Search Results for author: Benoit Gaüzère

Found 7 papers, 3 papers with code

Maximal Independent Sets for Pooling in Graph Neural Networks

no code implementations24 Jul 2023 Stevan Stanovic, Benoit Gaüzère, Luc Brun

Convolutional Neural Networks (CNNs) have enabled major advances in image classification through convolution and pooling.

Image Classification

Maximal Independent Vertex Set applied to Graph Pooling

no code implementations2 Aug 2022 Stevan Stanovic, Benoit Gaüzère, Luc Brun

Consequently, our method does not discard any vertex information nor artificially increase the density of the graph.

Graph Classification Image Classification

A new Sinkhorn algorithm with Deletion and Insertion operations

no code implementations29 Nov 2021 Luc Brun, Benoit Gaüzère, Sébastien Bougleux, Florian Yger

Conversely, the remaining elements of V2 correspond to the image of the epsilon pseudo element of V1.

Breaking the Limits of Message Passing Graph Neural Networks

2 code implementations8 Jun 2021 Muhammet Balcilar, Pierre Héroux, Benoit Gaüzère, Pascal Vasseur, Sébastien Adam, Paul Honeine

Since the Message Passing (Graph) Neural Networks (MPNNs) have a linear complexity with respect to the number of nodes when applied to sparse graphs, they have been widely implemented and still raise a lot of interest even though their theoretical expressive power is limited to the first order Weisfeiler-Lehman test (1-WL).

Analyzing the Expressive Power of Graph Neural Networks in a Spectral Perspective

1 code implementation ICLR 2021 Muhammet Balcilar, Guillaume Renton, Pierre Héroux, Benoit Gaüzère, Sébastien Adam, Paul Honeine

Since the graph isomorphism problem is NP-intermediate, and Weisfeiler-Lehman (WL) test can give sufficient but not enough evidence in polynomial time, the theoretical power of GNNs is usually evaluated by the equivalence of WL-test order, followed by an empirical analysis of the models on some reference inductive and transductive datasets.

Generalized Median Graph via Iterative Alternate Minimizations

no code implementations26 Jun 2019 Nicolas Boria, S'ebastien Bougleux, Benoit Gaüzère, Luc Brun

Computing a graph prototype may constitute a core element for clustering or classification tasks.

Clustering

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