172 citations · 305 across the 36 of their papers we have counts for
6 papers · 1 filter
Metric thickenings and group actions
Henry Adams, Mark Heim, Chris Peterson
Let be a group acting properly and by isometries on a metric space ; it follows that the quotient or orbit space is also a metric space. We study the Vietoris-Rips and…
A generalization of Wilf's conjecture for Generalized Numerical Semigroups
Carmelo Cisto, Michael DiPasquale, Gioia Failla +3
A numerical semigroup is a submonoid of with finite complement in . A generalized numerical semigroup is a submonoid of with finite compleme…
Irreducible Generalized Numerical Semigroups and uniqueness of the Frobenius element
Carmelo Cisto, Gioia Failla, Chris Peterson +1
Let be the -dimensional monoid of non-negative integers. A generalized numerical semigroup is a submonoid such that $H(S)=\mathbb{N}^…
More chemical detection through less sampling: amplifying chemical signals in hyperspectral data cubes through compressive sensing
Henry Kvinge, Elin Farnell, Julia R. Dupuis +3
Compressive sensing (CS) is a method of sampling which permits some classes of signals to be reconstructed with high accuracy even when they were under-sampled. In this paper we ex…
Total variation vs L1 regularization: a comparison of compressive sensing optimization methods for chemical detection
Elin Farnell, Henry Kvinge, Julia R. Dupuis +3
One of the fundamental assumptions of compressive sensing (CS) is that a signal can be reconstructed from a small number of samples by solving an optimization problem with the appr…
A data-driven approach to sampling matrix selection for compressive sensing
Elin Farnell, Henry Kvinge, John P. Dixon +5
Sampling is a fundamental aspect of any implementation of compressive sensing. Typically, the choice of sampling method is guided by the reconstruction basis. However, this approac…