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Through the Dual-Prism: A Spectral Perspective on Graph Data Augmentation for Graph Classification

18 Jan 2024arXiv:2401.09953archive 2025-07-28

Yutong Xia, Runpeng Yu, Yuxuan Liang, Xavier Bresson, Xinchao Wang, Roger Zimmermann

Graph Neural Networks have become the preferred tool to process graph data, with their efficacy being boosted through graph data augmentation techniques. Despite the evolution of augmentation methods, issues like graph property distortions and restricted structural changes persist. This leads to the question: Is it possible to develop more property-conserving and structure-sensitive augmentation methods? Through a spectral lens, we investigate the interplay between graph properties, their augmentation, and their spectral behavior, and observe that keeping the low-frequency eigenvalues unchanged can preserve the critical properties at a large scale when generating augmented graphs. These observations inform our introduction of the Dual-Prism (DP) augmentation methods, including DP-Noise and DP-Mask, which retain essential graph properties while diversifying augmented graphs. Extensive experiments validate the efficiency of our approach, providing a new and promising direction for graph data augmentation.

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add_noise yu-rp/dualprism/src/aug.py official repository ran fingerprinted no licence file found · pointer only · ae4f1bded5dc4c34 · report
generate_threshold_vector yu-rp/dualprism/src/aug.py official repository ran no licence file found · pointer only · a61699b46d3d13d8 · report
graph_numpy2tensor yu-rp/dualprism/src/utils.py official repository ran no licence file found · pointer only · 0b1f01b346d86095 · report
prepare_dataset yu-rp/dualprism/src/utils.py official repository ran no licence file found · pointer only · cbf4d0892481c707 · report
prepare_synthetic_dataset yu-rp/dualprism/src/utils.py official repository ran no licence file found · pointer only · 7a73d187862ecb75 · report
triplet_loss yu-rp/dualprism/DIG/dig/auggraph/method/DualPrism/utils/utils.py official repository ran no licence file found · pointer only · c6e56bc4d0f6bab6 · report
approximate_hamming_similarity yu-rp/dualprism/DIG/dig/auggraph/method/DualPrism/utils/utils.py official repository unverified no licence file found · pointer only · 95afc6f0962b5c2a · report
euclidean_distance yu-rp/dualprism/DIG/dig/auggraph/method/DualPrism/utils/utils.py official repository unverified no licence file found · pointer only · 69e7dcdc10127913 · report
spectral_noise yu-rp/dualprism/src/aug.py official repository unverified no licence file found · pointer only · 983c6560bfc8086d · report
spectral_noise yu-rp/dualprism/DIG/dig/auggraph/method/DualPrism/utils/augmentation.py official repository unverified no licence file found · pointer only · 34cc38b600742cf0 · report

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