Separable nonlinear least-squares parameter estimation for complex dynamic systems

DOI10.1155/2020/6403641zbMath1435.92003arXiv1908.03717OpenAlexW3015076400MaRDI QIDQ2175990

Itai Dattner, Harold Ship, Eberhard O. (Editor-in-Chief) Voit

Publication date: 30 April 2020

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.03717

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) General biostatistics (92B15) Point estimation (62F10) Systems biology, networks (92C42)

Uses Software

• R
• MASS (R)
• ggplot2
• Schittkowski
• TIMP
• EBayesThresh
• simode

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sparse Principal Component Analysis via Variable Projection
• Optimal rate of direct estimators in systems of ordinary differential equations linear in functions of the parameters
• Biochemical systems theory: a review
• \(\sqrt{n}\)-consistent parameter estimation for systems of ordinary differential equations: bypassing numerical integration via smoothing
• Smooth functional tempering for nonlinear differential equation models
• Statistical inference for dynamical systems: a review
• Numerical data fitting in dynamical systems. A practical introduction with applications and software. With CD-ROM
• Parameter estimation of ODE's via nonparametric estimators
• Recent developments in parameter estimation and structure identification of biochemical and genomic systems
• Dynamic data analysis. Modeling data with differential equations
• Empirical Bayes selection of wavelet thresholds
• The Mathematics of Infectious Diseases
• The stability of nonlinear least squares problems and the Cramer-Rao bound
• A model-based initial guess for estimating parameters in systems of ordinary differential equations
• An Efficient Iterative Approach for Large-Scale Separable Nonlinear Inverse Problems
• Statistical Analysis of Financial Data in S-Plus
• Algorithms for Separable Nonlinear Least Squares Problems
• A Spline Least Squares Method for Numerical Parameter Estimation in Differential Equations
• Separable nonlinear least squares: the variable projection method and its applications
• Riemann Manifold Langevin and Hamiltonian Monte Carlo Methods
• Parameter Estimation for Differential Equations: a Generalized Smoothing Approach
• Parameter Estimation and Variable Selection for Big Systems of Linear Ordinary Differential Equations: A Matrix-Based Approach
• Elimination of Linear Parameters in Nonlinear Regression
• The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate
• All of Nonparametric Statistics
• Time-course window estimator for ordinary differential equations linear in the parameters
• Application of one‐step method to parameter estimation in ODE models

This page was built for publication: Separable nonlinear least-squares parameter estimation for complex dynamic systems