Flatness-Aware Minimization for Domain Generalization
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Abstract (arXiv)
Domain generalization (DG) seeks to learn robust models that generalize well under unknown distribution shifts. As a critical aspect of DG, optimizer selection has not been explored in depth. Currently, most DG methods follow the widely used benchmark, DomainBed, and utilize Adam as the default optimizer for all datasets. However, we reveal that Adam is not necessarily the optimal choice for the majority of current DG methods and datasets. Based on the perspective of loss landscape flatness, we propose a novel approach, Flatness-Aware Minimization for Domain Generalization (FAD), which can efficiently optimize both zeroth-order and first-order flatness simultaneously for DG. We provide theoretical analyses of the FAD's out-of-distribution (OOD) generalization error and convergence. Our experimental results demonstrate the superiority of FAD on various DG datasets. Additionally, we confirm that FAD is capable of discovering flatter optima in comparison to other zeroth-order and first-order flatness-aware optimization methods.
Key facts. Cited by 27 papers in the map (data through 14 Oct 2026). Builds on 95 of its 130 references that are in the map. First posted on arXiv 20 Jul 2023.
Builds on
95 of 130 references.
References · 95
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38 more
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50 most cited of 95 All 95 (JSON)
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Citing papers per year: 2023: 1; 2024: 12; 2025: 10; 2026: 4.
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- 2024A Survey on Evaluation of Out-of-Distribution Generalizationcited by 21
- 2025Out-of-Distribution Generalization in Time Series: A Surveycited by 16
- 2024PracticalDG: Perturbation Distillation on Vision-Language Models for Hybrid Domain Generalizationcited by 15
- 2025CLIP-Powered Domain Generalization and Domain Adaptation: A Comprehensive Surveycited by 15
- 2024QT-DoG: Quantization-aware Training for Domain Generalizationcited by 13
- 2024Seeking Consistent Flat Minima for Better Domain Generalization via Refining Loss Landscapescited by 10
- 2024Unknown Domain Inconsistency Minimization for Domain Generalizationcited by 7
- 2024Asymptotic Unbiased Sample Sampling to Speed Up Sharpness-Aware Minimizationcited by 5
- 2024Improving Generalization with Flat Hilbert Bayesian Inferencecited by 5
- 2025Error Slice Discovery via Manifold Compactnesscited by 4
- 2024SETA: Semantic-Aware Token Augmentation for Domain Generalizationcited by 3
- 2024Towards Understanding the Role of Sharpness-Aware Minimization Algorithms for Out-of-Distribution Generalizationcited by 3
15 more
- 2025Promoting Ensemble Diversity with Interactive Bayesian Distributional Robustness for Fine-tuning Foundation Modelscited by 3
- 2024GAQAT: gradient-adaptive quantization-aware training for domain generalizationcited by 2
- 2024Flat Posterior Does Matter For Bayesian Model Averagingcited by 1
- 2024Meta Curvature-Aware Minimization for Domain Generalizationcited by 1
- 2025Adversarial Data Augmentation for Single Domain Generalization via Lyapunov Exponent-Guided Optimizationcited by 1
- 2025ODP-Bench: Benchmarking Out-of-Distribution Performance Predictioncited by 1
- 2026One-Step Generalization Ratio Guided Optimization for Domain Generalizationcited by 1
- 2023Seeking Flat Minima with Mean Teacher on Semi- and Weakly-Supervised Domain Generalization for Object Detectioncited by 0
- 2025Single Domain Generalization with Adversarial Memorycited by 0
- 2025DGSAM: Domain Generalization via Individual Sharpness-Aware Minimizationcited by 0
- 2025Beyond Deceptive Flatness: Dual-Order Solution for Strengthening Adversarial Transferabilitycited by 0
- 2025Generating Risky Samples with Conformity Constraints via Diffusion Modelscited by 0
- 2026Bi-Level Optimization for Single Domain Generalizationcited by 0
- 2026Understanding Dynamics of Adam in Zero-Sum Games: An ODE Approachcited by 0
- 2026Towards the Connection between Activation Sparsity and Flat Minimacited by 0
- 2026One-Step Generalization Ratio Guided Optimization for Domain Generalization15 Jun 2026
- 2026Towards the Connection between Activation Sparsity and Flat Minima25 May 2026
- 2026Understanding Dynamics of Adam in Zero-Sum Games: An ODE Approach19 May 2026
- 2026Bi-Level Optimization for Single Domain Generalization7 Apr 2026
- 2025Generating Risky Samples with Conformity Constraints via Diffusion Models21 Dec 2025
- 2025Beyond Deceptive Flatness: Dual-Order Solution for Strengthening Adversarial Transferability3 Nov 2025
- 2025ODP-Bench: Benchmarking Out-of-Distribution Performance Prediction31 Oct 2025
- 2025Adversarial Data Augmentation for Single Domain Generalization via Lyapunov Exponent-Guided Optimization6 Jul 2025
- 2025Promoting Ensemble Diversity with Interactive Bayesian Distributional Robustness for Fine-tuning Foundation Models8 Jun 2025
- 2025CLIP-Powered Domain Generalization and Domain Adaptation: A Comprehensive Survey19 Apr 2025
- 2025DGSAM: Domain Generalization via Individual Sharpness-Aware Minimization30 Mar 2025
- 2025Out-of-Distribution Generalization in Time Series: A Survey18 Mar 2025
15 more
- 2025Single Domain Generalization with Adversarial Memory8 Mar 2025
- 2025Error Slice Discovery via Manifold Compactness31 Jan 2025
- 2024Seeking Consistent Flat Minima for Better Domain Generalization via Refining Loss Landscapes18 Dec 2024
- 2024Meta Curvature-Aware Minimization for Domain Generalization16 Dec 2024
- 2024GAQAT: gradient-adaptive quantization-aware training for domain generalization7 Dec 2024
- 2024Towards Understanding the Role of Sharpness-Aware Minimization Algorithms for Out-of-Distribution Generalization6 Dec 2024
- 2024QT-DoG: Quantization-aware Training for Domain Generalization8 Oct 2024
- 2024Improving Generalization with Flat Hilbert Bayesian Inference5 Oct 2024
- 2024Flat Posterior Does Matter For Bayesian Model Averaging21 Jun 2024
- 2024Asymptotic Unbiased Sample Sampling to Speed Up Sharpness-Aware Minimization12 Jun 2024
- 2024PracticalDG: Perturbation Distillation on Vision-Language Models for Hybrid Domain Generalization13 Apr 2024
- 2024SETA: Semantic-Aware Token Augmentation for Domain Generalization18 Mar 2024
- 2024Unknown Domain Inconsistency Minimization for Domain Generalization12 Mar 2024
- 2024A Survey on Evaluation of Out-of-Distribution Generalization4 Mar 2024
- 2023Seeking Flat Minima with Mean Teacher on Semi- and Weakly-Supervised Domain Generalization for Object Detection30 Oct 2023
- 2024A Survey on Evaluation of Out-of-Distribution Generalizationcited by 21
- 2025Out-of-Distribution Generalization in Time Series: A Surveycited by 16
- 2025CLIP-Powered Domain Generalization and Domain Adaptation: A Comprehensive Surveycited by 15
- 2024QT-DoG: Quantization-aware Training for Domain Generalizationcited by 13
- 2024Seeking Consistent Flat Minima for Better Domain Generalization via Refining Loss Landscapescited by 10
- 2024Unknown Domain Inconsistency Minimization for Domain Generalizationcited by 7
- 2024Asymptotic Unbiased Sample Sampling to Speed Up Sharpness-Aware Minimizationcited by 5
- 2024Improving Generalization with Flat Hilbert Bayesian Inferencecited by 5
- 2025Error Slice Discovery via Manifold Compactnesscited by 4
- 2024SETA: Semantic-Aware Token Augmentation for Domain Generalizationcited by 3
- 2024Towards Understanding the Role of Sharpness-Aware Minimization Algorithms for Out-of-Distribution Generalizationcited by 3
- 2025Promoting Ensemble Diversity with Interactive Bayesian Distributional Robustness for Fine-tuning Foundation Modelscited by 3
12 most cited of 25 All 25 (JSON)
- 2026One-Step Generalization Ratio Guided Optimization for Domain Generalization15 Jun 2026
- 2026Towards the Connection between Activation Sparsity and Flat Minima25 May 2026
- 2026Understanding Dynamics of Adam in Zero-Sum Games: An ODE Approach19 May 2026
- 2026Bi-Level Optimization for Single Domain Generalization7 Apr 2026
- 2025Beyond Deceptive Flatness: Dual-Order Solution for Strengthening Adversarial Transferability3 Nov 2025
- 2025ODP-Bench: Benchmarking Out-of-Distribution Performance Prediction31 Oct 2025
- 2025Adversarial Data Augmentation for Single Domain Generalization via Lyapunov Exponent-Guided Optimization6 Jul 2025
- 2025Promoting Ensemble Diversity with Interactive Bayesian Distributional Robustness for Fine-tuning Foundation Models8 Jun 2025
- 2025CLIP-Powered Domain Generalization and Domain Adaptation: A Comprehensive Survey19 Apr 2025
- 2025DGSAM: Domain Generalization via Individual Sharpness-Aware Minimization30 Mar 2025
- 2025Out-of-Distribution Generalization in Time Series: A Survey18 Mar 2025
- 2025Single Domain Generalization with Adversarial Memory8 Mar 2025
12 newest of 25 All 25 (JSON)