Search Results for author: Alexander Modell

Found 5 papers, 2 papers with code

Hierarchical clustering with dot products recovers hidden tree structure

1 code implementation NeurIPS 2023 Annie Gray, Alexander Modell, Patrick Rubin-Delanchy, Nick Whiteley

In this paper we offer a new perspective on the well established agglomerative clustering algorithm, focusing on recovery of hierarchical structure.

Clustering

Implications of sparsity and high triangle density for graph representation learning

no code implementations27 Oct 2022 Hannah Sansford, Alexander Modell, Nick Whiteley, Patrick Rubin-Delanchy

Recent work has shown that sparse graphs containing many triangles cannot be reproduced using a finite-dimensional representation of the nodes, in which link probabilities are inner products.

Graph Representation Learning Vocal Bursts Intensity Prediction

Spectral embedding and the latent geometry of multipartite networks

1 code implementation8 Feb 2022 Alexander Modell, Ian Gallagher, Joshua Cape, Patrick Rubin-Delanchy

Spectral embedding finds vector representations of the nodes of a network, based on the eigenvectors of its adjacency or Laplacian matrix, and has found applications throughout the sciences.

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

no code implementations3 May 2021 Alexander Modell, Patrick Rubin-Delanchy

This paper shows that graph spectral embedding using the random walk Laplacian produces vector representations which are completely corrected for node degree.

Clustering Stochastic Block Model

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