INTRODUCTION TO OPTIMIZATION WITH APPLICATIONS IN ASTRONOMY AND ASTROPHYSICS

被引：0

作者：

Canu, S. ^{[1
]}

Flamary, R. ^{[2
]}

Mary, D. ^{[2
]}

机构：

[1] INSA Rouen, LITIS, St Etienne, France

[2] Univ Cote Azur, OCA, CNRS, Lab Lagrange,CS 34229, Blvd Observ, F-06304 Nice 4, France

来源：

MATHEMATICAL TOOLS FOR INSTRUMENTATION & SIGNAL PROCESSING IN ASTRONOMY | 2016年 / 78-79卷

关键词：

REGRESSION; ALGORITHM; DECONVOLUTION; MINIMIZATION; SHRINKAGE; SELECTION;

D O I：

10.1051/eas/1678007

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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 de noising of galactic spectra formulated by means of sparsity inducing models in a redundant dictionary.

引用

页码：127 / 161

页数：35

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