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Anonymous Walk Embeddings

About

The task of representing entire graphs has seen a surge of prominent results, mainly due to learning convolutional neural networks (CNNs) on graph-structured data. While CNNs demonstrate state-of-the-art performance in graph classification task, such methods are supervised and therefore steer away from the original problem of network representation in task-agnostic manner. Here, we coherently propose an approach for embedding entire graphs and show that our feature representations with SVM classifier increase classification accuracy of CNN algorithms and traditional graph kernels. For this we describe a recently discovered graph object, anonymous walk, on which we design task-independent algorithms for learning graph representations in explicit and distributed way. Overall, our work represents a new scalable unsupervised learning of state-of-the-art representations of entire graphs.

Sergey Ivanov, Evgeny Burnaev• 2018

Related benchmarks

TaskDatasetResultRank
Graph ClassificationMUTAG
Accuracy87.87
862
Graph ClassificationCOLLAB
Accuracy73.93
422
Graph ClassificationIMDB-B
Accuracy74.45
378
Graph ClassificationENZYMES
Accuracy35.77
318
Graph ClassificationIMDB-M
Accuracy51.58
275
Graph ClassificationDD
Accuracy71.51
273
Graph ClassificationMUTAG (10-fold cross-validation)
Accuracy87.87
219
Graph ClassificationMutag (test)
Accuracy87.9
217
Graph ClassificationPROTEINS (test)
Accuracy71.51
180
Graph ClassificationIMDB-B (10-fold cross-validation)
Accuracy74.45
148
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