55 citations · 109 across the 8 of their papers we have counts for
8 papers
HSolo: Homography from a single affine aware correspondence
Antonio Gonzales, Cara Monical, Tony Perkins
The performance of existing robust homography estimation algorithms is highly dependent on the inlier rate of feature point correspondences. In this paper, we present a novel proce…
Computer-automated tuning procedures for semiconductor quantum dot arrays
A. R. Mills, M. M. Feldman, C. Monical +4
As with any quantum computing platform, semiconductor quantum dot devices require sophisticated hardware and controls for operation. The increasing complexity of quantum dot device…
Reduced word enumeration, complexity, and randomization
Cara Monical, Benjamin Pankow, Alexander Yong
A reduced word of a permutation is a minimal length expression of as a product of simple transpositions. We examine the computational complexity, formulas and (randomized)…
Crystal structures for symmetric Grothendieck polynomials
Cara Monical, Oliver Pechenik, Travis Scrimshaw
The symmetric Grothendieck polynomials representing Schubert classes in the -theory of Grassmannians are generating functions for semistandard set-valued tableaux. We construct…
Polynomials from combinatorial -theory
Cara Monical, Oliver Pechenik, Dominic Searles
We introduce two new bases of the ring of polynomials and study their relations to known bases. The first basis is the quasiLascoux basis, which is simultaneously both a -theore…
A combinatorial method for connecting BHV spaces representing different numbers of taxa
Yingying Ren, Sihan Zha, Jingwen Bi +5
The phylogenetic tree space introduced by Billera, Holmes, and Vogtmann (BHV tree space) is a CAT(0) continuous space that represents trees with edge weights with an intrinsic geod…
Newton Polytopes in Algebraic Combinatorics
Cara Monical, Neriman Tokcan, Alexander Yong
A polynomial has saturated Newton polytope (SNP) if every lattice point of the convex hull of its exponent vectors corresponds to a monomial. We compile instances of SNP in algebra…
Set-Valued Skyline Fillings
Cara Monical
Set-valued tableaux play an important role in combinatorial -theory. Separately, semistandard skyline fillings are a combinatorial model for Demazure atoms and key polynomials.…