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SGD Converges to Global Minimum in Deep Learning via Star-convex Path

SGD Converges to Global Minimum in Deep Learning via Star-convex Path

2 January 2019
Yi Zhou
Junjie Yang
Huishuai Zhang
Yingbin Liang
Vahid Tarokh
ArXivPDFHTML

Papers citing "SGD Converges to Global Minimum in Deep Learning via Star-convex Path"

21 / 21 papers shown
Title
Minimisation of Quasar-Convex Functions Using Random Zeroth-Order Oracles
Minimisation of Quasar-Convex Functions Using Random Zeroth-Order Oracles
Amir Ali Farzin
Yuen-Man Pun
Iman Shames
31
0
0
04 May 2025
Understanding Gradient Orthogonalization for Deep Learning via Non-Euclidean Trust-Region Optimization
Understanding Gradient Orthogonalization for Deep Learning via Non-Euclidean Trust-Region Optimization
Dmitry Kovalev
57
1
0
16 Mar 2025
Efficient Quantum Algorithms for Quantum Optimal Control
Efficient Quantum Algorithms for Quantum Optimal Control
Xiantao Li
Cong Wang
34
6
0
05 Apr 2023
PRISE: Demystifying Deep Lucas-Kanade with Strongly Star-Convex
  Constraints for Multimodel Image Alignment
PRISE: Demystifying Deep Lucas-Kanade with Strongly Star-Convex Constraints for Multimodel Image Alignment
Yiqing Zhang
Xinming Huang
Ziming Zhang
36
4
0
21 Mar 2023
DoG is SGD's Best Friend: A Parameter-Free Dynamic Step Size Schedule
DoG is SGD's Best Friend: A Parameter-Free Dynamic Step Size Schedule
Maor Ivgi
Oliver Hinder
Y. Carmon
ODL
28
57
0
08 Feb 2023
Optimization for Amortized Inverse Problems
Optimization for Amortized Inverse Problems
Tianci Liu
Tong Yang
Quan Zhang
Qi Lei
38
5
0
25 Oct 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
Sharper Utility Bounds for Differentially Private Models
Sharper Utility Bounds for Differentially Private Models
Yilin Kang
Yong Liu
Jian Li
Weiping Wang
FedML
35
3
0
22 Apr 2022
Tackling benign nonconvexity with smoothing and stochastic gradients
Tackling benign nonconvexity with smoothing and stochastic gradients
Harsh Vardhan
Sebastian U. Stich
28
8
0
18 Feb 2022
A Stochastic Bundle Method for Interpolating Networks
A Stochastic Bundle Method for Interpolating Networks
Alasdair Paren
Leonard Berrada
Rudra P. K. Poudel
M. P. Kumar
24
4
0
29 Jan 2022
Non-Asymptotic Analysis of Online Multiplicative Stochastic Gradient
  Descent
Non-Asymptotic Analysis of Online Multiplicative Stochastic Gradient Descent
Riddhiman Bhattacharya
Tiefeng Jiang
16
0
0
14 Dec 2021
Improved Learning Rates for Stochastic Optimization: Two Theoretical
  Viewpoints
Improved Learning Rates for Stochastic Optimization: Two Theoretical Viewpoints
Shaojie Li
Yong Liu
26
13
0
19 Jul 2021
SGD: The Role of Implicit Regularization, Batch-size and Multiple-epochs
SGD: The Role of Implicit Regularization, Batch-size and Multiple-epochs
Satyen Kale
Ayush Sekhari
Karthik Sridharan
193
29
0
11 Jul 2021
Stochastic Polyak Stepsize with a Moving Target
Stochastic Polyak Stepsize with a Moving Target
Robert Mansel Gower
Aaron Defazio
Michael G. Rabbat
32
17
0
22 Jun 2021
Decentralized Local Stochastic Extra-Gradient for Variational
  Inequalities
Decentralized Local Stochastic Extra-Gradient for Variational Inequalities
Aleksandr Beznosikov
Pavel Dvurechensky
Anastasia Koloskova
V. Samokhin
Sebastian U. Stich
Alexander Gasnikov
32
43
0
15 Jun 2021
A Decentralized Adaptive Momentum Method for Solving a Class of Min-Max
  Optimization Problems
A Decentralized Adaptive Momentum Method for Solving a Class of Min-Max Optimization Problems
Babak Barazandeh
Tianjian Huang
George Michailidis
32
12
0
10 Jun 2021
Local Stochastic Gradient Descent Ascent: Convergence Analysis and
  Communication Efficiency
Local Stochastic Gradient Descent Ascent: Convergence Analysis and Communication Efficiency
Yuyang Deng
M. Mahdavi
30
59
0
25 Feb 2021
Self-Adaptive Physics-Informed Neural Networks using a Soft Attention
  Mechanism
Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism
L. McClenny
U. Braga-Neto
PINN
28
444
0
07 Sep 2020
SGD for Structured Nonconvex Functions: Learning Rates, Minibatching and
  Interpolation
SGD for Structured Nonconvex Functions: Learning Rates, Minibatching and Interpolation
Robert Mansel Gower
Othmane Sebbouh
Nicolas Loizou
25
74
0
18 Jun 2020
Towards Better Understanding of Adaptive Gradient Algorithms in
  Generative Adversarial Nets
Towards Better Understanding of Adaptive Gradient Algorithms in Generative Adversarial Nets
Mingrui Liu
Youssef Mroueh
Jerret Ross
Wei Zhang
Xiaodong Cui
Payel Das
Tianbao Yang
ODL
46
63
0
26 Dec 2019
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
28
117
0
17 Oct 2018
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