Zobrazeno 1 - 10
of 354
pro vyhledávání: '"Gross Elizabeth A"'
Autor:
Bortner, Cashous, Garbett, Jennifer, Gross, Elizabeth, McClain, Christopher, Krawzik, Naomi, Young, Derek
Log-linear exponential random graph models are a specific class of statistical network models that have a log-linear representation. This class includes many stochastic blockmodel variants. In this paper, we focus on $\beta$-stochastic blockmodels, w
Externí odkaz:
http://arxiv.org/abs/2410.06223
Phylogenetic networks describe the evolution of a set of taxa for which reticulate events have occurred at some point in their evolutionary history. Of particular interest is when the evolutionary history between a set of just three taxa has a reticu
Externí odkaz:
http://arxiv.org/abs/2409.17894
Autor:
Alexandr, Yulia, Bakenhus, Miles, Curiel, Mark, Deshpande, Sameer K., Gross, Elizabeth, Gu, Yuqi, Hill, Max, Johnson, Joseph, Kagy, Bryson, Karwa, Vishesh, Li, Jiayi, Lyu, Hanbaek, Petrović, Sonja, Rodriguez, Jose Israel
In the last quarter of a century, algebraic statistics has established itself as an expanding field which uses multilinear algebra, commutative algebra, computational algebra, geometry, and combinatorics to tackle problems in mathematical statistics.
Externí odkaz:
http://arxiv.org/abs/2402.13961
Autor:
Puente, Luis David García, Gross, Elizabeth, Harrington, Heather A, Johnston, Matthew, Meshkat, Nicolette, Millán, Mercedes Pérez, Shiu, Anne
Motivated by the question of how biological systems maintain homeostasis in changing environments, Shinar and Feinberg introduced in 2010 the concept of absolute concentration robustness (ACR). A biochemical system exhibits ACR in some species if the
Externí odkaz:
http://arxiv.org/abs/2401.00078
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
Phylogenetic networks represent evolutionary histories of sets of taxa where horizontal evolution or hybridization has occurred. Placing a Markov model of evolution on a phylogenetic network gives a model that is particularly amenable to algebraic st
Externí odkaz:
http://arxiv.org/abs/2307.15166
The steady-state degree of a chemical reaction network is the number of complex steady-states for generic rate constants and initial conditions. One way to bound the steady-state degree is through the mixed volume of the steady-state system or an equ
Externí odkaz:
http://arxiv.org/abs/2303.18096
Phylogenetic networks provide a means of describing the evolutionary history of sets of species believed to have undergone hybridization or gene flow during their evolution. The mutation process for a set of such species can be modeled as a Markov pr
Externí odkaz:
http://arxiv.org/abs/2211.11919
Linear structural equation models are multivariate statistical models encoded by mixed graphs. In particular, the set of covariance matrices for distributions belonging to a linear structural equation model for a fixed mixed graph $G=(V, D,B)$ is par
Externí odkaz:
http://arxiv.org/abs/2210.00239
Inspired by the work of Amdeberhan, Can, and Moll on broken necklaces, we define a broken bracelet as a linear arrangement of marked and unmarked vertices and introduce a generalization called $n$-stars, which is a collection of $n$ broken bracelets
Externí odkaz:
http://arxiv.org/abs/2202.01416