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Gradient Descent Provably Optimizes Over-parameterized Neural Networks

Gradient Descent Provably Optimizes Over-parameterized Neural Networks

4 October 2018
S. Du
Xiyu Zhai
Barnabás Póczós
Aarti Singh
    MLT
    ODL
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Papers citing "Gradient Descent Provably Optimizes Over-parameterized Neural Networks"

44 / 244 papers shown
Title
Neural Tangents: Fast and Easy Infinite Neural Networks in Python
Neural Tangents: Fast and Easy Infinite Neural Networks in Python
Roman Novak
Lechao Xiao
Jiri Hron
Jaehoon Lee
Alexander A. Alemi
Jascha Narain Sohl-Dickstein
S. Schoenholz
27
224
0
05 Dec 2019
Towards Understanding the Spectral Bias of Deep Learning
Towards Understanding the Spectral Bias of Deep Learning
Yuan Cao
Zhiying Fang
Yue Wu
Ding-Xuan Zhou
Quanquan Gu
21
214
0
03 Dec 2019
Neural Contextual Bandits with UCB-based Exploration
Neural Contextual Bandits with UCB-based Exploration
Dongruo Zhou
Lihong Li
Quanquan Gu
17
15
0
11 Nov 2019
Enhanced Convolutional Neural Tangent Kernels
Enhanced Convolutional Neural Tangent Kernels
Zhiyuan Li
Ruosong Wang
Dingli Yu
S. Du
Wei Hu
Ruslan Salakhutdinov
Sanjeev Arora
16
131
0
03 Nov 2019
Global Convergence of Gradient Descent for Deep Linear Residual Networks
Global Convergence of Gradient Descent for Deep Linear Residual Networks
Lei Wu
Qingcan Wang
Chao Ma
ODL
AI4CE
20
22
0
02 Nov 2019
Denoising and Regularization via Exploiting the Structural Bias of
  Convolutional Generators
Denoising and Regularization via Exploiting the Structural Bias of Convolutional Generators
Reinhard Heckel
Mahdi Soltanolkotabi
DiffM
27
81
0
31 Oct 2019
Capacity, Bandwidth, and Compositionality in Emergent Language Learning
Capacity, Bandwidth, and Compositionality in Emergent Language Learning
Cinjon Resnick
Abhinav Gupta
Jakob N. Foerster
Andrew M. Dai
Kyunghyun Cho
18
51
0
24 Oct 2019
Harnessing the Power of Infinitely Wide Deep Nets on Small-data Tasks
Harnessing the Power of Infinitely Wide Deep Nets on Small-data Tasks
Sanjeev Arora
S. Du
Zhiyuan Li
Ruslan Salakhutdinov
Ruosong Wang
Dingli Yu
AAML
9
161
0
03 Oct 2019
Beyond Linearization: On Quadratic and Higher-Order Approximation of
  Wide Neural Networks
Beyond Linearization: On Quadratic and Higher-Order Approximation of Wide Neural Networks
Yu Bai
J. Lee
11
116
0
03 Oct 2019
Overparameterized Neural Networks Implement Associative Memory
Overparameterized Neural Networks Implement Associative Memory
Adityanarayanan Radhakrishnan
M. Belkin
Caroline Uhler
BDL
19
71
0
26 Sep 2019
Towards Understanding the Transferability of Deep Representations
Towards Understanding the Transferability of Deep Representations
Hong Liu
Mingsheng Long
Jianmin Wang
Michael I. Jordan
16
25
0
26 Sep 2019
Asymptotics of Wide Networks from Feynman Diagrams
Asymptotics of Wide Networks from Feynman Diagrams
Ethan Dyer
Guy Gur-Ari
19
113
0
25 Sep 2019
Sample Efficient Policy Gradient Methods with Recursive Variance
  Reduction
Sample Efficient Policy Gradient Methods with Recursive Variance Reduction
Pan Xu
F. Gao
Quanquan Gu
23
83
0
18 Sep 2019
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
39
624
0
14 Aug 2019
Kernel and Rich Regimes in Overparametrized Models
Blake E. Woodworth
Suriya Gunasekar
Pedro H. P. Savarese
E. Moroshko
Itay Golan
J. Lee
Daniel Soudry
Nathan Srebro
19
353
0
13 Jun 2019
Generalization bounds for deep convolutional neural networks
Generalization bounds for deep convolutional neural networks
Philip M. Long
Hanie Sedghi
MLT
34
89
0
29 May 2019
Norm-based generalisation bounds for multi-class convolutional neural
  networks
Norm-based generalisation bounds for multi-class convolutional neural networks
Antoine Ledent
Waleed Mustafa
Yunwen Lei
Marius Kloft
8
5
0
29 May 2019
Gram-Gauss-Newton Method: Learning Overparameterized Neural Networks for
  Regression Problems
Gram-Gauss-Newton Method: Learning Overparameterized Neural Networks for Regression Problems
Tianle Cai
Ruiqi Gao
Jikai Hou
Siyu Chen
Dong Wang
Di He
Zhihua Zhang
Liwei Wang
ODL
11
57
0
28 May 2019
Enhancing Adversarial Defense by k-Winners-Take-All
Enhancing Adversarial Defense by k-Winners-Take-All
Chang Xiao
Peilin Zhong
Changxi Zheng
AAML
11
97
0
25 May 2019
What Can ResNet Learn Efficiently, Going Beyond Kernels?
What Can ResNet Learn Efficiently, Going Beyond Kernels?
Zeyuan Allen-Zhu
Yuanzhi Li
24
183
0
24 May 2019
Gradient Descent can Learn Less Over-parameterized Two-layer Neural
  Networks on Classification Problems
Gradient Descent can Learn Less Over-parameterized Two-layer Neural Networks on Classification Problems
Atsushi Nitanda
Geoffrey Chinot
Taiji Suzuki
MLT
8
33
0
23 May 2019
A type of generalization error induced by initialization in deep neural
  networks
A type of generalization error induced by initialization in deep neural networks
Yaoyu Zhang
Zhi-Qin John Xu
Tao Luo
Zheng Ma
9
49
0
19 May 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
11
241
0
27 Apr 2019
On Exact Computation with an Infinitely Wide Neural Net
On Exact Computation with an Infinitely Wide Neural Net
Sanjeev Arora
S. Du
Wei Hu
Zhiyuan Li
Ruslan Salakhutdinov
Ruosong Wang
22
899
0
26 Apr 2019
Analysis of the Gradient Descent Algorithm for a Deep Neural Network
  Model with Skip-connections
Analysis of the Gradient Descent Algorithm for a Deep Neural Network Model with Skip-connections
E. Weinan
Chao Ma
Qingcan Wang
Lei Wu
MLT
21
22
0
10 Apr 2019
Correlation Congruence for Knowledge Distillation
Correlation Congruence for Knowledge Distillation
Baoyun Peng
Xiao Jin
Jiaheng Liu
Shunfeng Zhou
Yichao Wu
Yu Liu
Dongsheng Li
Zhaoning Zhang
37
507
0
03 Apr 2019
Gradient Descent with Early Stopping is Provably Robust to Label Noise
  for Overparameterized Neural Networks
Gradient Descent with Early Stopping is Provably Robust to Label Noise for Overparameterized Neural Networks
Mingchen Li
Mahdi Soltanolkotabi
Samet Oymak
NoLa
26
350
0
27 Mar 2019
A Priori Estimates of the Population Risk for Residual Networks
A Priori Estimates of the Population Risk for Residual Networks
E. Weinan
Chao Ma
Qingcan Wang
UQCV
15
61
0
06 Mar 2019
Understanding over-parameterized deep networks by geometrization
Understanding over-parameterized deep networks by geometrization
Xiao Dong
Ling Zhou
GNN
AI4CE
13
7
0
11 Feb 2019
Stiffness: A New Perspective on Generalization in Neural Networks
Stiffness: A New Perspective on Generalization in Neural Networks
Stanislav Fort
Pawel Krzysztof Nowak
Stanislaw Jastrzebski
S. Narayanan
19
94
0
28 Jan 2019
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
Sanjeev Arora
S. Du
Wei Hu
Zhiyuan Li
Ruosong Wang
MLT
29
961
0
24 Jan 2019
Width Provably Matters in Optimization for Deep Linear Neural Networks
Width Provably Matters in Optimization for Deep Linear Neural Networks
S. Du
Wei Hu
13
93
0
24 Jan 2019
Scaling description of generalization with number of parameters in deep
  learning
Scaling description of generalization with number of parameters in deep learning
Mario Geiger
Arthur Jacot
S. Spigler
Franck Gabriel
Levent Sagun
Stéphane dÁscoli
Giulio Biroli
Clément Hongler
M. Wyart
33
194
0
06 Jan 2019
Analysis of a Two-Layer Neural Network via Displacement Convexity
Analysis of a Two-Layer Neural Network via Displacement Convexity
Adel Javanmard
Marco Mondelli
Andrea Montanari
MLT
40
57
0
05 Jan 2019
Deep Geometric Prior for Surface Reconstruction
Deep Geometric Prior for Surface Reconstruction
Francis Williams
T. Schneider
Claudio Silva
Denis Zorin
Joan Bruna
Daniele Panozzo
3DPC
14
189
0
27 Nov 2018
Stochastic Gradient Descent Optimizes Over-parameterized Deep ReLU
  Networks
Stochastic Gradient Descent Optimizes Over-parameterized Deep ReLU Networks
Difan Zou
Yuan Cao
Dongruo Zhou
Quanquan Gu
ODL
11
446
0
21 Nov 2018
Gradient Descent Finds Global Minima of Deep Neural Networks
Gradient Descent Finds Global Minima of Deep Neural Networks
S. Du
J. Lee
Haochuan Li
Liwei Wang
M. Tomizuka
ODL
15
1,120
0
09 Nov 2018
Small ReLU networks are powerful memorizers: a tight analysis of
  memorization capacity
Small ReLU networks are powerful memorizers: a tight analysis of memorization capacity
Chulhee Yun
S. Sra
Ali Jadbabaie
13
117
0
17 Oct 2018
Learning Two-layer Neural Networks with Symmetric Inputs
Learning Two-layer Neural Networks with Symmetric Inputs
Rong Ge
Rohith Kuditipudi
Zhize Li
Xiang Wang
OOD
MLT
25
57
0
16 Oct 2018
A Priori Estimates of the Population Risk for Two-layer Neural Networks
A Priori Estimates of the Population Risk for Two-layer Neural Networks
Weinan E
Chao Ma
Lei Wu
24
130
0
15 Oct 2018
Regularization Matters: Generalization and Optimization of Neural Nets
  v.s. their Induced Kernel
Regularization Matters: Generalization and Optimization of Neural Nets v.s. their Induced Kernel
Colin Wei
J. Lee
Qiang Liu
Tengyu Ma
16
243
0
12 Oct 2018
Unbiased deep solvers for linear parametric PDEs
Unbiased deep solvers for linear parametric PDEs
Marc Sabate Vidales
David Siska
Lukasz Szpruch
OOD
24
7
0
11 Oct 2018
Learning One-hidden-layer ReLU Networks via Gradient Descent
Learning One-hidden-layer ReLU Networks via Gradient Descent
Xiao Zhang
Yaodong Yu
Lingxiao Wang
Quanquan Gu
MLT
24
134
0
20 Jun 2018
Compressed Sensing with Deep Image Prior and Learned Regularization
Compressed Sensing with Deep Image Prior and Learned Regularization
Dave Van Veen
A. Jalal
Mahdi Soltanolkotabi
Eric Price
S. Vishwanath
A. Dimakis
24
178
0
17 Jun 2018
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