Draft of slides on calibration

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diff --git a/calibration2024/.gitignore b/calibration2024/.gitignore
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+calibration2024.run.xml
+calibration2024.bcf
diff --git a/calibration2024/calibration2024.bib b/calibration2024/calibration2024.bib
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+
+@inproceedings{Baudin2021,
+ title={Linear algebra of linear and nonlinear bayesian calibration},
+ author={Baudin, Michaël and Lebrun, Régis},
+ year={2021},
+ booktitle = {UNCECOMP 2021},
+ pages = {339--353},
+ organization = "4th ECCOMAS Thematic Conference on Uncertainty Quantification in Computational Sciences and Engineering M. Papadrakakis, V. Papadopoulos, G. Stefanou (eds.) Streamed from Athens, Greece, 28-30 June 2021",
+}
+@book{BinghamFry2010,
+  title={Regression, Linear Models in Statistics},
+  author={N. H. Bingham and John M. Fry},
+  series={Springer Undergraduate Mathematics Series},
+  year={2010},
+  publisher={Springer}
+}
+
+@Book{Bjorck1996,
+  author =   {Ake Björck},
+  title =    {Numerical Methods for Least Squares Problems},
+  publisher =    {Society for Industrial Applied Mathematics},
+  year =     {1996},
+}
+
+@book{BinghamFry,
+  title={Regression, Linear Models in Statistics},
+  author={N. H. Bingham and John M. Fry},
+  series={Springer Undergraduate Mathematics Series},
+  year={2010},
+  publisher={Springer}
+}
+
+@INPROCEEDINGS{Hansen00thelcurve,
+    author = {P. C. Hansen},
+    title = {The {L}-Curve and its Use in the Numerical Treatment of Inverse Problems},
+    booktitle = {in Computational Inverse Problems in Electrocardiology, ed. P. Johnston, Advances in Computational Bioengineering},
+    year = {2000},
+    pages = {119--142},
+    publisher = {WIT Press}
+}
+
+@article{trucano2006calibration,
+  title={Calibration, validation, and sensitivity analysis: What's what},
+  author={Trucano, Timothy G and Swiler, Laura Painton and Igusa, Takera and Oberkampf, William L and Pilch, Martin},
+  journal={Reliability Engineering \& System Safety},
+  volume={91},
+  number={10-11},
+  pages={1331--1357},
+  year={2006},
+  publisher={Elsevier}
+}
+
+@techreport{Blanchard2020,
+author = {Jean-Baptiste Blanchard and Guillaume Damblin and Michaël Baudin},
+title = {Introduction aux problèmes de calibration de paramètres.},
+year = {2020}, 
+institution = {I3P, EDF R\&D et CEA}, 
+}
+
+@book{Evensen2009,
+title = {Data Assimilation - The Ensemble {Kalman} Filter},
+author = {Geir Evensen},
+year = {2009},
+publisher = {SIAM}
+}
+
+@book{Sen1990,
+    author       = "Ashish Sen and Muni Srivastava",
+    title        = "Regression analysis",
+    year         = "1990",
+    publisher    = "Springer",
+}
+
+@book{Draper1988,
+    author       = "Norman R. Draper and Harry Smith",
+    title        = "Applied Regression Analysis, Third Edition",
+    year         = "1988",
+    publisher    = "John Wiley \& Sons, Inc.",
+}
+
+@book{Tarantola2005,
+    author       = "Albert Tarantola",
+    title        = "Inverse problem theory",
+    year         = "2005",
+    publisher    = "SIAM",
+}
+
+@book{Asch2016,
+  title={Data assimilation. Methods, algorithms and applications.},
+  author={Asch, Mark and Bocquet, Marc and Nodet, Maëlle},
+  year={2016},
+  publisher={SIAM}
+}
+
+@incollection{iooss2015review,
+  title={A review on global sensitivity analysis methods},
+  author={Iooss, Bertrand and Lema{\^\i}tre, Paul},
+  booktitle={Uncertainty management in simulation-optimization of complex systems},
+  pages={101--122},
+  year={2015},
+  publisher={Springer}
+}
+
+@Inbook{Baudin2016,
+author="Baudin, Micha{\"e}l and Dutfoy, Anne and Iooss, Bertrand and Popelin, Anne-Laure",
+title="{OpenTURNS}: An Industrial Software for Uncertainty Quantification in Simulation. In: Ghanem R., Higdon D., Owhadi H. (eds) Handbook of Uncertainty Quantification.",
+year="2016",
+publisher="Springer International Publishing",
+address="Cham",
+pages="1--38",
+isbn="978-3-319-11259-6",
+doi="10.1007/978-3-319-11259-6_64-1",
+url="https://doi.org/10.1007/978-3-319-11259-6_64-1"
+}
+
+@techreport{BaudinMethodes2020,
+author = {Michaël Baudin and Régis Lebrun},
+title = {Méthodes de calage : algorithmes mathématiques et implémentation dans {OpenTURNS}.},
+year = {2020}, 
+institution = {EDF R\&D}, 
+number={6125-3119-2020-02448-FR}
+}
+
+@techreport{BaudinMethodes2022,
+author = {Michaël Baudin},
+title = {Méthodes de calage : algorithmes mathématiques avancés et implémentation dans {OpenTURNS}.},
+year = {2022}, 
+institution = {EDF R\&D}, 
+number={6125-3119-2022-00175-FR}
+}
+
+@unpublished{OpenTURNSCalibrationFlooding, 
+author = "{Consortium OpenTURNS}",
+title = "Calibration of the flooding model",
+year = "2022",
+note = "\url{http://openturns.github.io/openturns/master/auto_calibration/least_squares_and_gaussian_calibration/plot_calibration_flooding.html}",
+}
+
+@techreport{garbow1980implementation,
+  title={Implementation guide for {MINPACK}-1.},
+  author={Garbow, Burton S. and Hillstrom, Kenneth E. and More, Jorge J.},
+  year={1980},
+  institution={Argonne National Lab., IL (USA)}
+}
+
+@book{kern2016methodes,
+  title={M{\'e}thodes num{\'e}riques pour les problemes inverses},
+  author={Kern, Michel},
+  year={2016},
+  publisher={ISTE Group}
+}
+
+
+@book{hastie2009elements,
+  title={The elements of statistical learning: data mining, inference, and prediction},
+  author={Hastie, Trevor and Tibshirani, Robert and Friedman, Jerome H and Friedman, Jerome H},
+  volume={2},
+  year={2009},
+  publisher={Springer}
+}
+
+@article{Rocquigny2006LaMaitrise,
+  title={La maîtrise des incertitudes dans un contexte industriel. 1re partie: une approche méthodologique globale basée sur des exemples.},
+  author={de Rocquigny, Etienne.},
+  journal={Journal de la Société française de statistique},
+  volume={147},
+  number={3},
+  pages={33-71},
+  year={2006}
+}
+
diff --git a/calibration2024/calibration2024.tex b/calibration2024/calibration2024.tex
@@ -0,0 +1,94 @@
+% Copyright (C) 2024 - Michaël Baudin
+
+\documentclass[9pt]{beamer}
+
+%\setbeameroption{hide notes}
+%\setbeameroption{show notes}
+%\setbeameroption{show only notes}
+
+\input{macros}
+
+\title[Calibration in OpenTURNS]{Overview of calibration features in OpenTURNS}
+
+\author[M. Baudin]{
+Michaël Baudin \inst{1}
+}
+
+\institute[EDF]{
+\inst{1} EDF R\&D. 6, quai Watier, 78401, Chatou Cedex - France, michael.baudin@edf.fr
+}
+
+
+\date[]{June 19th 2024, Palaiseau, France}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{document}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{frame}
+\titlepage
+
+\begin{center}
+\includegraphics[height=0.15\textheight]{figures/edf.jpg}
+\end{center}
+
+\end{frame}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{frame}
+\frametitle{Introduction}
+
+Le calage est l'étape B' de la méthodologie \footnote{Voir \cite{BaudinMethodes2020} and OpenTURNS \cite{OpenTURNSCalibrationFlooding}}.
+
+\begin{figure}
+\begin{center}
+\includegraphics[width=0.7\textwidth]{MethodologieIncertitude-EN.pdf}
+\end{center}
+\caption{L'étape B' de calage associe les sorties observées au modèle pour 
+ajuster les entrées.}
+\end{figure}
+
+\end{frame}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{frame}
+\frametitle{Introduction}
+
+On dispose :
+\begin{itemize}
+\item d'observations,
+\item d'un modèle paramétrique.
+\end{itemize}
+
+On cherche :
+\begin{itemize}
+\item des paramètres, 
+\item tels que les prédictions du modèle soient 
+\emph{proches} des observations. 
+\end{itemize}
+
+\begin{figure}
+\begin{center}
+\includegraphics[width=0.5\textwidth]{flooding_before_calibration.pdf}
+\end{center}
+\caption{Des observations comparées à des prédictions.}
+\end{figure}
+
+\end{frame}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\section{References}
+\begin{frame}[allowframebreaks]
+\frametitle{Références}
+\nocite{*}
+\bibliographystyle{apalike}
+\bibliography{calibration2024}
+\end{frame}
+
+\end{document}