We present our Julia software package ParameterEstimation.jl, which estimates parameter values in parametric ODE models, using measured data. Our approach, unlike most other approaches, is not based on optimization. Instead, it is based on differential algebra, interpolation of the data using rational functions, and multivariable polynomial system solving. We compare the accuracy and time/memory performance of our software with other estimation software packages, SciMLSensitivity, AMIGO2, and IQM.
翻译:我们推出了Julia软件包ParameterEstimation.jl,该软件包利用测量数据估计参数化常微分方程模型中的参数值。与大多数其他方法不同,我们的方法不基于优化,而是基于微分代数、使用有理函数对数据进行插值以及多变量多项式系统求解。我们将本软件的精度与时间/内存性能与其他估计软件包(SciMLSensitivity、AMIGO2和IQM)进行了比较。