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Interferometric Graph Transform for Community Labeling

Nathan Grinsztajn 1 Louis Leconte 2, 3 Philippe Preux 1 Edouard Oyallon 2
1 Scool - Scool
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : We present a new approach for learning unsupervised node representations in community graphs. We significantly extend the Interferometric Graph Transform (IGT) to community labeling: this non-linear operator iteratively extracts features that take advantage of the graph topology through demodulation operations. An unsupervised feature extraction step cascades modulus non-linearity with linear operators that aim at building relevant invariants for community labeling. Via a simplified model, we show that the IGT concentrates around the E-IGT: those two representations are related through some ergodicity properties. Experiments on community labeling tasks show that this unsupervised representation achieves performances at the level of the state of the art on the standard and challenging datasets Cora, Citeseer, Pubmed and WikiCS.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03247781
Contributor : Edouard Oyallon <>
Submitted on : Friday, June 4, 2021 - 12:40:37 PM
Last modification on : Monday, June 14, 2021 - 10:41:19 AM

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  • HAL Id : hal-03247781, version 1
  • ARXIV : 2106.05875

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Nathan Grinsztajn, Louis Leconte, Philippe Preux, Edouard Oyallon. Interferometric Graph Transform for Community Labeling. 2021. ⟨hal-03247781⟩

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