Optimization Applied to Model Fitting

Ionut Danaila (), Pascal Joly, Sidi Mahmoud Kaber and Marie Postel
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Ionut Danaila: Université de Rouen Normandie, CNRS, Laboratoire de mathématiques Raphaël Salem
Pascal Joly: Laboratoire Jacques-Louis Lions
Sidi Mahmoud Kaber: Sorbonne Université, CNRS, Université Paris Cité, Laboratoire Jacques-Louis Lions
Marie Postel: Sorbonne Université, CNRS, Université Paris Cité, Laboratoire Jacques-Louis Lions

Chapter Chapter 13 in An Introduction to Scientific Computing, 2023, pp 293-308 from Springer

Abstract: Abstract What is optimization? From the mathematical point of view, it consists of finding the extrema of a numerical function. Starting from this observation, an optimization problem can be very abstract and purely mathematical, or model a real problem of everyday life, going through all the degrees of complexity in the most varied scientific fields. In this chapter, we recall some theoretical results concerning unconstrained optimization and we illustrate them on the problem of identifying parameters by adjustment to the data, for a simple epidemic model.

Date: 2023
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DOI: 10.1007/978-3-031-35032-0_13

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