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A Generalization of Convolutional Neural Networks to Graph-Structured Data

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abstract

This paper introduces a generalization of Convolutional Neural Networks (CNNs) from low-dimensional grid data, such as images, to graph-structured data. We propose a novel spatial convolution utilizing a random walk to uncover the relations within the input, analogous to the way the standard convolution uses the spatial neighborhood of a pixel on the grid. The convolution has an intuitive interpretation, is efficient and scalable and can also be used on data with varying graph structure. Furthermore, this generalization can be applied to many standard regression or classification problems, by learning the the underlying graph. We empirically demonstrate the performance of the proposed CNN on MNIST, and challenge the state-of-the-art on Merck molecular activity data set.

fields

cs.LG 1

years

2025 1

verdicts

CONDITIONAL 1

representative citing papers

Graph Neural Networks in Wind Power Forecasting

cs.LG · 2025-06-30 · conditional · novelty 5.0

A message-passing GNN matches a CNN baseline for 24 to 36 hour ahead wind power forecasts across three wind farms, with small MAE differences in both directions.

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  • Graph Neural Networks in Wind Power Forecasting cs.LG · 2025-06-30 · conditional · none · ref 7 · internal anchor

    A message-passing GNN matches a CNN baseline for 24 to 36 hour ahead wind power forecasts across three wind farms, with small MAE differences in both directions.