9 citations · 38 across the 13 of their papers we have counts for
19 papers
Dimensions of Level-1 Group-Based Phylogenetic Networks
Elizabeth Gross, Robert Krone, Samuel Martin
Phylogenetic networks represent evolutionary histories of sets of taxa where horizontal evolution or hybridization has occurred. Placing a Markov model of evolution on a phylogenet…
Noetherian Operators in Macaulay2
Justin Chen, Yairon Cid-Ruiz, Marc Härkönen +2
A primary ideal in a polynomial ring can be described by the variety it defines and a finite set of Noetherian operators, which are differential operators with polynomial coefficie…
Multiple typical ranks in matrix completion
Mareike Dressler, Robert Krone
Low-rank matrix completion addresses the problem of completing a matrix from a certain set of generic specified entries. Over the complex numbers a matrix with a given entry patter…
Noetherian operators and primary decomposition
Justin Chen, Marc Härkönen, Robert Krone +1
Noetherian operators are differential operators that encode primary components of a polynomial ideal. We develop a framework, as well as algorithms, for computing Noetherian operat…
Uniqueness of nonnegative matrix factorizations by rigidity theory
Robert Krone, Kaie Kubjas
Nonnegative matrix factorizations are often encountered in data mining applications where they are used to explain datasets by a small number of parts. For many of these applicatio…
The tropical Cayley-Menger variety
Daniel Irving Bernstein, Robert Krone
The Cayley-Menger variety is the Zariski closure of the set of vectors specifying the pairwise squared distances between points in . This variety is fundamental t…