EAS Publications Series
Volume 78-79, 2016Mathematical Tools for Instrumentation & Signal Processing in Astronomy
|Page(s)||127 - 161|
|Section||Mathematical Concepts, Methods and Tools|
|Published online||02 September 2016|
D. Mary, R. Flamary, C. Theys and C. Aime (eds)
EAS Publications Series, 78–79 (2016) 127-161
Introduction to optimization with applications in astronomy and astrophysics
1 INSA Rouen, LITIS, France
2 Université Côte d'Azur, OCA, CNRS, Laboratoire Lagrange, Boulevard de l'Observatoire, CS 34229, 06304 Nice Cedex 4, France
This chapter aims at providing an introduction to numerical optimization with some applications in astronomy and astrophysics. We provide important preliminary definitions that will guide the reader towards different optimization procedures. We discuss three families of optimization problems and describe numerical algorithms allowing, when this is possible, to solve these problems. For each family, we present in detail simple examples and more involved advanced examples. As a final illustration, we focus on two worked-out examples of optimization applied to astronomical data. The first application is a supervised classification of RR-Lyrae stars. The second one is the denoising of galactic spectra formulated by means of sparsity inducing models in a redundant dictionary.
© EAS, EDP Sciences, 2016
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.