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Lower Bounds for Non-Convex Stochastic Optimization

Lower Bounds for Non-Convex Stochastic Optimization

5 December 2019
Yossi Arjevani
Y. Carmon
John C. Duchi
Dylan J. Foster
Nathan Srebro
Blake E. Woodworth
ArXivPDFHTML

Papers citing "Lower Bounds for Non-Convex Stochastic Optimization"

50 / 70 papers shown
Title
Observability conditions for neural state-space models with eigenvalues and their roots of unity
Observability conditions for neural state-space models with eigenvalues and their roots of unity
Andrew Gracyk
117
0
0
22 Apr 2025
Nested Stochastic Gradient Descent for (Generalized) Sinkhorn Distance-Regularized Distributionally Robust Optimization
Nested Stochastic Gradient Descent for (Generalized) Sinkhorn Distance-Regularized Distributionally Robust Optimization
Y. Yang
Yi Zhou
Zhaosong Lu
49
0
0
29 Mar 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
52
0
0
16 Mar 2025
Variance Reduction Methods Do Not Need to Compute Full Gradients: Improved Efficiency through Shuffling
Variance Reduction Methods Do Not Need to Compute Full Gradients: Improved Efficiency through Shuffling
Daniil Medyakov
Gleb Molodtsov
S. Chezhegov
Alexey Rebrikov
Aleksandr Beznosikov
96
0
0
21 Feb 2025
From Gradient Clipping to Normalization for Heavy Tailed SGD
From Gradient Clipping to Normalization for Heavy Tailed SGD
Florian Hübler
Ilyas Fatkhullin
Niao He
40
5
0
17 Oct 2024
Adaptive Batch Size for Privately Finding Second-Order Stationary Points
Adaptive Batch Size for Privately Finding Second-Order Stationary Points
Daogao Liu
Kunal Talwar
127
0
0
10 Oct 2024
Extended convexity and smoothness and their applications in deep learning
Extended convexity and smoothness and their applications in deep learning
Binchuan Qi
Wei Gong
Li Li
61
0
0
08 Oct 2024
An Accelerated Algorithm for Stochastic Bilevel Optimization under Unbounded Smoothness
An Accelerated Algorithm for Stochastic Bilevel Optimization under Unbounded Smoothness
Xiaochuan Gong
Jie Hao
Mingrui Liu
43
2
0
28 Sep 2024
Convergence Conditions for Stochastic Line Search Based Optimization of
  Over-parametrized Models
Convergence Conditions for Stochastic Line Search Based Optimization of Over-parametrized Models
Matteo Lapucci
Davide Pucci
35
1
0
06 Aug 2024
Private Zeroth-Order Nonsmooth Nonconvex Optimization
Private Zeroth-Order Nonsmooth Nonconvex Optimization
Qinzi Zhang
Hoang Tran
Ashok Cutkosky
40
4
0
27 Jun 2024
Accelerated Stochastic Min-Max Optimization Based on Bias-corrected Momentum
Accelerated Stochastic Min-Max Optimization Based on Bias-corrected Momentum
H. Cai
Sulaiman A. Alghunaim
Ali H.Sayed
43
1
0
18 Jun 2024
Random Scaling and Momentum for Non-smooth Non-convex Optimization
Random Scaling and Momentum for Non-smooth Non-convex Optimization
Qinzi Zhang
Ashok Cutkosky
35
4
0
16 May 2024
Learning Optimal Deterministic Policies with Stochastic Policy Gradients
Learning Optimal Deterministic Policies with Stochastic Policy Gradients
Alessandro Montenegro
Marco Mussi
Alberto Maria Metelli
Matteo Papini
42
2
0
03 May 2024
Faster Convergence of Stochastic Accelerated Gradient Descent under Interpolation
Faster Convergence of Stochastic Accelerated Gradient Descent under Interpolation
Aaron Mishkin
Mert Pilanci
Mark Schmidt
62
1
0
03 Apr 2024
Convergence Guarantees for RMSProp and Adam in Generalized-smooth Non-convex Optimization with Affine Noise Variance
Convergence Guarantees for RMSProp and Adam in Generalized-smooth Non-convex Optimization with Affine Noise Variance
Qi Zhang
Yi Zhou
Shaofeng Zou
34
3
0
01 Apr 2024
Stochastic Halpern iteration in normed spaces and applications to reinforcement learning
Stochastic Halpern iteration in normed spaces and applications to reinforcement learning
Mario Bravo
Juan Pablo Contreras
40
3
0
19 Mar 2024
Non-Convex Stochastic Composite Optimization with Polyak Momentum
Non-Convex Stochastic Composite Optimization with Polyak Momentum
Yuan Gao
Anton Rodomanov
Sebastian U. Stich
29
6
0
05 Mar 2024
Remove that Square Root: A New Efficient Scale-Invariant Version of AdaGrad
Remove that Square Root: A New Efficient Scale-Invariant Version of AdaGrad
Sayantan Choudhury
N. Tupitsa
Nicolas Loizou
Samuel Horváth
Martin Takáč
Eduard A. Gorbunov
30
1
0
05 Mar 2024
On Convergence of Adam for Stochastic Optimization under Relaxed Assumptions
On Convergence of Adam for Stochastic Optimization under Relaxed Assumptions
Yusu Hong
Junhong Lin
43
10
0
06 Feb 2024
How Free is Parameter-Free Stochastic Optimization?
How Free is Parameter-Free Stochastic Optimization?
Amit Attia
Tomer Koren
ODL
44
4
0
05 Feb 2024
Bilevel Optimization under Unbounded Smoothness: A New Algorithm and
  Convergence Analysis
Bilevel Optimization under Unbounded Smoothness: A New Algorithm and Convergence Analysis
Jie Hao
Xiaochuan Gong
Mingrui Liu
25
7
0
17 Jan 2024
Convergence Rates for Stochastic Approximation: Biased Noise with
  Unbounded Variance, and Applications
Convergence Rates for Stochastic Approximation: Biased Noise with Unbounded Variance, and Applications
R. Karandikar
M. Vidyasagar
25
8
0
05 Dec 2023
Demystifying the Myths and Legends of Nonconvex Convergence of SGD
Demystifying the Myths and Legends of Nonconvex Convergence of SGD
Aritra Dutta
El Houcine Bergou
Soumia Boucherouite
Nicklas Werge
M. Kandemir
Xin Li
26
0
0
19 Oct 2023
Communication Compression for Byzantine Robust Learning: New Efficient
  Algorithms and Improved Rates
Communication Compression for Byzantine Robust Learning: New Efficient Algorithms and Improved Rates
Ahmad Rammal
Kaja Gruntkowska
Nikita Fedin
Eduard A. Gorbunov
Peter Richtárik
37
5
0
15 Oct 2023
Variance-reduced accelerated methods for decentralized stochastic
  double-regularized nonconvex strongly-concave minimax problems
Variance-reduced accelerated methods for decentralized stochastic double-regularized nonconvex strongly-concave minimax problems
Gabriel Mancino-Ball
Yangyang Xu
18
8
0
14 Jul 2023
Nonconvex Stochastic Bregman Proximal Gradient Method with Application to Deep Learning
Nonconvex Stochastic Bregman Proximal Gradient Method with Application to Deep Learning
Kuan-Fu Ding
Jingyang Li
Kim-Chuan Toh
25
8
0
26 Jun 2023
Symmetry & Critical Points for Symmetric Tensor Decomposition Problems
Symmetry & Critical Points for Symmetric Tensor Decomposition Problems
Yossi Arjevani
Gal Vinograd
26
5
0
13 Jun 2023
How to escape sharp minima with random perturbations
How to escape sharp minima with random perturbations
Kwangjun Ahn
Ali Jadbabaie
S. Sra
ODL
29
6
0
25 May 2023
Two Sides of One Coin: the Limits of Untuned SGD and the Power of
  Adaptive Methods
Two Sides of One Coin: the Limits of Untuned SGD and the Power of Adaptive Methods
Junchi Yang
Xiang Li
Ilyas Fatkhullin
Niao He
34
15
0
21 May 2023
Lower Bounds and Accelerated Algorithms in Distributed Stochastic Optimization with Communication Compression
Lower Bounds and Accelerated Algorithms in Distributed Stochastic Optimization with Communication Compression
Yutong He
Xinmeng Huang
Yiming Chen
W. Yin
Kun Yuan
28
7
0
12 May 2023
Orthogonal Directions Constrained Gradient Method: from non-linear
  equality constraints to Stiefel manifold
Orthogonal Directions Constrained Gradient Method: from non-linear equality constraints to Stiefel manifold
S. Schechtman
D. Tiapkin
Michael Muehlebach
Eric Moulines
27
6
0
16 Mar 2023
Enhanced Adaptive Gradient Algorithms for Nonconvex-PL Minimax Optimization
Enhanced Adaptive Gradient Algorithms for Nonconvex-PL Minimax Optimization
Feihu Huang
Chunyu Xuan
Xinrui Wang
Siqi Zhang
Songcan Chen
28
7
0
07 Mar 2023
A One-Sample Decentralized Proximal Algorithm for Non-Convex Stochastic
  Composite Optimization
A One-Sample Decentralized Proximal Algorithm for Non-Convex Stochastic Composite Optimization
Tesi Xiao
Xuxing Chen
Krishnakumar Balasubramanian
Saeed Ghadimi
26
10
0
20 Feb 2023
Solving stochastic weak Minty variational inequalities without
  increasing batch size
Solving stochastic weak Minty variational inequalities without increasing batch size
Thomas Pethick
Olivier Fercoq
P. Latafat
Panagiotis Patrinos
V. Cevher
13
23
0
17 Feb 2023
SGD with AdaGrad Stepsizes: Full Adaptivity with High Probability to
  Unknown Parameters, Unbounded Gradients and Affine Variance
SGD with AdaGrad Stepsizes: Full Adaptivity with High Probability to Unknown Parameters, Unbounded Gradients and Affine Variance
Amit Attia
Tomer Koren
ODL
17
24
0
17 Feb 2023
Deterministic Nonsmooth Nonconvex Optimization
Deterministic Nonsmooth Nonconvex Optimization
Michael I. Jordan
Guy Kornowski
Tianyi Lin
Ohad Shamir
Manolis Zampetakis
49
24
0
16 Feb 2023
Breaking the Lower Bound with (Little) Structure: Acceleration in
  Non-Convex Stochastic Optimization with Heavy-Tailed Noise
Breaking the Lower Bound with (Little) Structure: Acceleration in Non-Convex Stochastic Optimization with Heavy-Tailed Noise
Zijian Liu
Jiawei Zhang
Zhengyuan Zhou
30
12
0
14 Feb 2023
Stochastic Inexact Augmented Lagrangian Method for Nonconvex Expectation
  Constrained Optimization
Stochastic Inexact Augmented Lagrangian Method for Nonconvex Expectation Constrained Optimization
Zichong Li
Pinzhuo Chen
Sijia Liu
Songtao Lu
Yangyang Xu
27
17
0
19 Dec 2022
Variance-Reduced Conservative Policy Iteration
Variance-Reduced Conservative Policy Iteration
Naman Agarwal
Brian Bullins
Karan Singh
24
3
0
12 Dec 2022
Momentum Aggregation for Private Non-convex ERM
Momentum Aggregation for Private Non-convex ERM
Hoang Tran
Ashok Cutkosky
15
14
0
12 Oct 2022
Annihilation of Spurious Minima in Two-Layer ReLU Networks
Annihilation of Spurious Minima in Two-Layer ReLU Networks
Yossi Arjevani
M. Field
16
8
0
12 Oct 2022
Gradient-Free Methods for Deterministic and Stochastic Nonsmooth
  Nonconvex Optimization
Gradient-Free Methods for Deterministic and Stochastic Nonsmooth Nonconvex Optimization
Tianyi Lin
Zeyu Zheng
Michael I. Jordan
49
51
0
12 Sep 2022
Multi-block-Single-probe Variance Reduced Estimator for Coupled
  Compositional Optimization
Multi-block-Single-probe Variance Reduced Estimator for Coupled Compositional Optimization
Wei Jiang
Gang Li
Yibo Wang
Lijun Zhang
Tianbao Yang
27
16
0
18 Jul 2022
Multi-block Min-max Bilevel Optimization with Applications in Multi-task
  Deep AUC Maximization
Multi-block Min-max Bilevel Optimization with Applications in Multi-task Deep AUC Maximization
Quanqi Hu
Yongjian Zhong
Tianbao Yang
25
16
0
01 Jun 2022
Convergence of gradient descent for deep neural networks
Convergence of gradient descent for deep neural networks
S. Chatterjee
ODL
21
20
0
30 Mar 2022
Federated Minimax Optimization: Improved Convergence Analyses and
  Algorithms
Federated Minimax Optimization: Improved Convergence Analyses and Algorithms
Pranay Sharma
Rohan Panda
Gauri Joshi
P. Varshney
FedML
21
46
0
09 Mar 2022
Tackling benign nonconvexity with smoothing and stochastic gradients
Tackling benign nonconvexity with smoothing and stochastic gradients
Harsh Vardhan
Sebastian U. Stich
20
8
0
18 Feb 2022
Optimal Algorithms for Stochastic Multi-Level Compositional Optimization
Optimal Algorithms for Stochastic Multi-Level Compositional Optimization
Wei Jiang
Bokun Wang
Yibo Wang
Lijun Zhang
Tianbao Yang
74
17
0
15 Feb 2022
Faster Perturbed Stochastic Gradient Methods for Finding Local Minima
Faster Perturbed Stochastic Gradient Methods for Finding Local Minima
Zixiang Chen
Dongruo Zhou
Quanquan Gu
25
1
0
25 Oct 2021
Non-convex Distributionally Robust Optimization: Non-asymptotic Analysis
Non-convex Distributionally Robust Optimization: Non-asymptotic Analysis
Jikai Jin
Samir Bhatt
Haiyang Wang
Liwei Wang
30
47
0
24 Oct 2021
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