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Hierarchical clustering with dot products recovers hidden tree structure


May 24, 2023
Annie Gray, Alexander Modell, Patrick Rubin-Delanchy, Nick Whiteley

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Implications of sparsity and high triangle density for graph representation learning


Oct 27, 2022
Hannah Sansford, Alexander Modell, Nick Whiteley, Patrick Rubin-Delanchy

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Spectral embedding and the latent geometry of multipartite networks


Feb 08, 2022
Alexander Modell, Ian Gallagher, Joshua Cape, Patrick Rubin-Delanchy

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* 12 pages, 3 figures 

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Spectral embedding for dynamic networks with stability guarantees


Jun 02, 2021
Ian Gallagher, Andrew Jones, Patrick Rubin-Delanchy

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* 16 pages, 4 figures 

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Matrix factorisation and the interpretation of geodesic distance


Jun 02, 2021
Nick Whiteley, Annie Gray, Patrick Rubin-Delanchy

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* 28 pages; 13 figures 

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Spectral clustering under degree heterogeneity: a case for the random walk Laplacian


May 04, 2021
Alexander Modell, Patrick Rubin-Delanchy

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* 22 pages, 10 figures 

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Spectral clustering on spherical coordinates under the degree-corrected stochastic blockmodel


Nov 09, 2020
Francesco Sanna Passino, Nicholas A. Heard, Patrick Rubin-Delanchy

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The multilayer random dot product graph


Jul 20, 2020
Andrew Jones, Patrick Rubin-Delanchy

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* 53 pages, 12 figures 

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Manifold structure in graph embeddings


Jun 09, 2020
Patrick Rubin-Delanchy

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Spectral clustering in the weighted stochastic block model


Oct 12, 2019
Ian Gallagher, Anna Bertiger, Carey Priebe, Patrick Rubin-Delanchy

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* 11 pages, 4 figures 

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