283 citations · 301 across the 3 of their papers we have counts for
7 papers
Discretization of Time Series Data
Elena S. Dimitrova, John J. McGee, Reinhard C. Laubenbacher
Data discretization, also known as binning, is a frequently used technique in computer science, statistics, and their applications to biological data analysis. We present a new met…
A Homotopy Theory for Graphs
E. Babson, H. Barcelo, M. de Longueville +1
The recently introduced A-homotopy groups for graphs are investigated. The main concern of the present article is the construction of an infinite cell complex, the homotopy groups…
A Computational Algebra Approach to the Reverse Engineering of Gene Regulatory Networks
Reinhard Laubenbacher, Brandilyn Stigler
This paper proposes a new method to reverse engineer gene regulatory networks from experimental data. The modeling framework used is time-discrete deterministic dynamical systems,…
Classification of Finite Dynamical Systems
Luis Garcia, Abdul Salam Jarrah, Reinhard Laubenbacher
This paper is motivated by the theory of sequential dynamical systems, developed as a basis for a mathematical theory of computer simulation. It contains a classification of finite…
Generic ideals and Moreno-Soc{\'ı}as conjecture
Edith Aguirre, Abdul Salam Jarrah, Reinhard Laubenbacher +2
Let be homogeneous polynomials generating a generic ideal in the ring of polynomials in variables over an infinite field. Moreno-Socías conjectured that for…
The Center Variety of Polynomial Differential Systems
Abdul Salam Jarrah, Reinhard Laubenbacher, Valery Romanovski
We investigate the symmetry component of the center variety of polynomial differential systems, corresponding to systems with an axis of symmetry in the real plane. We give a gener…