Chaos as an interpretable benchmark for forecasting and data-driven modelling

W Gilpin - arXiv preprint arXiv:2110.05266, 2021 - arxiv.org
The striking fractal geometry of strange attractors underscores the generative nature of
chaos: like probability distributions, chaotic systems can be repeatedly measured to produce …

Computing tropical prevarieties with satisfiability modulo theories (SMT) solvers

C Lüders - arXiv preprint arXiv:2004.07058, 2020 - arxiv.org
A novel way to use SMT (Satisfiability Modulo Theories) solvers to compute the tropical
prevariety (resp. equilibrium) of a polynomial system is presented. The new method is …

Analysis of the Conradi-Kahle algorithm for detecting binomiality on biological models

A Iosif, H Rahkooy - arXiv preprint arXiv:1912.06896, 2019 - arxiv.org
We analyze the Conradi-Kahle Algorithm for detecting binomiality. We present experiments
using two implementations of the algorithm in Macaulay2 and Maple on biological models …

Symbolic Methods for Biological Networks D2. 1 Report on Scalable Methods for Tropical Solutions (T1. 2)

C Lüders, E Bellot, F Fages, O Radulescu, S Soliman - 2022 - inria.hal.science
Tropical geometry can be used to find the order of time scales of variables in chemical
reaction networks and search for model reductions [SGF+ 15]. In this report, we consider the …