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Stability of Graph Scattering Transforms

NeurIPS 2019 · Graph learning › GNN architectures · approach: Spectral GNN design · 38 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use GST instead of GFT for graph representationGraph signals on a 100-node small-world graph · Small-world synthetic representation stabilityrelative representation error: up to 3 orders of magnitude less relative representation errorHelped
Use GST instead of GFTJane Austen authorship attribution · Authorship attributionclassification accuracyNo clear effect
Use GST instead of GFTJane Austen authorship attribution · Authorship attribution under graph-estimation uncertaintyclassification accuracy variabilityHelped
Use Tight Hann GST instead of GFTGraph source localization · Facebook 234-node subnetworkclassification accuracyHelped
Use Diffusion scattering instead of GFTGraph source localization · Facebook 234-node subnetworkclassification accuracyHelped
Use Monic Cubic GST instead of GFTGraph source localization · Facebook 234-node subnetworkclassification accuracyNo clear effect
Use GST instead of GFTGraph source localization · Facebook 234-node subnetwork under edge droppingclassification accuracy variabilityMixed
Use Tight Hann wavelets rather than Monic Cubic waveletsGST · Small-world synthetic representation stabilityrelative representation errorHelped
Use GST instead of GFTGraph representations under controlled graph perturbations · Small-world synthetic representation stabilityrelative representation error: up to 3 orders of magnitude less relative representation errorHelped

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