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06/09/2023
Intensity Profile Projection: A Framework for Continuous-Time Representation Learning for Dynamic Networks
We present a new algorithmic framework, Intensity Profile Projection, fo...
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05/24/2023
Hierarchical clustering with dot products recovers hidden tree structure
In this paper we offer a new perspective on the well established agglome...
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10/27/2022
Implications of sparsity and high triangle density for graph representation learning
Recent work has shown that sparse graphs containing many triangles canno...
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08/24/2022
Discovering latent topology and geometry in data: a law of large dimension
Complex topological and geometric patterns often appear embedded in high...
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02/08/2022
Spectral embedding and the latent geometry of multipartite networks
Spectral embedding finds vector representations of the nodes of a networ...
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06/02/2021
Spectral embedding for dynamic networks with stability guarantees
We consider the problem of embedding a dynamic network, to obtain time-e...
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06/02/2021
Matrix factorisation and the interpretation of geodesic distance
Given a graph or similarity matrix, we consider the problem of recoverin...
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05/03/2021
Spectral clustering under degree heterogeneity: a case for the random walk Laplacian
This paper shows that graph spectral embedding using the random walk Lap...
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11/09/2020
Spectral clustering on spherical coordinates under the degree-corrected stochastic blockmodel
Spectral clustering is a popular method for community detection in netwo...
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07/20/2020
The multilayer random dot product graph
We present an extension of the latent position network model known as th...
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06/09/2020
Manifold structure in graph embeddings
Statistical analysis of a graph often starts with embedding, the process...
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12/21/2019
Persistent Homology of Graph Embeddings
Popular network models such as the mixed membership and standard stochas...
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10/12/2019
Spectral clustering in the weighted stochastic block model
This paper is concerned with the statistical analysis of a real-valued s...
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09/16/2017