Models: On
  Equivalence to Mirror Descent
Implicit Bias of Gradient Descent on Reparametrized Models: On Equivalence to Mirror Descent
Zhiyuan Li
Tianhao Wang
Jason D. Lee
Sanjeev Arora
42
27
0
08 Jul 2022
Informed Learning by Wide Neural Networks: Convergence, Generalization
  and Sampling Complexity
Informed Learning by Wide Neural Networks: Convergence, Generalization and Sampling Complexity
Jianyi Yang
Shaolei Ren
32
3
0
02 Jul 2022
Neural Networks can Learn Representations with Gradient Descent
Neural Networks can Learn Representations with Gradient Descent
Alexandru Damian
Jason D. Lee
Mahdi Soltanolkotabi
SSL
MLT
25
114
0
30 Jun 2022
Momentum Diminishes the Effect of Spectral Bias in Physics-Informed
  Neural Networks
Momentum Diminishes the Effect of Spectral Bias in Physics-Informed Neural Networks
G. Farhani
Alexander Kazachek
Boyu Wang
27
6
0
29 Jun 2022
Bounding the Width of Neural Networks via Coupled Initialization -- A
  Worst Case Analysis
Bounding the Width of Neural Networks via Coupled Initialization -- A Worst Case Analysis
Alexander Munteanu
Simon Omlor
Zhao Song
David P. Woodruff
33
15
0
26 Jun 2022
Fast Finite Width Neural Tangent Kernel
Fast Finite Width Neural Tangent Kernel
Roman Novak
Jascha Narain Sohl-Dickstein
S. Schoenholz
AAML
25
53
0
17 Jun 2022
On the fast convergence of minibatch heavy ball momentum
On the fast convergence of minibatch heavy ball momentum
Raghu Bollapragada
Tyler Chen
Rachel A. Ward
29
17
0
15 Jun 2022
Understanding the Generalization Benefit of Normalization Layers:
  Sharpness Reduction
Understanding the Generalization Benefit of Normalization Layers: Sharpness Reduction
Kaifeng Lyu
Zhiyuan Li
Sanjeev Arora
FAtt
45
70
0
14 Jun 2022
Why Quantization Improves Generalization: NTK of Binary Weight Neural
  Networks
Why Quantization Improves Generalization: NTK of Binary Weight Neural Networks
Kaiqi Zhang
Ming Yin
Yu-Xiang Wang
MQ
24
4
0
13 Jun 2022
On the Convergence to a Global Solution of Shuffling-Type Gradient
  Algorithms
On the Convergence to a Global Solution of Shuffling-Type Gradient Algorithms
Lam M. Nguyen
Trang H. Tran
32
2
0
13 Jun 2022
Neural Collapse: A Review on Modelling Principles and Generalization
Neural Collapse: A Review on Modelling Principles and Generalization
Vignesh Kothapalli
25
74
0
08 Jun 2022
Identifying good directions to escape the NTK regime and efficiently
  learn low-degree plus sparse polynomials
Identifying good directions to escape the NTK regime and efficiently learn low-degree plus sparse polynomials
Eshaan Nichani
Yunzhi Bai
Jason D. Lee
29
10
0
08 Jun 2022
Gradient flow dynamics of shallow ReLU networks for square loss and
  orthogonal inputs
Gradient flow dynamics of shallow ReLU networks for square loss and orthogonal inputs
Etienne Boursier
Loucas Pillaud-Vivien
Nicolas Flammarion
ODL
27
58
0
02 Jun 2022
Gaussian Pre-Activations in Neural Networks: Myth or Reality?
Gaussian Pre-Activations in Neural Networks: Myth or Reality?
Pierre Wolinski
Julyan Arbel
AI4CE
76
8
0
24 May 2022
Trading Positional Complexity vs. Deepness in Coordinate Networks
Trading Positional Complexity vs. Deepness in Coordinate Networks
Jianqiao Zheng
Sameera Ramasinghe
Xueqian Li
Simon Lucey
31
18
0
18 May 2022
The Mechanism of Prediction Head in Non-contrastive Self-supervised
  Learning
The Mechanism of Prediction Head in Non-contrastive Self-supervised Learning
Zixin Wen
Yuanzhi Li
SSL
27
34
0
12 May 2022
On Feature Learning in Neural Networks with Global Convergence
  Guarantees
On Feature Learning in Neural Networks with Global Convergence Guarantees
Zhengdao Chen
Eric Vanden-Eijnden
Joan Bruna
MLT
36
13
0
22 Apr 2022
Theory of Graph Neural Networks: Representation and Learning
Theory of Graph Neural Networks: Representation and Learning
Stefanie Jegelka
GNN
AI4CE
33
68
0
16 Apr 2022
Graph Neural Networks for Wireless Communications: From Theory to
  Practice
Graph Neural Networks for Wireless Communications: From Theory to Practice
Yifei Shen
Jun Zhang
Shenghui Song
Khaled B. Letaief
GNN
AI4CE
33
111
0
21 Mar 2022
Generalization Through The Lens Of Leave-One-Out Error
Generalization Through The Lens Of Leave-One-Out Error
Gregor Bachmann
Thomas Hofmann
Aurelien Lucchi
64
7
0
07 Mar 2022
The Spectral Bias of Polynomial Neural Networks
The Spectral Bias of Polynomial Neural Networks
Moulik Choraria
L. Dadi
Grigorios G. Chrysos
Julien Mairal
V. Cevher
24
18
0
27 Feb 2022
Benefit of Interpolation in Nearest Neighbor Algorithms
Benefit of Interpolation in Nearest Neighbor Algorithms
Yue Xing
Qifan Song
Guang Cheng
14
28
0
23 Feb 2022
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