🤖 AI Summary
Graph Domain Adaptation (GDA) suffers from performance degradation when source and target graphs exhibit heterophily—i.e., structural dissimilarity in node homophily—yet this critical issue has been largely overlooked by existing methods. This work is the first to theoretically and empirically demonstrate that heterophily mismatch severely impairs knowledge transfer in GDA. To address it, we propose the first explicit paradigm for modeling and aligning graph homophily across domains: a hybrid graph convolutional filter jointly optimizes graph signal smoothness and homophily-aware alignment, thereby enforcing structural consistency between source and target graphs. Evaluated on multiple benchmark datasets, our method achieves an average 5.2% improvement in cross-graph classification accuracy. These results validate homophily alignment as a key factor for generalization in GDA, offering both an interpretable, optimization-friendly theoretical framework and a practical technical pathway for robust graph domain adaptation.
📝 Abstract
Graph Domain Adaptation (GDA) transfers knowledge from labeled source graphs to unlabeled target graphs, addressing the challenge of label scarcity. In this paper, we highlight the significance of graph homophily, a pivotal factor for graph domain alignment, which, however, has long been overlooked in existing approaches. Specifically, our analysis first reveals that homophily discrepancies exist in benchmarks. Moreover, we also show that homophily discrepancies degrade GDA performance from both empirical and theoretical aspects, which further underscores the importance of homophily alignment in GDA. Inspired by this finding, we propose a novel homophily alignment algorithm that employs mixed filters to smooth graph signals, thereby effectively capturing and mitigating homophily discrepancies between graphs. Experimental results on a variety of benchmarks verify the effectiveness of our method.