Zobrazeno 1 - 10
of 89
pro vyhledávání: '"CUMMINGS, JOSEPH"'
A standard question in real algebraic geometry is to compute the number of connected components of a real algebraic variety in affine space. By adapting an approach for determining connectivity in complements of real hypersurfaces by Hong, Rohal, Saf
Externí odkaz:
http://arxiv.org/abs/2405.18578
Algebraic techniques in phylogenetics have historically been successful at proving identifiability results and have also led to novel reconstruction algorithms. In this paper, we study the ideal of phylogenetic invariants of the Cavender-Farris-Neyma
Externí odkaz:
http://arxiv.org/abs/2312.07450
Autor:
Cummings, Joseph, Hollering, Benjamin
In this paper, we focus on computing the kernel of a map of polynomial rings $\varphi$. This core problem in symbolic computation is known as implicitization. While there are extremely effective Gr\"obner basis methods used to solve this problem, the
Externí odkaz:
http://arxiv.org/abs/2311.07678
Autor:
Cummings, Joseph, Hauenstein, Jonathan
We describe an algorithm for computing Macaulay dual spaces for multi-graded ideals. For homogeneous ideals, the natural grading is inherited by the Macaulay dual space which has been leveraged to develop algorithms to compute the Macaulay dual space
Externí odkaz:
http://arxiv.org/abs/2310.11587
Autor:
Cummings, Joseph, Manon, Christopher
We show that a certain compactification $\mathfrak{X}_g$ of the $\mathrm{SL}_2(\mathbb{C})$ free group character variety $\mathcal{X}(F_g, \mathrm{SL}_2(\mathbb{C}))$ is Fano. This compactification has been studied previously by the second author, an
Externí odkaz:
http://arxiv.org/abs/2209.02766
Phylogenetic networks can model more complicated evolutionary phenomena that trees fail to capture such as horizontal gene transfer and hybridization. The same Markov models that are used to model evolution on trees can also be extended to networks a
Externí odkaz:
http://arxiv.org/abs/2102.03431
Autor:
Ciosici, Manuel R., Cummings, Joseph, DeHaven, Mitchell, Hedges, Alex, Kankanampati, Yash, Lee, Dong-Ho, Weischedel, Ralph, Freedman, Marjorie
We describe Machine-Aided Script Curator (MASC), a system for human-machine collaborative script authoring. Scripts produced with MASC include (1) English descriptions of sub-events that comprise a larger, complex event; (2) event types for each of t
Externí odkaz:
http://arxiv.org/abs/2101.05400
Publikováno v:
In Advances in Applied Mathematics February 2024 153
Autor:
Cummings, Joseph, Manon, Christopher
An embedded variety is said to be well-poised when the associated initial ideal degenerations coming from points of the tropical variety are reduced and irreducible. Varieties with a well-poised embedding admit a large collection of explicitly constr
Externí odkaz:
http://arxiv.org/abs/2009.09105
Publikováno v:
Alg. Stat. 14 (2023) 17-36
Marginal polytopes are important geometric objects that arise in statistics as the polytopes underlying hierarchical log-linear models. These polytopes can be used to answer geometric questions about these models, such as determining the existence of
Externí odkaz:
http://arxiv.org/abs/2008.00043