6 июл. 2021 г. · We extend this geometry to a hypersphere and prove that maximizing modularity is equivalent to minimizing the angular distance to some modularity vector.

Our main result is that in terms of this geometry, maximizing modularity is equivalent to minimizing the angular distance to some point on the hypersphere that ...

6 мар. 2024 г. · We extend this geometry to a hypersphere and prove that maximizing modularity is equivalent to minimizing the angular distance to some ...

11 сент. 2024 г. · We extend this geometry to a hypersphere and prove that maximizing modularity is equivalent to minimizing the angular distance to some ...

Abstract. We introduce a metric space of clusterings, where clusterings are described by a binary vector indexed by the vertex-pairs.

19 февр. 2022 г. · The Hyperspherical Geometry of Community. Detection: Modularity as a Distance. arXiv, 2107.02645, 1-29. https://doi.org/10.48550/arXiv ...

This repository contains the code to run the experiments of the papers "The Hyperspherical Geometry of Community Detection: Modularity as a Distance" and ...

The Hyperspherical Geometry of Community Detection: Modularity as a Distance. MM Gösgens, RW van der Hofstad, NV Litvak. arXiv 2107, 1-29, 2022. 2022.

In summary, the hyperspherical geometry comes with three key measures: firstly, the angular distance da (q(A), b(C)) is the quality measure that we minimize in ...

We present the class of projection methods for community detection that generalizes many popular community detection methods.