CVLGAug 7, 2025

SPA++: Generalized Graph Spectral Alignment for Versatile Domain Adaptation

arXiv:2508.05182v22 citationsh-index: 17
Originality Incremental advance
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This work addresses domain adaptation for machine learning applications where labeled data is scarce in target domains, offering an incremental improvement by integrating graph-based structures and spectral techniques.

The paper tackles the tradeoff between inter-domain transferability and intra-domain discriminability in domain adaptation by proposing SPA++, a generalized graph spectral alignment framework that incorporates spectral regularization and neighbor-aware propagation. It demonstrates superior performance over existing methods on benchmark datasets, achieving robust adaptability across various challenging scenarios.

Domain Adaptation (DA) aims to transfer knowledge from a labeled source domain to an unlabeled or sparsely labeled target domain under domain shifts. Most prior works focus on capturing the inter-domain transferability but largely overlook rich intra-domain structures, which empirically results in even worse discriminability. To tackle this tradeoff, we propose a generalized graph SPectral Alignment framework, SPA++. Its core is briefly condensed as follows: (1)-by casting the DA problem to graph primitives, it composes a coarse graph alignment mechanism with a novel spectral regularizer toward aligning the domain graphs in eigenspaces; (2)-we further develop a fine-grained neighbor-aware propagation mechanism for enhanced discriminability in the target domain; (3)-by incorporating data augmentation and consistency regularization, SPA++ can adapt to complex scenarios including most DA settings and even challenging distribution scenarios. Furthermore, we also provide theoretical analysis to support our method, including the generalization bound of graph-based DA and the role of spectral alignment and smoothing consistency. Extensive experiments on benchmark datasets demonstrate that SPA++ consistently outperforms existing cutting-edge methods, achieving superior robustness and adaptability across various challenging adaptation scenarios.

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