Embedding Signals on Graphs with Unbalanced Diffusion Earth Mover’s Distance Article Swipe
Alexander Tong
,
Guillaume Huguet
,
Dennis Shung
,
Amine Natik
,
Manik Kuchroo
,
Guillaume Lajoie
,
Guy Wolf
,
Smita Krishnaswamy
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1109/icassp43922.2022.9746556
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1109/icassp43922.2022.9746556
In modern relational machine learning it is common to encounter large graphs that arise via interactions or similarities between observations in many domains. Further, in many cases the target entities for analysis are actually signals on such graphs. We propose to compare and organize such datasets of graph signals by using an earth mover’s distance (EMD) with a geodesic cost over the underlying graph. Typically, EMD is computed by optimizing over the cost of transporting one probability distribution to another over an underlying metric space. However, this is inefficient when computing the EMD between many signals. Here, we propose an unbalanced graph EMD that efficiently embeds the unbalanced EMD on an underlying graph into an L(1) space, whose metric we call unbalanced diffusion earth mover’s distance (UDEMD). Next, we show how this gives distances between graph signals that are robust to noise. Finally, we apply this to organizing patients based on clinical notes, embedding cells modeled as signals on a gene graph, and organizing genes modeled as signals over a large cell graph. In each case, we show that UDEMD-based embeddings find accurate distances that are highly efficient compared to other methods.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1109/icassp43922.2022.9746556
- OA Status
- green
- Cited By
- 7
- References
- 38
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4225277649
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4225277649Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1109/icassp43922.2022.9746556Digital Object Identifier
- Title
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Embedding Signals on Graphs with Unbalanced Diffusion Earth Mover’s DistanceWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
-
2022-04-27Full publication date if available
- Authors
-
Alexander Tong, Guillaume Huguet, Dennis Shung, Amine Natik, Manik Kuchroo, Guillaume Lajoie, Guy Wolf, Smita KrishnaswamyList of authors in order
- Landing page
-
https://doi.org/10.1109/icassp43922.2022.9746556Publisher 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://www.ncbi.nlm.nih.gov/pmc/articles/9828741Direct OA link when available
- Concepts
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Earth mover's distance, Embedding, Computer science, Geodesic, Graph embedding, Graph, Theoretical computer science, Probability distribution, Metric space, Algorithm, Artificial intelligence, Mathematics, Discrete mathematics, Mathematical analysis, StatisticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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7Total citation count in OpenAlex
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2025: 1, 2024: 2, 2023: 2, 2022: 2Per-year citation counts (last 5 years)
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38Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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