Various processes, such as cell differentiation and disease spreading, can be modelled as quasireaction systems of particles using stochastic differential equations. The existing Local Linear Approximation (LLA) method infers the parameters driving these systems from measurements of particle abundances over time. While dense observations of the process in time should in theory improve parameter estimation, LLA fails in these situations due to numerical instability. Defining a latent event history model of the underlying quasi-reaction system resolves this problem. A computationally efficient Expectation-Maximization algorithm is proposed for parameter estimation, incorporating an extended Kalman filter for evaluating the latent reactions. A simulation study demonstrates the method’s performance and highlights the settings where it is particularly advantageous compared to the existing LLA approaches. An illustration of the method applied to the diffusion of COVID-19 in Italy is presented.

Latent event history models for quasi-reaction systems / Framba, Matteo; Vinciotti, Veronica; Wit, Ernst C.. - In: COMPUTATIONAL STATISTICS & DATA ANALYSIS. - ISSN 0167-9473. - 198:(2024), pp. 10799601-10799615. [10.1016/j.csda.2024.107996]

Latent event history models for quasi-reaction systems

Framba, Matteo;Vinciotti, Veronica;
2024-01-01

Abstract

Various processes, such as cell differentiation and disease spreading, can be modelled as quasireaction systems of particles using stochastic differential equations. The existing Local Linear Approximation (LLA) method infers the parameters driving these systems from measurements of particle abundances over time. While dense observations of the process in time should in theory improve parameter estimation, LLA fails in these situations due to numerical instability. Defining a latent event history model of the underlying quasi-reaction system resolves this problem. A computationally efficient Expectation-Maximization algorithm is proposed for parameter estimation, incorporating an extended Kalman filter for evaluating the latent reactions. A simulation study demonstrates the method’s performance and highlights the settings where it is particularly advantageous compared to the existing LLA approaches. An illustration of the method applied to the diffusion of COVID-19 in Italy is presented.
2024
Framba, Matteo; Vinciotti, Veronica; Wit, Ernst C.
Latent event history models for quasi-reaction systems / Framba, Matteo; Vinciotti, Veronica; Wit, Ernst C.. - In: COMPUTATIONAL STATISTICS & DATA ANALYSIS. - ISSN 0167-9473. - 198:(2024), pp. 10799601-10799615. [10.1016/j.csda.2024.107996]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/411970
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