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Through the introduction of a diffusion-convolution\noperation, we show how diffusion-based representations can be learned from\ngraph-structured data and used as an effective basis for node classification.\nDCNNs have several attractive qualities, including a latent representation for\ngraphical data that is invariant under isomorphism, as well as polynomial-time\nprediction and learning that can be represented as tensor operations and\nefficiently implemented on the GPU. 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