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SWAD: Domain Generalization by Seeking Flat Minima (2102.08604v4)

Published 17 Feb 2021 in cs.LG and cs.CV

Abstract: Domain generalization (DG) methods aim to achieve generalizability to an unseen target domain by using only training data from the source domains. Although a variety of DG methods have been proposed, a recent study shows that under a fair evaluation protocol, called DomainBed, the simple empirical risk minimization (ERM) approach works comparable to or even outperforms previous methods. Unfortunately, simply solving ERM on a complex, non-convex loss function can easily lead to sub-optimal generalizability by seeking sharp minima. In this paper, we theoretically show that finding flat minima results in a smaller domain generalization gap. We also propose a simple yet effective method, named Stochastic Weight Averaging Densely (SWAD), to find flat minima. SWAD finds flatter minima and suffers less from overfitting than does the vanilla SWA by a dense and overfit-aware stochastic weight sampling strategy. SWAD shows state-of-the-art performances on five DG benchmarks, namely PACS, VLCS, OfficeHome, TerraIncognita, and DomainNet, with consistent and large margins of +1.6% averagely on out-of-domain accuracy. We also compare SWAD with conventional generalization methods, such as data augmentation and consistency regularization methods, to verify that the remarkable performance improvements are originated from by seeking flat minima, not from better in-domain generalizability. Last but not least, SWAD is readily adaptable to existing DG methods without modification; the combination of SWAD and an existing DG method further improves DG performances. Source code is available at https://github.com/khanrc/swad.

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Authors (7)
  1. Junbum Cha (10 papers)
  2. Sanghyuk Chun (49 papers)
  3. Kyungjae Lee (37 papers)
  4. Han-Cheol Cho (7 papers)
  5. Seunghyun Park (26 papers)
  6. Yunsung Lee (12 papers)
  7. Sungrae Park (17 papers)
Citations (369)

Summary

Analyzing SWAD: Domain Generalization by Seeking Flat Minima

The paper "SWAD: Domain Generalization by Seeking Flat Minima" explores the domain of Domain Generalization (DG) methods with the theoretical stance that seeking flatter minima can mitigate generalization gaps in unseen domains. This is underpinned by the assertion that traditional methods, often relying predominantly on Empirical Risk Minimization (ERM), are prone to sub-optimal solutions, especially in non-i.i.d. conditions prevalent in real-world data scenarios.

The Core Proposition

The main contribution of this paper is the introduction of SWAD (Stochastic Weight Averaging Densely), a modified strategy derived from Stochastic Weight Averaging (SWA). SWAD is designed to enable models to locate flatter minima, thereby inherently possessing robustness to distribution shifts between training and test data. This is achieved through a dense stochastic weight sampling approach and an adaptive selection of weight sampling, which reduces the adverse effects of overfitting observed in vanilla SWA methods.

Theoretical and Empirical Validation

In theoretical analysis, the authors draw from robust risk minimization frameworks, suggesting that flatter loss landscapes are indicative of better generalized models. The theoretical proofs suggest that there is a tangible and quantifiable connection between flat minima and minimized generalization gaps in machine learning models, emphasizing the role of RRM solutions in approximating these desired optima.

The empirical gains of SWAD are evidenced across five benchmark datasets: PACS, VLCS, OfficeHome, TerraIncognita, and DomainNet. Table 1 in the paper indicates that SWAD achieves superior results over existing state-of-the-art methods, asserting a mean improvement of 1.6 percentage points across these benchmarks. The results are crucial as they both validate SWAD’s efficacy and call into question the over-reliance on domain-specific methods that ignore the innate advantages of flat minima in generalization tasks.

Practical Implications

From a practical perspective, this research posits that SWAD is universally adaptable, meaning it can potentially be integrated with existing DG algorithms without extensive modification to the underlying models. This adaptability offers significant implications for practitioners aiming to achieve domain-agnostic solutions without the need for laborious alterations to model architectures or training objectives.

Limitations and Future Directions

The current findings elucidate SWAD’s contribution to enhancing DG tasks by emphasizing the importance of flatness in model training. However, it seems that SWAD does not fully leverage domain-specific knowledge, which could further minimize domain discrepancies. The paper indicates potential for future research that could merge domain-specific adaptivity with the robustness of flatter minima to further enhance generalization across unseen domains.

Moreover, while the focus on flat minima is theoretically sound, the reliance on empirical estimations might not fully encapsulate the complexity of dynamic real-world scenarios. Expanding the scope of SWAD to incorporate insights from domain shifts explicitly could push the boundaries of current DG methodologies.

Conclusion

The research by Cha et al. extends the boundaries of domain generalization by positing flat minima as fundamental to improved model robustness across variable domains. It provides a comprehensive theoretical and empirical basis for integrating SWAD into DG practices. The paper opens avenues for further inquiry into the symbiotic potential of domain-specific strategies married with the stability of flat minima, promising a rich field of exploration both in academia and industry applications in AI.

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