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20142026
most citedParametric Estimation of Ordinary Differential Equations with Orthogonality Conditions

26 citations · 33 across the 7 of their papers we have counts for

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6 papers · 1 filter

stat.ME2026

Variational autoencoder for inference of nonlinear mixed effect models based on ordinary differential equations

Zhe Li, Mélanie Prague, Rodolphe Thiébaut +1

We propose a variational autoencoder (VAE) approach for parameter estimation in nonlinear mixed-effects models based on ordinary differential equations (NLME-ODEs) using longitudin…

stat.ME2021

Parameter estimation in nonlinear mixed effect models based on ordinary differential equations: an optimal control approach

Quentin Clairon, Chloé Pasin, Irene Balelli +2

We present a parameter estimation method for nonlinear mixed effect models based on ordinary differential equations (NLME-ODEs). The method presented here aims at regularizing the…

stat.ME2018★ 6 cited

A regularization method for the parameter estimation problem in ordinary differential equations via discrete optimal control theory

Quentin Clairon

We present a parameter estimation method in Ordinary Differential Equation (ODE) models. Due to complex relationships between parameters and states the use of standard techniques s…

stat.ME2014★ 26 cited

Parametric Estimation of Ordinary Differential Equations with Orthogonality Conditions

Nicolas J-B Brunel, Quentin Clairon, Florence d'Alche-Buc

Differential equations are commonly used to model dynamical deterministic systems in applications. When statistical parameter estimation is required to calibrate theoretical models…

stat.ME2014★ 1 cited

State and Parameter Estimation of Partially Observed Linear Ordinary Differential Equations with Deterministic Optimal Control

Quentin Clairon, Nicolas Brunel

Ordinary Differential Equations are a simple but powerful framework for modeling complex systems. Parameter estimation from times series can be done by Nonlinear Least Squares (or…

stat.ME2014

A Tracking Approach to Parameter Estimation in Linear Ordinary Differential Equations

Nicolas Brunel, Quentin Clairon

Ordinary Differential Equations are widespread tools to model chemical, physical, biological process but they usually rely on parameters which are of critical importance in terms o…