2022
DOI: 10.48550/arxiv.2202.07179
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G-Mixup: Graph Data Augmentation for Graph Classification

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Cited by 4 publications
(5 citation statements)
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“…Graphon has been studied intensively as a mathematical object (Borgs et al 2008(Borgs et al , 2012Lovász and Szegedy 2006;Lovász 2012) and been applied broadly, like graph signal processing Ribeiro 2020b, 2021), game theory (Parise and Ozdaglar 2019), network science (Avella-Medina et al 2018;Vizuete, Garin, and Frasca 2021). Moreover, G-mixup (Han et al 2022) is proposed to conduct data augmentation for graph classification since a graphon can serve as a graph generator. From the another perspective of being the graph limit, (Ruiz, Chamon, and Ribeiro 2020a) leverage graphon to analyse the transferability of GNNs.…”
Section: Related Workmentioning
confidence: 99%
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“…Graphon has been studied intensively as a mathematical object (Borgs et al 2008(Borgs et al , 2012Lovász and Szegedy 2006;Lovász 2012) and been applied broadly, like graph signal processing Ribeiro 2020b, 2021), game theory (Parise and Ozdaglar 2019), network science (Avella-Medina et al 2018;Vizuete, Garin, and Frasca 2021). Moreover, G-mixup (Han et al 2022) is proposed to conduct data augmentation for graph classification since a graphon can serve as a graph generator. From the another perspective of being the graph limit, (Ruiz, Chamon, and Ribeiro 2020a) leverage graphon to analyse the transferability of GNNs.…”
Section: Related Workmentioning
confidence: 99%
“…(1) where Ber(•) is the Bernoulli distribution. Since there is no available closed-form expression of graphon, existing works mainly employ a two-dimensional step function, which can be seen as a matrix, to represent a graphon (Xu et al 2021;Han et al 2022). In fact, the weak regularity lemma of graphon (Lovász 2012) indicates that an arbitrary graphon can be approximated well by a two-dimensional step function.…”
Section: Introductionmentioning
confidence: 99%
“…Mixup-Graph (Wang et al 2021) leverages a simple way to avoid dealing with the arbitrary structure in the input space for mixing a graph pair, through mixing the graph representation resulting from passing the graph through the GNNs. Similarly, a concurrent work G-Mixup (Han et al 2022) first interpolates represented graph generators (i.e., graphons) of different classes, and then leverages the mixed graphons for sampling to generate synthetic graphs.…”
Section: Related Workmentioning
confidence: 99%
“…To achieve this manner for graphs, one work [46] modifies graph convolution to mix the graph parts within the receptive field. Another work [12] proposes to learn a graph generator to align the pair of graphs and interpolate the generated counterparts. However, these methods require extra deep modules to learn, making the generated graphs hard to interpret.…”
Section: Mix-up On Graphsmentioning
confidence: 99%