Curado, Manuel, Lozano, Miguel A., Escolano, Francisco et al. (1 more author) (2019) Dirichlet Densifier Bounds:Densifying Beyond the Spectral Gap Constraint. Pattern Recognition Letters. pp. 425-431. ISSN 0167-8655
Abstract
In this paper, we characterize the universal bounds of our recently reported Dirichlet Densifier. In particular we aim to study the impact of densification on the bounding of intra-class node similarities. To this end we derive a new bound for commute time estimation. This bound does not rely on the spectral gap, but on graph densification (or graph rewiring). Firstly, we explain how our densifier works and we motivate the bound by showing that implicitly constraining the spectral gap through graph densification cannot fully explain the cluster structure in real-world datasets. Then, we pose our hypothesis about densification: a graph densifier can only deal with a moderate degradation of the spectral gap if the inter-cluster commute distances are significantly shrunk. This points to a more detailed bound which explicitly accounts for the shrinking effect of densification. Finally, we formally develop this bound, thus revealing the deeper implications of graph densification in commute time estimation.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Elsevier, 2019. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. |
Keywords: | Commute times,Graph densification,Spectral graph theory |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Computer Science (York) |
Depositing User: | Pure (York) |
Date Deposited: | 05 Jun 2019 09:40 |
Last Modified: | 03 Jan 2025 00:13 |
Published Version: | https://doi.org/10.1016/j.patrec.2019.06.001 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1016/j.patrec.2019.06.001 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:146970 |
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