Using Shooting Approaches to Generate Initial Guesses for ODE Parameter Estimation

Calver, Jonathan; Yao, Jienan; Enright, W. H.

doi:10.1007/978-3-030-63591-6_25

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Overview Of Methods For Parameter Estimation1

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2024

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“…The projectile is released at a specific initial angle, and by adjusting the trajectory based on the observed misses, the target is eventually hit. Shooting approaches are often used in the field of dynamical systems, like population dynamics and chemical reactions 46 . The efficacy of shooting methods is intricately tied to the selection of initial guesses and the level of noise present.…”

Section: Overview Of Methods For Parameter Estimationmentioning

confidence: 99%

Tutorial: a beginner’s guide to building a representative model of dynamical systems using the adjoint method

Lettermann,

Jurado,

Betz

et al. 2024

Commun Phys

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Building a representative model of a complex dynamical system from empirical evidence remains a highly challenging problem. Classically, these models are described by systems of differential equations that depend on parameters that need to be optimized by comparison with data. In this tutorial, we introduce the most common multi-parameter estimation techniques, highlighting their successes and limitations. We demonstrate how to use the adjoint method, which allows efficient handling of large systems with many unknown parameters, and present prototypical examples across several fields of physics. Our primary objective is to provide a practical introduction to adjoint optimization, catering for a broad audience of scientists and engineers.

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Section: Overview Of Methods For Parameter Estimationmentioning

confidence: 99%