An Adaptive Policy to Employ Sharpness-Aware Minimization
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Abstract (arXiv)
Sharpness-aware minimization (SAM), which searches for flat minima by min-max optimization, has been shown to be useful in improving model generalization. However, since each SAM update requires computing two gradients, its computational cost and training time are both doubled compared to standard empirical risk minimization (ERM). Recent state-of-the-arts reduce the fraction of SAM updates and thus accelerate SAM by switching between SAM and ERM updates randomly or periodically. In this paper, we design an adaptive policy to employ SAM based on the loss landscape geometry. Two efficient algorithms, AE-SAM and AE-LookSAM, are proposed. We theoretically show that AE-SAM has the same convergence rate as SAM. Experimental results on various datasets and architectures demonstrate the efficiency and effectiveness of the adaptive policy.
Key facts. Cited by 43 papers in the map (data through 7 Oct 2026). Builds on 33 of its 43 references that are in the map. First posted on arXiv 28 Apr 2023.
Builds on
33 of 43 references.
References · 33
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 29,915
- 2014ImageNet Large Scale Visual Recognition Challengecited by 8,441
- 2016Wide Residual Networkscited by 3,057
- 2020Sharpness-Aware Minimization for Efficiently Improving Generalizationcited by 1,404
- 2016On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minimacited by 1,337
- 2018Averaging Weights Leads to Wider Optima and Better Generalizationcited by 1,194
- 2016Optimization Methods for Large-Scale Machine Learningcited by 1,140
- 2013Stochastic First- and Zeroth-order Methods for Nonconvex Stochastic Programmingcited by 716
- 2017Exploring Generalization in Deep Learningcited by 595
- 2017Computing Nonvacuous Generalization Bounds for Deep (Stochastic) Neural Networks with Many More Parameters than Training Datacited by 527
21 more
- 2019Fantastic Generalization Measures and Where to Find Themcited by 507
- 2017Sharp Minima Can Generalize For Deep Netscited by 462
- 2021SWAD: Domain Generalization by Seeking Flat Minimacited by 431
- 2016Entropy-SGD: Biasing Gradient Descent Into Wide Valleyscited by 357
- 2021ASAM: Adaptive Sharpness-Aware Minimization for Scale-Invariant Learning of Deep Neural Networkscited by 293
- 2022Surrogate Gap Minimization Improves Sharpness-Aware Trainingcited by 171
- 2016Deep Pyramidal Residual Networkscited by 163
- 2022Towards Understanding Sharpness-Aware Minimizationcited by 145
- 2022Generalized Federated Learning via Sharpness Aware Minimizationcited by 144
- 2016Stochastic Variance Reduction for Nonconvex Optimizationcited by 143
- 2021Efficient Sharpness-aware Minimization for Improved Training of Neural Networkscited by 137
- 2018Fast and Scalable Bayesian Deep Learning by Weight-Perturbation in Adamcited by 131
- 2022Towards Efficient and Scalable Sharpness-Aware Minimizationcited by 129
- 2022Penalizing Gradient Norm for Efficiently Improving Generalization in Deep Learningcited by 122
- 2022Sharpness-Aware Training for Freecited by 95
- 2019Asymmetric Valleys: Beyond Sharp and Flat Local Minimacited by 90
- 2020Relative Flatness and Generalizationcited by 88
- 2022Fisher SAM: Information Geometry and Sharpness Aware Minimisationcited by 84
- 2022Sharp-MAML: Sharpness-Aware Model-Agnostic Meta Learningcited by 57
- 2022Anticorrelated Noise Injection for Improved Generalizationcited by 41
- 2022Low-Pass Filtering SGD for Recovering Flat Optima in the Deep Learning Optimization Landscapecited by 39
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Citing papers per year: 2023: 4; 2024: 19; 2025: 14; 2026: 6.
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- 2025Towards LLM Unlearning Resilient to Relearning Attacks: A Sharpness-Aware Minimization Perspective and Beyondcited by 76
- 2024Friendly Sharpness-Aware Minimizationcited by 52
- 2023Enhancing Sharpness-Aware Optimization Through Variance Suppressioncited by 37
- 2023Practical Sharpness-Aware Minimization Cannot Converge All the Way to Optimacited by 20
- 2023Adaptive Sharpness-Aware Pruning for Robust Sparse Networkscited by 17
- 2024Momentum-SAM: Sharpness Aware Minimization without Computational Overheadcited by 13
- 2024Revisiting Random Weight Perturbation for Efficiently Improving Generalizationcited by 13
- 2024Domain-Inspired Sharpness-Aware Minimization Under Domain Shiftscited by 12
- 2023CR-SAM: Curvature Regularized Sharpness-Aware Minimizationcited by 10
- 2024Seeking Consistent Flat Minima for Better Domain Generalization via Refining Loss Landscapescited by 10
- 2024Implicit Regularization of Sharpness-Aware Minimization for Scale-Invariant Problemscited by 9
- 2024Stabilizing Sharpness-aware Minimization Through A Simple Renormalization Strategycited by 8
31 more
- 2024SAMPa: Sharpness-aware Minimization Parallelizedcited by 8
- 2025MetaDefense: Defending Finetuning-based Jailbreak Attack Before and During Generationcited by 8
- 2024Efficient Sharpness-Aware Minimization for Molecular Graph Transformer Modelscited by 7
- 2025Adjusting Initial Noise to Mitigate Memorization in Text-to-Image Diffusion Modelscited by 7
- 2024Asymptotic Unbiased Sample Sampling to Speed Up Sharpness-Aware Minimizationcited by 5
- 2024Fast Graph Sharpness-Aware Minimization for Enhancing and Accelerating Few-Shot Node Classificationcited by 4
- 2025Towards Robust Influence Functions with Flat Validation Minimacited by 4
- 2024Learning Scalable Model Soup on a Single GPU: An Efficient Subspace Training Strategycited by 3
- 2024Sharpness-diversity tradeoff: improving flat ensembles with SharpBalancecited by 3
- 2025Learning from Loss Landscape: Generalizable Mixed-Precision Quantization via Adaptive Sharpness-Aware Gradient Aligningcited by 3
- 2025Curvature Learning for Generalization of Hyperbolic Neural Networkscited by 3
- 2025Bi-LoRA: Efficient Sharpness-Aware Minimization for Fine-Tuning Large-Scale Modelscited by 3
- 2024Bilateral Sharpness-Aware Minimization for Flatter Minimacited by 2
- 2024Sharpness-Aware Black-Box Optimizationcited by 2
- 2025Architecture-Aware Minimization (A2M): How to Find Flat Minima in Neural Architecture Searchcited by 2
- 2025Towards Understanding The Calibration Benefits of Sharpness-Aware Minimizationcited by 2
- 2024Effective Gradient Sample Size via Variation Estimation for Accelerating Sharpness aware Minimizationcited by 1
- 2024Enhancing Sharpness-Aware Minimization by Learning Perturbation Radiuscited by 1
- 2025Preconditioned Sharpness-Aware Minimization: Unifying Analysis and a Novel Learning Algorithmcited by 1
- 2025Asynchronous Sharpness-Aware Minimization For Fast and Accurate Deep Learningcited by 1
- 2025VASSO: Variance Suppression for Sharpness-Aware Minimizationcited by 1
- 2026A Faster Path to Continual Learningcited by 1
- 2024SADDLe: Sharpness-Aware Decentralized Deep Learning with Heterogeneous Datacited by 0
- 2024Understanding SAM's Robustness to Noisy Labels through Gradient Down-weightingcited by 0
- 2025Sharpness-Aware Minimization Can Hallucinate Minimizerscited by 0
- 2025Adaptively Sampling-Reusing-Mixing Decomposed Gradients to Speed Up Sharpness Aware Minimizationcited by 0
- 2026Incorruptible Neural Networks: Training Models that can Generalize to Large Internal Perturbationscited by 0
- 2026Combining Adam and its Inverse Counterpart to Enhance Generalization of Deep Learning Optimizerscited by 0
- 2026Revisiting Sharpness-Aware Minimization: A More Faithful and Effective Implementationcited by 0
- 2026Gradient-Energy Guided Block-Wise Perturbations for Sharpness-Aware Minimizationcited by 0
- 2026EMASAM: a Computationally Efficient Sharpness-Aware Minimization via EMA-Guided Perturbationscited by 0
- 2026EMASAM: a Computationally Efficient Sharpness-Aware Minimization via EMA-Guided Perturbations15 Aug 2026
- 2026Gradient-Energy Guided Block-Wise Perturbations for Sharpness-Aware Minimization17 Jul 2026
- 2026A Faster Path to Continual Learning13 Apr 2026
- 2026Revisiting Sharpness-Aware Minimization: A More Faithful and Effective Implementation9 Mar 2026
- 2026Combining Adam and its Inverse Counterpart to Enhance Generalization of Deep Learning Optimizers7 Mar 2026
- 2026Incorruptible Neural Networks: Training Models that can Generalize to Large Internal Perturbations7 Feb 2026
- 2025MetaDefense: Defending Finetuning-based Jailbreak Attack Before and During Generation9 Oct 2025
- 2025Adjusting Initial Noise to Mitigate Memorization in Text-to-Image Diffusion Models8 Oct 2025
- 2025Adaptively Sampling-Reusing-Mixing Decomposed Gradients to Speed Up Sharpness Aware Minimization4 Oct 2025
- 2025Sharpness-Aware Minimization Can Hallucinate Minimizers26 Sep 2025
- 2025VASSO: Variance Suppression for Sharpness-Aware Minimization2 Sep 2025
- 2025Bi-LoRA: Efficient Sharpness-Aware Minimization for Fine-Tuning Large-Scale Models27 Aug 2025
31 more
- 2025Curvature Learning for Generalization of Hyperbolic Neural Networks24 Aug 2025
- 2025Towards Understanding The Calibration Benefits of Sharpness-Aware Minimization29 May 2025
- 2025Towards Robust Influence Functions with Flat Validation Minima25 May 2025
- 2025Learning from Loss Landscape: Generalizable Mixed-Precision Quantization via Adaptive Sharpness-Aware Gradient Aligning8 May 2025
- 2025Asynchronous Sharpness-Aware Minimization For Fast and Accurate Deep Learning14 Mar 2025
- 2025Architecture-Aware Minimization (A2M): How to Find Flat Minima in Neural Architecture Search13 Mar 2025
- 2025Towards LLM Unlearning Resilient to Relearning Attacks: A Sharpness-Aware Minimization Perspective and Beyond7 Feb 2025
- 2025Preconditioned Sharpness-Aware Minimization: Unifying Analysis and a Novel Learning Algorithm11 Jan 2025
- 2024Seeking Consistent Flat Minima for Better Domain Generalization via Refining Loss Landscapes18 Dec 2024
- 2024Understanding SAM's Robustness to Noisy Labels through Gradient Down-weighting26 Nov 2024
- 2024Fast Graph Sharpness-Aware Minimization for Enhancing and Accelerating Few-Shot Node Classification22 Oct 2024
- 2024Implicit Regularization of Sharpness-Aware Minimization for Scale-Invariant Problems18 Oct 2024
- 2024Sharpness-Aware Black-Box Optimization16 Oct 2024
- 2024SAMPa: Sharpness-aware Minimization Parallelized14 Oct 2024
- 2024Bilateral Sharpness-Aware Minimization for Flatter Minima20 Sep 2024
- 2024Enhancing Sharpness-Aware Minimization by Learning Perturbation Radius15 Aug 2024
- 2024Sharpness-diversity tradeoff: improving flat ensembles with SharpBalance17 Jul 2024
- 2024Learning Scalable Model Soup on a Single GPU: An Efficient Subspace Training Strategy4 Jul 2024
- 2024Efficient Sharpness-Aware Minimization for Molecular Graph Transformer Models19 Jun 2024
- 2024Asymptotic Unbiased Sample Sampling to Speed Up Sharpness-Aware Minimization12 Jun 2024
- 2024Domain-Inspired Sharpness-Aware Minimization Under Domain Shifts29 May 2024
- 2024SADDLe: Sharpness-Aware Decentralized Deep Learning with Heterogeneous Data22 May 2024
- 2024Revisiting Random Weight Perturbation for Efficiently Improving Generalization30 Mar 2024
- 2024Friendly Sharpness-Aware Minimization19 Mar 2024
- 2024Effective Gradient Sample Size via Variation Estimation for Accelerating Sharpness aware Minimization24 Feb 2024
- 2024Momentum-SAM: Sharpness Aware Minimization without Computational Overhead22 Jan 2024
- 2024Stabilizing Sharpness-aware Minimization Through A Simple Renormalization Strategy14 Jan 2024
- 2023CR-SAM: Curvature Regularized Sharpness-Aware Minimization21 Dec 2023
- 2023Enhancing Sharpness-Aware Optimization Through Variance Suppression27 Sep 2023
- 2023Adaptive Sharpness-Aware Pruning for Robust Sparse Networks25 Jun 2023
- 2023Practical Sharpness-Aware Minimization Cannot Converge All the Way to Optima16 Jun 2023
- 2024Friendly Sharpness-Aware Minimizationcited by 52
- 2023Enhancing Sharpness-Aware Optimization Through Variance Suppressioncited by 37
- 2023Practical Sharpness-Aware Minimization Cannot Converge All the Way to Optimacited by 20
- 2023Adaptive Sharpness-Aware Pruning for Robust Sparse Networkscited by 17
- 2024Momentum-SAM: Sharpness Aware Minimization without Computational Overheadcited by 13
- 2024Revisiting Random Weight Perturbation for Efficiently Improving Generalizationcited by 13
- 2024Domain-Inspired Sharpness-Aware Minimization Under Domain Shiftscited by 12
- 2023CR-SAM: Curvature Regularized Sharpness-Aware Minimizationcited by 10
- 2024Seeking Consistent Flat Minima for Better Domain Generalization via Refining Loss Landscapescited by 10
- 2024Implicit Regularization of Sharpness-Aware Minimization for Scale-Invariant Problemscited by 9
- 2024Stabilizing Sharpness-aware Minimization Through A Simple Renormalization Strategycited by 8
- 2024SAMPa: Sharpness-aware Minimization Parallelizedcited by 8
12 most cited of 40 All 40 (JSON)
- 2026EMASAM: a Computationally Efficient Sharpness-Aware Minimization via EMA-Guided Perturbations15 Aug 2026
- 2026Gradient-Energy Guided Block-Wise Perturbations for Sharpness-Aware Minimization17 Jul 2026
- 2026A Faster Path to Continual Learning13 Apr 2026
- 2026Revisiting Sharpness-Aware Minimization: A More Faithful and Effective Implementation9 Mar 2026
- 2026Combining Adam and its Inverse Counterpart to Enhance Generalization of Deep Learning Optimizers7 Mar 2026
- 2026Incorruptible Neural Networks: Training Models that can Generalize to Large Internal Perturbations7 Feb 2026
- 2025Adaptively Sampling-Reusing-Mixing Decomposed Gradients to Speed Up Sharpness Aware Minimization4 Oct 2025
- 2025Sharpness-Aware Minimization Can Hallucinate Minimizers26 Sep 2025
- 2025VASSO: Variance Suppression for Sharpness-Aware Minimization2 Sep 2025
- 2025Bi-LoRA: Efficient Sharpness-Aware Minimization for Fine-Tuning Large-Scale Models27 Aug 2025
- 2025Curvature Learning for Generalization of Hyperbolic Neural Networks24 Aug 2025
- 2025Towards Understanding The Calibration Benefits of Sharpness-Aware Minimization29 May 2025
12 newest of 40 All 40 (JSON)