3 citations · 5 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
Eliminating dual spaces
Robert Krone, Anton Leykin
Macaulay dual spaces provide a local description of an affine scheme and give rise to computational machinery that is compatible with the methods of numerical algebraic geometry. W…