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A Differential Equation for Modeling Nesterov's Accelerated Gradient
  Method: Theory and Insights
v1v2 (latest)

A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights

4 March 2015
Weijie Su
Stephen P. Boyd
Emmanuel J. Candes
ArXiv (abs)PDFHTML

Papers citing "A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights"

50 / 329 papers shown
Plug-and-Play Image Restoration with Flow Matching: A Continuous Viewpoint
Plug-and-Play Image Restoration with Flow Matching: A Continuous Viewpoint
Fan Jia
Yuhao Huang
Shih-Hsin Wang
Cristina Garcia-Cardona
Andrea L. Bertozzi
Bao Wang
109
1
0
03 Dec 2025
Gradient Descent Algorithm Survey
Gradient Descent Algorithm Survey
Deng Fucheng
Wang Wanjie
Gong Ao
Wang Xiaoqi
Wang Fan
ODL
318
0
0
25 Nov 2025
Optimistic Online-to-Batch Conversions for Accelerated Convergence and Universality
Optimistic Online-to-Batch Conversions for Accelerated Convergence and Universality
Yu-Hu Yan
Peng Zhao
Zhi Zhou
253
0
0
10 Nov 2025
High-dimensional limit theorems for SGD: Momentum and Adaptive Step-sizes
High-dimensional limit theorems for SGD: Momentum and Adaptive Step-sizes
Aukosh Jagannath
Taj Jones-McCormick
Varnan Sarangian
171
1
0
06 Nov 2025
Stochastic Difference-of-Convex Optimization with Momentum
Stochastic Difference-of-Convex Optimization with Momentum
El Mahdi Chayti
Martin Jaggi
148
0
0
20 Oct 2025
Consistency Models as Plug-and-Play Priors for Inverse Problems
Consistency Models as Plug-and-Play Priors for Inverse Problems
Merve Gülle
Junno Yun
Yasar Utku Alçalar
Mehmet Akçakaya
DiffMMedIm
368
3
0
25 Sep 2025
Natural Spectral Fusion: p-Exponent Cyclic Scheduling and Early Decision-Boundary Alignment in First-Order Optimization
Natural Spectral Fusion: p-Exponent Cyclic Scheduling and Early Decision-Boundary Alignment in First-Order Optimization
Gongyue Zhang
Honghai Liu
114
0
0
05 Sep 2025
Towards understanding Accelerated Stein Variational Gradient Flow -- Analysis of Generalized Bilinear Kernels for Gaussian target distributions
Towards understanding Accelerated Stein Variational Gradient Flow -- Analysis of Generalized Bilinear Kernels for Gaussian target distributions
Viktor Stein
Wuchen Li
251
2
0
04 Sep 2025
Dynamic Low-rank Approximation of Full-Matrix Preconditioner for Training Generalized Linear Models
Dynamic Low-rank Approximation of Full-Matrix Preconditioner for Training Generalized Linear Models
Tatyana Matveeva
Aleksandr Katrutsa
Evgeny Frolov
AI4CE
142
1
0
28 Aug 2025
Optimization-Induced Dynamics of Lipschitz Continuity in Neural Networks
Optimization-Induced Dynamics of Lipschitz Continuity in Neural Networks
Róisín Luo
James McDermott
Christian Gagné
Qiang Sun
C. O'Riordan
198
0
0
23 Jun 2025
Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters
Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters
Mathukumalli Vidyasagar
344
1
0
13 Jun 2025
Heavy-Ball Momentum Method in Continuous Time and Discretization Error Analysis
Heavy-Ball Momentum Method in Continuous Time and Discretization Error Analysis
Bochen Lyu
Xiaojing Zhang
Fangyi Zheng
He Wang
Zheng Wang
Zhanxing Zhu
320
0
0
03 Jun 2025
Accelerating Optimization via Differentiable Stopping Time
Accelerating Optimization via Differentiable Stopping Time
Zhonglin Xie
Yiman Fong
Haoran Yuan
Zaiwen Wen
160
0
0
28 May 2025
Continuous-Time Analysis of Heavy Ball Momentum in Min-Max Games
Continuous-Time Analysis of Heavy Ball Momentum in Min-Max Games
Yi-Hu Feng
Kaito Fujii
Stratis Skoulakis
Xiao Wang
Volkan Cevher
418
1
0
26 May 2025
Computational Inertia as a Conserved Quantity in Frictionless and Damped Learning Dynamics
Computational Inertia as a Conserved Quantity in Frictionless and Damped Learning Dynamics
Atahan Karagoz
238
2
0
25 May 2025
Quantum Optimization via Gradient-Based Hamiltonian Descent
Quantum Optimization via Gradient-Based Hamiltonian Descent
Jiaqi Leng
Bin Shi
281
4
0
20 May 2025
Learning by solving differential equations
Learning by solving differential equations
Benoit Dherin
Michael Munn
Hanna Mazzawi
Michael Wunder
Sourabh Medapati
Javier Gonzalvo
369
0
0
19 May 2025
Accelerated Markov Chain Monte Carlo Algorithms on Discrete States
Accelerated Markov Chain Monte Carlo Algorithms on Discrete States
Bohan Zhou
Shu Liu
Xinzhe Zuo
Wuchen Li
202
0
0
19 May 2025
Accelerated Stein Variational Gradient Flow
Accelerated Stein Variational Gradient Flow
Viktor Stein
Wuchen Li
372
4
0
30 Mar 2025
Functional multi-armed bandit and the best function identification problems
Functional multi-armed bandit and the best function identification problems
Yuriy Dorn
Aleksandr Katrutsa
Ilgam Latypov
Anastasiia Soboleva
259
1
0
01 Mar 2025
Accelerated regularized learning in finite N-person games
Accelerated regularized learning in finite N-person gamesNeural Information Processing Systems (NeurIPS), 2024
Kyriakos Lotidis
Angeliki Giannou
P. Mertikopoulos
Nicholas Bambos
302
2
0
31 Dec 2024
Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs
Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs
Oluwatosin Akande
Patrick Dondl
Kanan Gupta
Akwum Onwunta
Stephan Wojtowytsch
320
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0
31 Dec 2024
Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms
Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms
Mingwei Fu
Bin Shi
447
1
0
18 Dec 2024
Explicit and data-Efficient Encoding via Gradient Flow
Explicit and data-Efficient Encoding via Gradient Flow
Kyriakos Flouris
Anna Volokitin
G. Bredell
E. Konukoglu
AI4CE
465
3
0
01 Dec 2024
A Natural Primal-Dual Hybrid Gradient Method for Adversarial Neural Network Training on Solving Partial Differential Equations
A Natural Primal-Dual Hybrid Gradient Method for Adversarial Neural Network Training on Solving Partial Differential Equations
Shu Liu
Stanley Osher
Wuchen Li
384
3
0
09 Nov 2024
Polyak's Heavy Ball Method Achieves Accelerated Local Rate of Convergence under Polyak-Lojasiewicz Inequality
Polyak's Heavy Ball Method Achieves Accelerated Local Rate of Convergence under Polyak-Lojasiewicz Inequality
Sebastian Kassing
Simon Weissmann
348
8
0
22 Oct 2024
Nesterov acceleration in benignly non-convex landscapes
Nesterov acceleration in benignly non-convex landscapesInternational Conference on Learning Representations (ICLR), 2024
Kanan Gupta
Stephan Wojtowytsch
410
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Accelerated Preference Optimization for Large Language Model Alignment
Accelerated Preference Optimization for Large Language Model Alignment
Jiafan He
Huizhuo Yuan
Q. Gu
245
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0
08 Oct 2024
A second-order-like optimizer with adaptive gradient scaling for deep
  learning
A second-order-like optimizer with adaptive gradient scaling for deep learning
Jérôme Bolte
Ryan Boustany
Edouard Pauwels
Andrei Purica
ODL
231
0
0
08 Oct 2024
Distributed Optimization via Energy Conservation Laws in Dilated
  Coordinates
Distributed Optimization via Energy Conservation Laws in Dilated Coordinates
Mayank Baranwal
Kushal Chakrabarti
223
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28 Sep 2024
From exponential to finite/fixed-time stability: Applications to
  optimization
From exponential to finite/fixed-time stability: Applications to optimizationIEEE Conference on Decision and Control (CDC), 2024
Ibrahim Kurban Özaslan
Mihailo R. Jovanović
253
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0
18 Sep 2024
Revisiting Trace Norm Minimization for Tensor Tucker Completion: A
  Direct Multilinear Rank Learning Approach
Revisiting Trace Norm Minimization for Tensor Tucker Completion: A Direct Multilinear Rank Learning ApproachPattern Recognition (Pattern Recogn.), 2024
Xueke Tong
Hancheng Zhu
Lei Cheng
Yik-Chung Wu
260
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0
08 Sep 2024
Generalized Continuous-Time Models for Nesterov's Accelerated Gradient Methods
Generalized Continuous-Time Models for Nesterov's Accelerated Gradient Methods
Chanwoong Park
Youngchae Cho
Insoon Yang
223
1
0
02 Sep 2024
Accelerated forward-backward and Douglas-Rachford splitting dynamics
Accelerated forward-backward and Douglas-Rachford splitting dynamics
Ibrahim Kurban Özaslan
Mihailo R. Jovanović
144
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0
30 Jul 2024
Complex fractal trainability boundary can arise from trivial
  non-convexity
Complex fractal trainability boundary can arise from trivial non-convexity
Yizhou Liu
195
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20 Jun 2024
Distributed Stochastic Gradient Descent with Staleness: A Stochastic Delay Differential Equation Based Framework
Distributed Stochastic Gradient Descent with Staleness: A Stochastic Delay Differential Equation Based Framework
Siyuan Yu
Wei Chen
H. V. Poor
416
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0
17 Jun 2024
Primitive Agentic First-Order Optimization
Primitive Agentic First-Order OptimizationInternational Conference on Control, Decision and Information Technologies (CoDIT), 2024
R. Sala
248
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07 Jun 2024
Keep the Momentum: Conservation Laws beyond Euclidean Gradient Flows
Keep the Momentum: Conservation Laws beyond Euclidean Gradient Flows
Sibylle Marcotte
Rémi Gribonval
Gabriel Peyré
255
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0
21 May 2024
Distributed Event-Based Learning via ADMM
Distributed Event-Based Learning via ADMM
Güner Dilsad Er
Sebastian Trimpe
Michael Muehlebach
FedML
517
3
0
17 May 2024
Fast Stochastic Policy Gradient: Negative Momentum for Reinforcement
  Learning
Fast Stochastic Policy Gradient: Negative Momentum for Reinforcement Learning
Haobin Zhang
Zhuang Yang
247
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A General Continuous-Time Formulation of Stochastic ADMM and Its
  Variants
A General Continuous-Time Formulation of Stochastic ADMM and Its Variants
Chris Junchi Li
279
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Momentum-based gradient descent methods for Lie groups
Momentum-based gradient descent methods for Lie groups
Cédric M. Campos
David Martín de Diego
José Torrente
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Leveraging Continuous Time to Understand Momentum When Training Diagonal
  Linear Networks
Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear NetworksInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2024
Hristo Papazov
Scott Pesme
Nicolas Flammarion
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Characterizing the Training Dynamics of Private Fine-tuning with Langevin diffusion
Characterizing the Training Dynamics of Private Fine-tuning with Langevin diffusion
Shuqi Ke
Charlie Hou
Giulia Fanti
Sewoong Oh
291
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Fisher information dissipation for time inhomogeneous stochastic
  differential equations
Fisher information dissipation for time inhomogeneous stochastic differential equations
Qi Feng
Xinzhe Zuo
Wuchen Li
205
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01 Feb 2024
Continuous-time Riemannian SGD and SVRG Flows on Wasserstein Probabilistic Space
Continuous-time Riemannian SGD and SVRG Flows on Wasserstein Probabilistic Space
Mingyang Yi
Bohan Wang
436
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24 Jan 2024
KF-PLS: Optimizing Kernel Partial Least-Squares (K-PLS) with Kernel
  Flows
KF-PLS: Optimizing Kernel Partial Least-Squares (K-PLS) with Kernel Flows
Zina-Sabrina Duma
J. Susiluoto
Otto Lamminpää
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278
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On Tuning Neural ODE for Stability, Consistency and Faster Convergence
On Tuning Neural ODE for Stability, Consistency and Faster ConvergenceSN Computer Science (SCS), 2023
Sheikh Waqas Akhtar
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Quantum Langevin Dynamics for Optimization
Quantum Langevin Dynamics for OptimizationCommunications in Mathematical Physics (CMP), 2023
Zherui Chen
Yuchen Lu
Hao Wang
Yizhou Liu
Tongyang Li
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622
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0
27 Nov 2023
Near-optimal Closed-loop Method via Lyapunov Damping for Convex
  Optimization
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Severin Maier
Camille Castera
Peter Ochs
335
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0
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