From the 1 of 5 linked papers with an AI index.
5 papers
Learning the Graphical Nature of Symmetries
Rashid Barket, Enrico Grimaldi, Yacoub Hendi +3
The paper creates a large dataset of Cayley graphs for finite groups, analyzes their structural and spectral properties, and evaluates how well graph statistics and graph neural ne…
Quantifying the homology of periodic cell complexes
Adam Onus, Vanessa Robins
A periodic cell complex, , has a finite representation as the quotient space, , consisting of equivalence classes of cells identified under the translation group acting on…
Computing 1-Periodic Persistent Homology with Finite Windows
Adam Onus, Primoz Skraba
Let be a periodic cell complex endowed with a covering where is a finite quotient space of equivalence classes under translations acting on . We assume is…
Persistent Local Systems of Periodic Spaces
Adam Onus, Primoz Skraba
The topology of periodic spaces has attracted a lot of interest in recent years in order to study and classify crystalline structures and other large homogeneous data sets, such as…
Shoving tubes through shapes gives a sufficient and efficient shape statistic
Adam Onus, Nina Otter, Renata Turkes
The Persistent Homology Transform (PHT) was introduced in the field of Topological Data Analysis about 10 years ago, and has since been proven to be a very powerful descriptor of E…