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Quadratic Suffices for Over-parametrization via Matrix Chernoff Bound

Quadratic Suffices for Over-parametrization via Matrix Chernoff Bound

9 June 2019
Zhao Song
Xin Yang
ArXivPDFHTML

Papers citing "Quadratic Suffices for Over-parametrization via Matrix Chernoff Bound"

28 / 28 papers shown
Title
How to Protect Copyright Data in Optimization of Large Language Models?
How to Protect Copyright Data in Optimization of Large Language Models?
T. Chu
Zhao Song
Chiwun Yang
45
29
0
23 Aug 2023
Understanding Deep Neural Networks via Linear Separability of Hidden
  Layers
Understanding Deep Neural Networks via Linear Separability of Hidden Layers
Chao Zhang
Xinyuan Chen
Wensheng Li
Lixue Liu
Wei Wu
Dacheng Tao
28
3
0
26 Jul 2023
Efficient SGD Neural Network Training via Sublinear Activated Neuron
  Identification
Efficient SGD Neural Network Training via Sublinear Activated Neuron Identification
Lianke Qin
Zhao Song
Yuanyuan Yang
30
9
0
13 Jul 2023
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
84
31
0
25 Nov 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
56
6
0
17 Sep 2022
Provable Acceleration of Nesterov's Accelerated Gradient Method over
  Heavy Ball Method in Training Over-Parameterized Neural Networks
Provable Acceleration of Nesterov's Accelerated Gradient Method over Heavy Ball Method in Training Over-Parameterized Neural Networks
Xin Liu
Wei Tao
Wei Li
Dazhi Zhan
Jun Wang
Zhisong Pan
ODL
32
1
0
08 Aug 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
Implicit Bias of MSE Gradient Optimization in Underparameterized Neural
  Networks
Implicit Bias of MSE Gradient Optimization in Underparameterized Neural Networks
Benjamin Bowman
Guido Montúfar
28
11
0
12 Jan 2022
Training Multi-Layer Over-Parametrized Neural Network in Subquadratic
  Time
Training Multi-Layer Over-Parametrized Neural Network in Subquadratic Time
Zhao Song
Licheng Zhang
Ruizhe Zhang
32
64
0
14 Dec 2021
On the Convergence of Shallow Neural Network Training with Randomly
  Masked Neurons
On the Convergence of Shallow Neural Network Training with Randomly Masked Neurons
Fangshuo Liao
Anastasios Kyrillidis
51
16
0
05 Dec 2021
Fast Graph Neural Tangent Kernel via Kronecker Sketching
Fast Graph Neural Tangent Kernel via Kronecker Sketching
Shunhua Jiang
Yunze Man
Zhao Song
Zheng Yu
Danyang Zhuo
29
6
0
04 Dec 2021
Pixelated Butterfly: Simple and Efficient Sparse training for Neural
  Network Models
Pixelated Butterfly: Simple and Efficient Sparse training for Neural Network Models
Tri Dao
Beidi Chen
Kaizhao Liang
Jiaming Yang
Zhao Song
Atri Rudra
Christopher Ré
33
75
0
30 Nov 2021
Subquadratic Overparameterization for Shallow Neural Networks
Subquadratic Overparameterization for Shallow Neural Networks
Chaehwan Song
Ali Ramezani-Kebrya
Thomas Pethick
Armin Eftekhari
V. Cevher
30
31
0
02 Nov 2021
Does Preprocessing Help Training Over-parameterized Neural Networks?
Does Preprocessing Help Training Over-parameterized Neural Networks?
Zhao Song
Shuo Yang
Ruizhe Zhang
38
49
0
09 Oct 2021
Deformed semicircle law and concentration of nonlinear random matrices
  for ultra-wide neural networks
Deformed semicircle law and concentration of nonlinear random matrices for ultra-wide neural networks
Zhichao Wang
Yizhe Zhu
37
18
0
20 Sep 2021
Fast Sketching of Polynomial Kernels of Polynomial Degree
Fast Sketching of Polynomial Kernels of Polynomial Degree
Zhao Song
David P. Woodruff
Zheng Yu
Lichen Zhang
21
40
0
21 Aug 2021
FL-NTK: A Neural Tangent Kernel-based Framework for Federated Learning
  Convergence Analysis
FL-NTK: A Neural Tangent Kernel-based Framework for Federated Learning Convergence Analysis
Baihe Huang
Xiaoxiao Li
Zhao Song
Xin Yang
FedML
31
16
0
11 May 2021
GIST: Distributed Training for Large-Scale Graph Convolutional Networks
GIST: Distributed Training for Large-Scale Graph Convolutional Networks
Cameron R. Wolfe
Jingkang Yang
Arindam Chowdhury
Chen Dun
Artun Bayer
Santiago Segarra
Anastasios Kyrillidis
BDL
GNN
LRM
54
9
0
20 Feb 2021
On the Proof of Global Convergence of Gradient Descent for Deep ReLU
  Networks with Linear Widths
On the Proof of Global Convergence of Gradient Descent for Deep ReLU Networks with Linear Widths
Quynh N. Nguyen
53
48
0
24 Jan 2021
A Convergence Theory Towards Practical Over-parameterized Deep Neural
  Networks
A Convergence Theory Towards Practical Over-parameterized Deep Neural Networks
Asaf Noy
Yi Tian Xu
Y. Aflalo
Lihi Zelnik-Manor
Rong Jin
41
3
0
12 Jan 2021
Tight Bounds on the Smallest Eigenvalue of the Neural Tangent Kernel for
  Deep ReLU Networks
Tight Bounds on the Smallest Eigenvalue of the Neural Tangent Kernel for Deep ReLU Networks
Quynh N. Nguyen
Marco Mondelli
Guido Montúfar
25
81
0
21 Dec 2020
Deep Equals Shallow for ReLU Networks in Kernel Regimes
Deep Equals Shallow for ReLU Networks in Kernel Regimes
A. Bietti
Francis R. Bach
30
86
0
30 Sep 2020
Generalized Leverage Score Sampling for Neural Networks
Generalized Leverage Score Sampling for Neural Networks
J. Lee
Ruoqi Shen
Zhao Song
Mengdi Wang
Zheng Yu
21
42
0
21 Sep 2020
Training (Overparametrized) Neural Networks in Near-Linear Time
Training (Overparametrized) Neural Networks in Near-Linear Time
Jan van den Brand
Binghui Peng
Zhao Song
Omri Weinstein
ODL
29
82
0
20 Jun 2020
Learning Parities with Neural Networks
Learning Parities with Neural Networks
Amit Daniely
Eran Malach
24
76
0
18 Feb 2020
Over-parameterized Adversarial Training: An Analysis Overcoming the
  Curse of Dimensionality
Over-parameterized Adversarial Training: An Analysis Overcoming the Curse of Dimensionality
Yi Zhang
Orestis Plevrakis
S. Du
Xingguo Li
Zhao Song
Sanjeev Arora
29
51
0
16 Feb 2020
Memory capacity of neural networks with threshold and ReLU activations
Memory capacity of neural networks with threshold and ReLU activations
Roman Vershynin
31
21
0
20 Jan 2020
Enhancing Adversarial Defense by k-Winners-Take-All
Enhancing Adversarial Defense by k-Winners-Take-All
Chang Xiao
Peilin Zhong
Changxi Zheng
AAML
24
97
0
25 May 2019
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