6 citations · 6 across the 8 of their papers we have counts for
8 papers
Higher-order rich clubs and configuration models on general directed hypergraphs
Jason P. Smith, Celia Hacker, Jānis Lazovskis +3
Detecting structure in complex networks, especially those arising from physical systems, is a central problem across the sciences. One approach is via rich club analysis, which ide…
Switch Points of Bi-Persistence Matching Distance
Robyn Brooks, Celia Hacker, Claudia Landi +2
In multi-parameter persistence, the matching distance is defined as the supremum of weighted bottleneck distances on the barcodes given by the restriction of persistence modules to…
Computing the Matching Distance of 2-Parameter Persistence Modules from Critical Values
Asilata Bapat, Robyn Brooks, Celia Hacker +3
The exact computation of the matching distance for multi-parameter persistence modules is an active area of research in computational topology. Achieving an easily obtainable exact…
On the Surprising Behaviour of node2vec
Celia Hacker, Bastian Rieck
Graph embedding techniques are a staple of modern graph learning research. When using embeddings for downstream tasks such as classification, information about their stability and…
Capturing Graphs with Hypo-Elliptic Diffusions
Csaba Toth, Darrick Lee, Celia Hacker +1
Convolutional layers within graph neural networks operate by aggregating information about local neighbourhood structures; one common way to encode such substructures is through ra…
Morse Theoretic Signal Compression and Reconstruction on Chain Complexes
Stefania Ebli, Celia Hacker, Kelly Maggs
At the intersection of Topological Data Analysis (TDA) and machine learning, the field of cellular signal processing has advanced rapidly in recent years. In this context, each sig…
Morse-based Fibering of the Persistence Rank Invariant
Asilata Bapat, Robyn Brooks, Celia Hacker +2
Although there is no doubt that multi-parameter persistent homology is a useful tool to analyse multi-variate data, efficient ways to compute these modules are still lacking in the…
k-simplex2vec: a simplicial extension of node2vec
Celia Hacker
We present a novel method of associating Euclidean features to simplicial complexes, providing a way to use them as input to statistical and machine learning tools. This method ext…