283 citations · 704 across the 12 of their papers we have counts for
12 papers
Algebraic Experimental Design: Theory and Computation
Elena S. Dimitrova, Cameron H. Fredrickson, Nicholas A. Rondoni +2
Over the past several decades, algebraic geometry has provided innovative approaches to biological experimental design that resolved theoretical questions and improved computationa…
Revealing the canalizing structure of Boolean functions: Algorithms and applications
Elena Dimitrova, Brandilyn Stigler, Claus Kadelka +1
Boolean functions can be represented in many ways including logical forms, truth tables, and polynomials. Additionally, Boolean functions have different canonical representations s…
Algebraic Model Selection and Experimental Design in Biological Data Science
Anyu Zhang, Jingzhen Hu, Qingzhong Liang +2
Design of experiments and model selection, though essential steps in data science, are usually viewed as unrelated processes in the study and analysis of biological networks. Not a…
The Number of Gröbner Bases in Finite Fields
Anyu Zhang, Brandilyn Stigler
In the field of algebraic systems biology, the number of minimal polynomial models constructed using discretized data from an underlying system is related to the number of distinct…
Geometric characterization of data sets with unique reduced Gröbner bases
Elena S. Dimitrova, Qijun He, Brandilyn Stigler +1
Model selection based on experimental data is an important challenge in biological data science. Particularly when collecting data is expensive or time consuming, as it is often th…
Small Groebner Fans of Ideals of Points
Elena Dimitrova, Qijun He, Lorenzo Robbiano +1
In the context of modeling biological systems, it is of interest to generate ideals of points with a unique reduced Groebner basis, and the first main goal of this paper is to iden…