46 citations · 46 across the 6 of their papers we have counts for
6 papers
Learning the Graphical Nature of Symmetries
Rashid Barket, Enrico Grimaldi, Yacoub Hendi +3
Finite groups are rigid algebraic objects, whose Cayley graphs expose a rich network geometry through which group-theoretic structure can be measured, compared, and learned. In thi…
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…
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…
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…
Numerical Calibration of the HCNStar Formation Correlation
Adam Onus, Mark R. Krumholz, Christoph Federrath
HCN(10) emission traces dense gas and correlates very strongly with star formation rates (SFRs) on scales from small Milky Way clouds to whole galaxies. The observed correlation…