Wasserstein-Based Graph Alignment Article Swipe
Hermina Petric Maretić
,
Mireille El Gheche
,
Matthias Minder
,
Giovanni Chierchia
,
Pascal Frossard
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1109/tsipn.2022.3169632
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1109/tsipn.2022.3169632
We propose a novel method for comparing non-aligned graphs of different\nsizes, based on the Wasserstein distance between graph signal distributions\ninduced by the respective graph Laplacian matrices. Specifically, we cast a new\nformulation for the one-to-many graph alignment problem, which aims at matching\na node in the smaller graph with one or more nodes in the larger graph. By\nintegrating optimal transport in our graph comparison framework, we generate\nboth a structurally-meaningful graph distance, and a signal transportation plan\nthat models the structure of graph data. The resulting alignment problem is\nsolved with stochastic gradient descent, where we use a novel Dykstra operator\nto ensure that the solution is a one-to-many (soft) assignment matrix. We\ndemonstrate the performance of our novel framework on graph alignment and graph\nclassification, and we show that our method leads to significant improvements\nwith respect to the state-of-the-art algorithms for each of these tasks.\n
Related Topics
Concepts
Voltage graph
Butterfly graph
Null graph
Graph
Line graph
Strength of a graph
Computer science
Complement graph
Laplacian matrix
Random geometric graph
Algorithm
Mathematics
Theoretical computer science
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1109/tsipn.2022.3169632
- OA Status
- green
- Cited By
- 14
- References
- 84
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3011991560
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3011991560Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1109/tsipn.2022.3169632Digital Object Identifier
- Title
-
Wasserstein-Based Graph AlignmentWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-01-01Full publication date if available
- Authors
-
Hermina Petric Maretić, Mireille El Gheche, Matthias Minder, Giovanni Chierchia, Pascal FrossardList of authors in order
- Landing page
-
https://doi.org/10.1109/tsipn.2022.3169632Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2003.06048Direct OA link when available
- Concepts
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Voltage graph, Butterfly graph, Null graph, Graph, Line graph, Strength of a graph, Computer science, Complement graph, Laplacian matrix, Random geometric graph, Algorithm, Mathematics, Theoretical computer scienceTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
14Total citation count in OpenAlex
- Citations by year (recent)
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2024: 4, 2023: 2, 2022: 1, 2021: 5, 2020: 2Per-year citation counts (last 5 years)
- References (count)
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84Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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