4 papers
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…