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        <Text>&lt;p&gt; &lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;This book is a collection of 13 articles corresponding to lectures and research &lt;/span&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;works exposed at the Summer school of the CNRS titled « Bases mathématiques &lt;/span&gt;&lt;span style="color: #000000;"&gt;pour l’instrumentation et le traitement du signal en astronomie ». The school took &lt;/span&gt;&lt;span style="color: #000000;"&gt;place in Nice and Porquerolles, France, from June 1 to 5, 2015.&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;This book contains three parts:&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;I. Astronomy in the coming decade and beyond&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;The three chapters of this part emphasize the strong interdisciplinary nature of &lt;/span&gt;&lt;span style="color: #000000;"&gt;Astrophysics, both at theoretical and observational levels, and the increasingly &lt;/span&gt;&lt;span style="color: #000000;"&gt;larger sizes of data sets produced by increasingly more complex instruments &lt;/span&gt;&lt;span style="color: #000000;"&gt;and infrastructures. These remarkable features call in the same time for more &lt;/span&gt;&lt;span style="color: #000000;"&gt;mathematical tools in signal processing and instrumentation, in particular in &lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;em&gt;statistical modeling, large scale inference, data mining, machine learning&lt;/em&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;, and for &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;em&gt;efficient processing solutions &lt;/em&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;allowing their implementation.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;II. Mathematical concepts, methods and tools&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;The first chapter of this part starts with an example of how pure mathematics can &lt;/span&gt;&lt;span style="color: #000000;"&gt;lead to new instrumental concepts, in this case for exoplanet detection. The four &lt;/span&gt;&lt;span style="color: #000000;"&gt;other chapters of this part provide a detailed introduction to four main topics: &lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;em&gt;Orthogonal functions &lt;/em&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;as a powerful tool for modeling signals and images, covering &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;Fourier, Fourier-Legendre, Fourier-Bessel series for 1D signals and Spherical &lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;Harmonic series for 2D signals; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;em&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;Optimization and machine learning methods &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/em&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;with &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;application to inverse problems, denoising and classication, with on-line numerical &lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;experiments; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;em&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;Large scale statistical inference &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/em&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;with adaptive procedures allowing &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;to control the False Discovery Rate, like the Benjamini-Hochberg procedure, its &lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;Bayesian interpretation and some variations; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;em&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;Processing solutions for large data &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/em&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;em&gt;sets&lt;/em&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;, covering the Hadoop framework and YARN, the main tools for the management &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;of both the storage and computing capacities of a cluster of machines and also &lt;/span&gt;&lt;span style="color: #000000;"&gt;recent solutions like Spark.&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;III. Application: tools in action&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;This parts collects a number of current research works where some tools above are &lt;/span&gt;&lt;span style="color: #000000;"&gt;presented in action: optimization for deconvolution, statistical modeling, multiple &lt;/span&gt;&lt;span style="color: #000000;"&gt;testing, optical and instrumental models. The applications of this part include &lt;/span&gt;&lt;span style="color: #000000;"&gt;astronomical imaging, detection and estimation of circumgalactic structures, and &lt;/span&gt;&lt;span style="color: #000000;"&gt;detection of exoplanets.&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style="color: #000000;"&gt;Slides and numerical experiments can be found at https://basmati.oca.eu.&lt;/span&gt;&lt;/p&gt;&lt;p&gt; &lt;/p&gt;&lt;p&gt; &lt;/p&gt;</Text>
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        <Text>&lt;p&gt; &lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;This book is a collection of 13 articles corresponding to lectures and research &lt;/span&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;works exposed at the Summer school of the CNRS titled « Bases mathématiques &lt;/span&gt;&lt;span style="color: #000000;"&gt;pour l’instrumentation et le traitement du signal en astronomie ». The school took &lt;/span&gt;&lt;span style="color: #000000;"&gt;place in Nice and Porquerolles, France, from June 1 to 5, 2015.&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;This book contains three parts:&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;I. Astronomy in the coming decade and beyond&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;The three chapters of this part emphasize the strong interdisciplinary nature of &lt;/span&gt;&lt;span style="color: #000000;"&gt;Astrophysics, both at theoretical and observational levels, and the increasingly &lt;/span&gt;&lt;span style="color: #000000;"&gt;larger sizes of data sets produced by increasingly more complex instruments &lt;/span&gt;&lt;span style="color: #000000;"&gt;and infrastructures. These remarkable features call in the same time for more &lt;/span&gt;&lt;span style="color: #000000;"&gt;mathematical tools in signal processing and instrumentation, in particular in &lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;em&gt;statistical modeling, large scale inference, data mining, machine learning&lt;/em&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;, and for &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;em&gt;efficient processing solutions &lt;/em&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;allowing their implementation.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;II. Mathematical concepts, methods and tools&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;The first chapter of this part starts with an example of how pure mathematics can &lt;/span&gt;&lt;span style="color: #000000;"&gt;lead to new instrumental concepts, in this case for exoplanet detection. The four &lt;/span&gt;&lt;span style="color: #000000;"&gt;other chapters of this part provide a detailed introduction to four main topics: &lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;em&gt;Orthogonal functions &lt;/em&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;as a powerful tool for modeling signals and images, covering &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;Fourier, Fourier-Legendre, Fourier-Bessel series for 1D signals and Spherical &lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;Harmonic series for 2D signals; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;em&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;Optimization and machine learning methods &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/em&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;with &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;application to inverse problems, denoising and classication, with on-line numerical &lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;experiments; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;em&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;Large scale statistical inference &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/em&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;with adaptive procedures allowing &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;to control the False Discovery Rate, like the Benjamini-Hochberg procedure, its &lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;Bayesian interpretation and some variations; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;em&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;Processing solutions for large data &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/em&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd-Italic; font-size: small;"&gt;&lt;em&gt;sets&lt;/em&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;&lt;span style="font-family: RotisSemiSansStd; font-size: small;"&gt;, covering the Hadoop framework and YARN, the main tools for the management &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="color: #000000;"&gt;of both the storage and computing capacities of a cluster of machines and also &lt;/span&gt;&lt;span style="color: #000000;"&gt;recent solutions like Spark.&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;III. Application: tools in action&lt;/span&gt;&lt;/p&gt;&lt;p align="LEFT"&gt;&lt;span style="color: #000000;"&gt;This parts collects a number of current research works where some tools above are &lt;/span&gt;&lt;span style="color: #000000;"&gt;presented in action: optimization for deconvolution, statistical modeling, multiple &lt;/span&gt;&lt;span style="color: #000000;"&gt;testing, optical and instrumental models. The applications of this part include &lt;/span&gt;&lt;span style="color: #000000;"&gt;astronomical imaging, detection and estimation of circumgalactic structures, and &lt;/span&gt;&lt;span style="color: #000000;"&gt;detection of exoplanets.&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style="color: #000000;"&gt;Slides and numerical experiments can be found at https://basmati.oca.eu.&lt;/span&gt;&lt;/p&gt;&lt;p&gt; &lt;/p&gt;&lt;p&gt; &lt;/p&gt;</Text>
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        <Text>      This book is a collection of 13 articles corresponding to lectures and research    works exposed at the Summer school of the CNRS titled « Bases mathématiques   pour l’instrumentation et le traitement du signal en astronomie ». The school took   place in Nice and Porquerolles, France, from June 1 to 5, 2015.    This book contains ...</Text>
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