Interior-Point Methods

Andrei, Neculai

doi:10.1007/978-3-031-08720-2_17

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2024

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“…Navigating the intricacies of the interior-point method in the realm of inverse modelling poses an additional layer of difficulty. The selection of the barrier parameter, regularization parameter, and stopping criterion becomes a challenging task in itself 59 . These choices significantly impact the performance of the interiorpoint method, requiring careful consideration and tuning for effective application in the domain of inverse modelling.…”

Section: Adjoint Methodsmentioning

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: Adjoint Methodsmentioning

confidence: 99%