Emulation of PGCM calculations using the Eigenvector continuation method - Inria - Institut national de recherche en sciences et technologies du num茅rique

<!DOCTYPE html> <html xmlns="http://www.w3.org/1999/xhtml" lang="fr"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <link href="http://purl.org/dc/elements/1.1/" rel="schema.DC"> <meta name="citation_language" content="en" /> <meta name="DC.language" content="en" /> <meta name="DC.type" content="phdthesis" /> <meta property="og:type" content="phdthesis" /> <meta name="citation_title" content="Emulation of PGCM calculations using the Eigenvector continuation method" /> <meta name="DC.title" content="Emulation of PGCM calculations using the Eigenvector continuation method" /> <meta property="og:title" content="Emulation of PGCM calculations using the Eigenvector continuation method" /> <meta name="DC.identifier" content="https://theses.hal.science/tel-04815246" /> <meta name="DC.identifier" content="tel-04815246" /> <meta property="og:url" content="https://theses.hal.science/tel-04815246" /> <meta name="citation_author" content="Antoine Roux" /> <meta name="citation_author_institution" content="Laboratoire Mati猫re sous Conditions Extr锚mes" /> <meta name="DC.creator" content="Antoine Roux" /> <meta name="citation_abstract" content="An atomic nucleus is a quantum system of interacting nucleons and constitutes a problem difficult to solve exactly. For this reason, a diversity of approximate resolution methods has been designed, and Projected Generator Coordinate Method (PGCM) is one of them. The strong point of PGCM is to construct a physically inspired small dimensional space, in which an approximate solution of the nuclear many-body problem is easily found. However the numerical cost of PGCM space computation make this method inadapted for sensibility analysis of nuclear observables with restect to parametrisation of the interaction model, this analysis requiring an huge number of PGCM computations. In order to make this type of study possible, this thesis explore the concept of PGCM emulator. In this work, a combination of PGCM with Eigenvector Continuation (EC) is constructed and studied. This combination (the PGCM-EC emulator) takes advantage of mathematical similarities between PGCM and EC, and above all of the decomposition of the hamiltonian as a linear combination of parameter-independent terms. The latter property is used to concentrate the heavier numerical cost in the computation of parameter-independent quantities (the elementary kernels), and open the feasability of massive PGCM emulations, the price being having first-handedly computed the costly elementary kernels. Limits of the emulator are also explored, by introducing the concept of over-training, which is exactly a consequence of the aproximativeness of a PGCM computation. Eventually this thesis demonstrates the possibility to emulate millions of PGCM computations with an error on collective spectroscopy less than 3%, and with a low numerical cost fraction of 1% of the million PGCM calculations cost." /> <meta name="DC.description" content="An atomic nucleus is a quantum system of interacting nucleons and constitutes a problem difficult to solve exactly. For this reason, a diversity of approximate resolution methods has been designed, and Projected Generator Coordinate Method (PGCM) is one of them. The strong point of PGCM is to construct a physically inspired small dimensional space, in which an approximate solution of the nuclear many-body problem is easily found. However the numerical cost of PGCM space computation make this method inadapted for sensibility analysis of nuclear observables with restect to parametrisation of the interaction model, this analysis requiring an huge number of PGCM computations. In order to make this type of study possible, this thesis explore the concept of PGCM emulator. In this work, a combination of PGCM with Eigenvector Continuation (EC) is constructed and studied. This combination (the PGCM-EC emulator) takes advantage of mathematical similarities between PGCM and EC, and above all of the decomposition of the hamiltonian as a linear combination of parameter-independent terms. The latter property is used to concentrate the heavier numerical cost in the computation of parameter-independent quantities (the elementary kernels), and open the feasability of massive PGCM emulations, the price being having first-handedly computed the costly elementary kernels. Limits of the emulator are also explored, by introducing the concept of over-training, which is exactly a consequence of the aproximativeness of a PGCM computation. Eventually this thesis demonstrates the possibility to emulate millions of PGCM computations with an error on collective spectroscopy less than 3%, and with a low numerical cost fraction of 1% of the million PGCM calculations cost." /> <meta name="description" content="An atomic nucleus is a quantum system of interacting nucleons and constitutes a problem difficult to solve exactly. For this reason, a diversity of approximate resolution methods has been designed, and Projected Generator Coordinate Method (PGCM) is one of them. The strong point of PGCM is to construct a physically inspired small dimensional space, in which an approximate solution of the nuclear many-body problem is easily found. However the numerical cost of PGCM space computation make this method inadapted for sensibility analysis of nuclear observables with restect to parametrisation of the interaction model, this analysis requiring an huge number of PGCM computations. In order to make this type of study possible, this thesis explore the concept of PGCM emulator. In this work, a combination of PGCM with Eigenvector Continuation (EC) is constructed and studied. This combination (the PGCM-EC emulator) takes advantage of mathematical similarities between PGCM and EC, and above all of the decomposition of the hamiltonian as a linear combination of parameter-independent terms. The latter property is used to concentrate the heavier numerical cost in the computation of parameter-independent quantities (the elementary kernels), and open the feasability of massive PGCM emulations, the price being having first-handedly computed the costly elementary kernels. Limits of the emulator are also explored, by introducing the concept of over-training, which is exactly a consequence of the aproximativeness of a PGCM computation. Eventually this thesis demonstrates the possibility to emulate millions of PGCM computations with an error on collective spectroscopy less than 3%, and with a low numerical cost fraction of 1% of the million PGCM calculations cost." /> <meta property="og:description" content="An atomic nucleus is a quantum system of interacting nucleons and constitutes a problem difficult to solve exactly. For this reason, a diversity of approximate resolution methods has been designed, and Projected Generator Coordinate Method (PGCM) is one of them. The strong point of PGCM is to construct a physically inspired small dimensional space, in which an approximate solution of the nuclear many-body problem is easily found. However the numerical cost of PGCM space computation make this method inadapted for sensibility analysis of nuclear observables with restect to parametrisation of the interaction model, this analysis requiring an huge number of PGCM computations. In order to make this type of study possible, this thesis explore the concept of PGCM emulator. In this work, a combination of PGCM with Eigenvector Continuation (EC) is constructed and studied. This combination (the PGCM-EC emulator) takes advantage of mathematical similarities between PGCM and EC, and above all of the decomposition of the hamiltonian as a linear combination of parameter-independent terms. The latter property is used to concentrate the heavier numerical cost in the computation of parameter-independent quantities (the elementary kernels), and open the feasability of massive PGCM emulations, the price being having first-handedly computed the costly elementary kernels. Limits of the emulator are also explored, by introducing the concept of over-training, which is exactly a consequence of the aproximativeness of a PGCM computation. Eventually this thesis demonstrates the possibility to emulate millions of PGCM computations with an error on collective spectroscopy less than 3%, and with a low numerical cost fraction of 1% of the million PGCM calculations cost." /> <meta name="citation_keywords" content="Theoritical nuclear structure;Many-body methods;Eigenvector Continuation;Emulation" /> <meta name="DC.subject" content="Theoritical nuclear structure;Many-body methods;Eigenvector Continuation;Emulation" /> <meta name="keywords" content="Theoritical nuclear structure;Many-body methods;Eigenvector Continuation;Emulation" /> <meta name="citation_keywords" content="Structure nucl茅aire th茅orique;Techniques 脿 N corps;Eigenvector Continuation;脡mulateurs" /> <meta name="DC.subject" content="Structure nucl茅aire th茅orique;Techniques 脿 N corps;Eigenvector Continuation;脡mulateurs" /> <meta name="keywords" content="Structure nucl茅aire th茅orique;Techniques 脿 N corps;Eigenvector Continuation;脡mulateurs" /> <meta name="citation_pdf_url" content="https://theses.hal.science/tel-04815246/document" /> <meta name="DC.identifier" content="https://theses.hal.science/tel-04815246/document" /> <meta property="og:url" content="https://theses.hal.science/tel-04815246/document" /> <meta name="citation_online_date" content="2024/12/02" /> <meta name="citation_publication_date" content="2024/10/15" /> <meta name="DC.date" content="2024/10/15" /> <meta name="DC.issued" content="2024/10/15" /> <meta name="citation_dissertation_institution" content="Universit茅 Paris-Saclay" /> <meta name="DC.publisher" content="Universit茅 Paris-Saclay" /> <link rel='http://www.w3.org/ns/ldp#inbox' href="https://inbox.hal.science/" /> <link href="//cdn.mathjax.org" rel="dns-prefetch" > <link rel="apple-touch-icon" sizes="180x180" href="/assets/favicon/apple-touch-icon.png"> <link rel="icon" type="image/png" sizes="32x32" href="/assets/favicon/favicon-32x32.png"> <link rel="icon" type="image/png" sizes="16x16" href="/assets/favicon/favicon-16x16.png"> <link rel="manifest" href="/assets/site.webmanifest"> <link rel="mask-icon" href="/assets/favicon/safari-pinned-tab.svg" color="#000092"> <meta name="msapplication-TileColor" content="#000092"> <meta name="theme-color" content="#ffffff"> <link rel="stylesheet" href="/assets/build/main.6bfe8fc6.css" /> <link href="https://cdnjs.cloudflare.com/ajax/libs/select2/4.0.13/css/select2.min.css" rel="stylesheet"> <link href="/assets/css/select2totree.css" rel="stylesheet"> <link rel="stylesheet" href="/public/style.ng.css?1732702908" /> <script src="/assets/js/translations.php?lang=fr"></script> <script src="/assets/build/runtime.763fa2e6.js"></script> <script src="/assets/build/main.68aa59c9.js"></script> <script src="//cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS-MML_HTMLorMML" async></script> <script type='text/x-mathjax-config'>MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['$$','$$']]}});</script><script src="https://cdnjs.cloudflare.com/ajax/libs/select2/4.0.13/js/select2.min.js"></script> <script src="/assets/js/select2totree.js"></script> <script src="/static/js/tarteaucitron/tarteaucitron.js"></script> <script src="/static/js/tarteaucitron4hal/tarteaucitron.servicesHAL.js"></script> <script type="text/javascript"> tarteaucitron.init({ "privacyUrl": "", /* Privacy policy url */ "hashtag": "#tarteaucitron", /* Open the panel with this hashtag */ "cookieName": "tarteaucitron", /* Cookie name */ "orientation": "top", /* Banner position (top - bottom) */ "showAlertSmall": true, /* Show the small banner on bottom right */ "cookieslist": true, /* Show the cookie list */ "adblocker": false, /* Show a Warning if an adblocker is detected */ "AcceptAllCta" : true, /* Show the accept all button when highPrivacy on */ "highPrivacy": false, /* Disable auto consent */ "handleBrowserDNTRequest": false, /* If Do Not Track == 1, disallow all */ "removeCredit": false, /* Remove credit link */ "moreInfoLink": true, /* Show more info link */ "useExternalCss": false, /* If false, the tarteaucitron.css file will be loaded */ "cookieDomain": "inria.hal.science", /* Shared cookie for multisite */ "readmoreLink": "/cookiespolicy", /* Change the default readmore link */ "closePopup": false, "showIcon": false, // Ne pas mettre showAlertSmall et showIcon a true en meme temps "DenyAllCta" : true, }); 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id="document" value="" class="input-flex form-control input-sm" lang="title_t" aria-describedby="document-error" style=" " data-keyword="1" /><span class="input-group-btn"><button type='button' class='btn btn-sm btn-primary form-btn-multi form-btn-add' onclick='MultiTextSimpleLangKeywordAdd(this, "qa");' data-toggle='tooltip' data-placement='right' data-original-title='Ajouter'><i class='icon icon-plus'></i> <span> Ajouter</span></button></span></div></div></div> <div class="form-group row " id="author-element"><label for="author" class="col-md-3 control-label optional">Auteur</label> <div class="col-md-9"><div class="input-group" style="margin-bottom : 10px;"><button class='btn btn-sm btn-default dropdown-toggle form-btn-lang' style=' z-index:0!important;' data-toggle='dropdown' type='button' value='auth_t'>Auteur (multicrit猫res) </button><ul class='dropdown-menu' role='menu' style='max-height: 140px; overflow:auto;'><li class='dropdown-item'><a data-val='auth_t' 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class='dropdown-item'><a data-val='authQuality_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Auteur : Fonction</a></li><li class='dropdown-item'><a data-val='authIdHal_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Auteur : personID (entier)</a></li><li class='dropdown-item'><a data-val='authOrganismId_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Auteur : Identifiant de l'organisme payeur</a></li><li class='dropdown-item'><a data-val='authStructId_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Auteur : Identifiant de la structure</a></li><li class='dropdown-item'><a data-val='director_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Directeur de th猫se</a></li><li class='dropdown-item'><a data-val='publisher_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">脡diteur</a></li><li class='dropdown-item'><a data-val='scientificEditor_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">脡diteur scientifique</a></li><li class='dropdown-item'><a data-val='seriesEditor_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">脡diteur de la s茅rie</a></li></ul> <input type="text" name="qa[auth_t][]" id="author" value="" class="input-flex form-control input-sm" lang="auth_t" aria-describedby="author-error" style=" " data-keyword="1" /><span class="input-group-btn"><button type='button' class='btn btn-sm btn-primary form-btn-multi form-btn-add' onclick='MultiTextSimpleLangKeywordAdd(this, "qa");' data-toggle='tooltip' data-placement='right' data-original-title='Ajouter'><i class='icon icon-plus'></i> <span> Ajouter</span></button></span></div></div></div> <div class="form-group row " id="structure-element"><label for="structure" class="col-md-3 control-label optional">Structure</label> <div class="col-md-9"><div class="input-group" style="margin-bottom : 10px;"><button class='btn btn-sm btn-default dropdown-toggle form-btn-lang' style=' z-index:0!important;' data-toggle='dropdown' type='button' value='structure_t'>Structure (multicrit猫res) </button><ul class='dropdown-menu' role='menu' style='max-height: 140px; overflow:auto;'><li class='dropdown-item'><a data-val='structure_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure (multicrit猫res)</a></li><li class='dropdown-item'><a data-val='structAcronym_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure : Acronyme</a></li><li class='dropdown-item'><a data-val='structName_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure : Nom</a></li><li class='dropdown-item'><a data-val='structCode_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure : Code</a></li><li class='dropdown-item'><a data-val='structCountry_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure : Pays</a></li><li class='dropdown-item'><a data-val='structType_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure : Type</a></li><li class='dropdown-item'><a data-val='structValid_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure : 脡tat dans le r茅f茅rentiel</a></li><li class='dropdown-item'><a data-val='structId_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure : Identifiant HAL de la structure</a></li><li class='dropdown-item'><a data-val='rteamStructCountry_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure/茅quipe de recherche : Pays</a></li><li class='dropdown-item'><a data-val='deptStructCountry_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure/regroupement d'茅quipes : Pays</a></li><li class='dropdown-item'><a data-val='labStructCountry_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure/laboratoire : Pays</a></li><li class='dropdown-item'><a data-val='rgrpLabStructCountry_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure/regroupement de laboratoires : Pays</a></li><li class='dropdown-item'><a data-val='instStructCountry_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure/institution : Pays</a></li><li class='dropdown-item'><a data-val='rgrpInstStructCountry_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Structure/regroupement d'institutions : Pays</a></li></ul> <input type="text" name="qa[structure_t][]" id="structure" value="" class="input-flex form-control input-sm" lang="structure_t" aria-describedby="structure-error" style=" " data-keyword="1" /><span class="input-group-btn"><button type='button' class='btn btn-sm btn-primary form-btn-multi form-btn-add' onclick='MultiTextSimpleLangKeywordAdd(this, "qa");' data-toggle='tooltip' data-placement='right' data-original-title='Ajouter'><i class='icon icon-plus'></i> <span> Ajouter</span></button></span></div></div></div> <div class="form-group row " id="qa-element"><label for="qa" class="col-md-3 control-label optional">Autres</label> <div class="col-md-9"><div class="input-group" style="margin-bottom : 10px;"><button class='btn btn-sm btn-default dropdown-toggle form-btn-lang' style=' z-index:0!important;' data-toggle='dropdown' type='button' value='text'>Champ de recherche par d茅faut (multicrit猫res) </button><ul class='dropdown-menu' role='menu' style='max-height: 140px; overflow:auto;'><li class='dropdown-item'><a data-val='text' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Champ de recherche par d茅faut (multicrit猫res)</a></li><li class='dropdown-item'><a data-val='--sep1' href='javascript:void(0);' onclick="LangInit(this, 'qa');"></a></li><li class='dropdown-item'><a data-val='journal_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Revues (multicrit猫res)</a></li><li class='dropdown-item'><a data-val='journalPublisher_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Revue : 脡diteur</a></li><li class='dropdown-item'><a data-val='journalTitleAbbr_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Revue : Titre abr茅g茅</a></li><li class='dropdown-item'><a data-val='journalTitle_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Revue : Titre</a></li><li class='dropdown-item'><a data-val='journalId_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Revue : Identifiant interne</a></li><li class='dropdown-item'><a data-val='journalDate_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Revue : Date de d茅but de publication</a></li><li class='dropdown-item'><a data-val='journalEissn_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Revue : ISSN 茅lectronique</a></li><li class='dropdown-item'><a data-val='journalIssn_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Revue : ISSN</a></li><li class='dropdown-item'><a data-val='journalPublisher_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Revue : 脡diteur</a></li><li class='dropdown-item'><a data-val='journalSherpaColor_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Revue : Couleur dans SHERPA/RoMEO</a></li><li class='dropdown-item'><a data-val='journalValid_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Revue : 脡tat dans le r茅f茅rentiel</a></li><li class='dropdown-item'><a data-val='--sep2' href='javascript:void(0);' onclick="LangInit(this, 'qa');"></a></li><li class='dropdown-item'><a data-val='conference_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Colloque (multicrit猫res)</a></li><li class='dropdown-item'><a data-val='conferenceTitle_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Colloque : Titre</a></li><li class='dropdown-item'><a data-val='conferenceOrganizer_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Colloque : Organisateur</a></li><li class='dropdown-item'><a data-val='conferenceStartDateY_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Colloque : date de d茅but (Ann茅e)</a></li><li class='dropdown-item'><a data-val='conferenceEndDateY_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Colloque : date de fin (Ann茅e)</a></li><li class='dropdown-item'><a data-val='invitedCommunication_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Conf茅rence invit茅e (oui/non)</a></li><li class='dropdown-item'><a data-val='--sep3' href='javascript:void(0);' onclick="LangInit(this, 'qa');"></a></li><li class='dropdown-item'><a data-val='anrProject_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projets ANR (multicrit猫res)</a></li><li class='dropdown-item'><a data-val='anrProjectAcronym_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet ANR : Acronyme</a></li><li class='dropdown-item'><a data-val='anrProjectAcronymProgram_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet ANR : Acronyme du programme</a></li><li class='dropdown-item'><a data-val='anrProjectReference_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet ANR : Code d茅cision (r茅f茅rence)</a></li><li class='dropdown-item'><a data-val='anrProjectTitle_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet ANR : Nom</a></li><li class='dropdown-item'><a data-val='anrProjectId_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet ANR : Identifiant interne</a></li><li class='dropdown-item'><a data-val='anrProjectValid_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet ANR : 脡tat dans le r茅f茅rentiel</a></li><li class='dropdown-item'><a data-val='--sep4' href='javascript:void(0);' onclick="LangInit(this, 'qa');"></a></li><li class='dropdown-item'><a data-val='europeanProject_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projets europ茅ens (multicrit猫res)</a></li><li class='dropdown-item'><a data-val='europeanProjectAcronym_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet europ茅en : Acronyme</a></li><li class='dropdown-item'><a data-val='europeanProjectCallId_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet europ茅en : Identifiant de l'appel 脿 projet</a></li><li class='dropdown-item'><a data-val='europeanProjectReference_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet europ茅en : R茅f茅rence</a></li><li class='dropdown-item'><a data-val='europeanProjectTitle_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet europ茅en : Nom</a></li><li class='dropdown-item'><a data-val='europeanProjectEndDate_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet europ茅en : Date de fin</a></li><li class='dropdown-item'><a data-val='europeanProjectFinancing_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet europ茅en : Financement</a></li><li class='dropdown-item'><a data-val='europeanProjectStartDate_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet europ茅en : Date de d茅but</a></li><li class='dropdown-item'><a data-val='europeanProjectValid_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet europ茅en : 脡tat dans le r茅f茅rentiel</a></li><li class='dropdown-item'><a data-val='europeanProjectId_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Projet europ茅en : Identifiant interne</a></li><li class='dropdown-item'><a data-val='--sep6' href='javascript:void(0);' onclick="LangInit(this, 'qa');"></a></li><li class='dropdown-item'><a data-val='producedDateY_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Date de production : ann茅e</a></li><li class='dropdown-item'><a data-val='releasedDateY_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Date de mise en ligne : ann茅e</a></li><li class='dropdown-item'><a data-val='publicationDateY_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Date de publication : ann茅e</a></li><li class='dropdown-item'><a data-val='writingDateY_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Date d'茅criture : ann茅e</a></li><li class='dropdown-item'><a data-val='modifiedDateY_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Date de modification du d茅p么t : ann茅e</a></li><li class='dropdown-item'><a data-val='submittedDateY_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Date de d茅p么t : ann茅e</a></li><li class='dropdown-item'><a data-val='ePublicationDateY_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Date de publication 茅lectronique : ann茅e</a></li><li class='dropdown-item'><a data-val='--sep7' href='javascript:void(0);' onclick="LangInit(this, 'qa');"></a></li><li class='dropdown-item'><a data-val='collection_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Collection HAL (multicrit猫res)</a></li><li class='dropdown-item'><a data-val='collCategory_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Collection HAL : cat茅gorie</a></li><li class='dropdown-item'><a data-val='collCode_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Collection HAL : Code</a></li><li class='dropdown-item'><a data-val='collName_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Collection HAL : Nom</a></li><li class='dropdown-item'><a data-val='collId_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Collection HAL : Identifiant interne</a></li><li class='dropdown-item'><a data-val='--sep8' href='javascript:void(0);' onclick="LangInit(this, 'qa');"></a></li><li class='dropdown-item'><a data-val='contributorId_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Identifiant interne du contributeur/d茅posant</a></li><li class='dropdown-item'><a data-val='contributorFullName_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Nom complet du contributeur/d茅posant</a></li><li class='dropdown-item'><a data-val='--sep9' href='javascript:void(0);' onclick="LangInit(this, 'qa');"></a></li><li class='dropdown-item'><a data-val='domain_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Domaines</a></li><li class='dropdown-item'><a data-val='primaryDomain_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Domaine primaire</a></li><li class='dropdown-item'><a data-val='level0_domain_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Domaine racine</a></li><li class='dropdown-item'><a data-val='level1_domain_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Sous-domaine niveau 1</a></li><li class='dropdown-item'><a data-val='level2_domain_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Sous-domaine niveau 2</a></li><li class='dropdown-item'><a data-val='level3_domain_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Sous-domaine niveau 3</a></li><li class='dropdown-item'><a data-val='--sep10' href='javascript:void(0);' onclick="LangInit(this, 'qa');"></a></li><li class='dropdown-item'><a data-val='status_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Statut du document</a></li><li class='dropdown-item'><a data-val='version_i' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Version du document</a></li><li class='dropdown-item'><a data-val='submitType_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Type de d茅p么t</a></li><li class='dropdown-item'><a data-val='docType_s' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Type de document</a></li><li class='dropdown-item'><a data-val='isbn_id' href='javascript:void(0);' onclick="LangInit(this, 'qa');">ISBN</a></li><li class='dropdown-item'><a data-val='number_id' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Num茅ro - r茅f茅rence</a></li><li class='dropdown-item'><a data-val='doiId_id' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Identifiant DOI</a></li><li class='dropdown-item'><a data-val='--sep11' href='javascript:void(0);' onclick="LangInit(this, 'qa');"></a></li><li class='dropdown-item'><a data-val='classification_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Classification</a></li><li class='dropdown-item'><a data-val='audience_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Audience</a></li><li class='dropdown-item'><a data-val='popularLevel_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Vulgarisation</a></li><li class='dropdown-item'><a data-val='peerReviewing_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Comit茅 de lecture - texte (oui ou non)</a></li><li class='dropdown-item'><a data-val='proceedings_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Actes de colloque</a></li><li class='dropdown-item'><a data-val='localReference_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">R茅f茅rence interne</a></li><li class='dropdown-item'><a data-val='funding_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Financement</a></li><li class='dropdown-item'><a data-val='collaboration_t' href='javascript:void(0);' onclick="LangInit(this, 'qa');">Collaborations</a></li></ul> <input type="text" name="qa[text][]" id="qa" value="" lang="text" class=" form-control input-sm" aria-describedby="qa-error" style=" " data-keyword="1" /><span class="input-group-btn"><button type='button' class='btn btn-sm btn-primary form-btn-multi form-btn-add' onclick='MultiTextSimpleLangKeywordAdd(this, "qa");' data-toggle='tooltip' data-placement='right' data-original-title='Ajouter'><i class='icon icon-plus'></i> <span> Ajouter</span></button></span></div></div></div> <dt id="submit-label"> </dt><dd id="submit-element"> <button name="submit" id="submit-button" type="submit" value=" Lancer la recherche" class="btn btn-lg btnSearch hal-visualize-button" aria-describedby="submit-button-error"> Lancer la recherche</button></dd></form> <div class="mt-3"> <button class="tools-color btn-hide-show" data-selectOne="#solrSearchHeader" data-selectTwo="#advSearchHeader"> <span>Recherche experte (SolR)</span> </button> </div> </div> <div id="solrSearchHeader" class="hide"> <h3> Recherche experte (SolR)</h3> <form action="/search/index" method="get" id="searchHeaderSolr" name="search-simple" role="search"> <textarea type="text" name="q" class="p-5" autocomplete="off" cols="150" placeholder="Chercher un document, un auteur, un mot clef..." value=""></textarea> <div> <button type="submit" aria-label="Rechercher" class="hal-visualize-button"> <span class="icon-search" aria-hidden="true"></span> <span>Lancer la recherche</span> </button> </div> </form> <div class="mt-3"> <button class="tools-color btn-hide-show" data-selectOne="#solrSearchHeader" data-selectTwo="#advSearchHeader"> <span>Vers la recherche avanc茅e</span> </button> </div> </div> </div> </div> </li> <li id="ssheader-submit" class="btn-primary-orange position-relative"> <a href="/submit/index" class="btn-hal hal-submit-button btn-primary-orange stretched-link"> <span class="icon-add colo-white" aria-hidden="true"></span> <span> D茅poser </span> </a> </li> </ul> 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class="ml-2 mb-1 close" data-dismiss="toast" aria-label="Close"> <span aria-hidden="true">×</span> </button> </div> </div> <script type="text/javascript"> $(document).ready(function() { }); </script> <section class="section-corps row"> <div id="flash-messages"></div> <section class="col-12 col-md-9 order-sm-12 flex-74"> <div class="header-section"> <span class="typdoc label_THESE">Th猫se </span> <span class="year strong">Ann茅e : 2024</span> </div> <div class="section-content section-shadow"> <div style="display: flex; justify-content: space-between;"> <div style="display: flex; align-items: center;"> <h2 class="title-lang en active" lang="en" style="margin-bottom: 0;">Emulation of PGCM calculations using the Eigenvector continuation method</h2> <h2 class="title-lang fr " lang="fr" style="margin-bottom: 0;">脡mulation de calculs PGCM avec la m茅thode Eigenvector Continuation</h2> <div class="btn-group btn-group-lang" role="group" aria-label="Choix langues" style="align-items: unset;"> <button class="btn btn-lang-title active" aria-pressed="true" data-lang="en"> en </button> <button class="btn btn-lang-title " aria-pressed="false" data-lang="fr"> fr </button> </div> </div> <div> <span style="margin-left: 2%; margin-right: 3%"></span> </div> </div> <span></span> <div id="authors-simplified"> <div class="authors"> <a type="button" data-toggle="popover" class="btn-popover no-hide" data-container="body" data-placement="right" data-title="" data-content=" <div class='popover-authors'> <div class='popover-author-header'> <h4>Auteur</h4> <ul> <li>Fonction : <strong>Auteur</strong></li> <li>PersonId : <strong>1453229</strong></li> <li>IdRef : <strong><a href="https://www.idref.fr/281376727" title="IdRef" target="_blank">281376727</a></strong></li> </ul> </div> <a class='popover-affil' href="/search/index/q/*/structId_i/1055206">Laboratoire Mati猫re sous Conditions Extr锚mes</a> <a href="/search/index/q/*/authIdHal_i/1453229" title="Search author" target="_blank"> <div class='popover-resume hal-privilege-button'> <span class='icon-search hal-icon'></span> Chercher dans HAL </div> </a> </div> "> <span>Antoine Roux</span> </a> (1) </div> <button type="button" class="btn btn-hide-show" data-selectOne="#authors-simplified" data-selectTwo="#authors-detailed">Afficher plus de d茅tails</button> <div class="structures bg-beige"> <div> <span class="icon-institution" aria-hidden="true"></span> </div> <div> <span>1</span> <a type="button" data-toggle="popover" class="btn-popover no-hide close-outside" data-container="body" data-placement="right" data-title="" data-content="<div class='popover-structure'><a href='/search/index/q/*/structId_i/1055206' target='_blank'>LMCE - Laboratoire Mati猫re sous Conditions Extr锚mes</a><small> (CEA Bruy猫res-le-Ch芒tel 91297 Arpajon cedex - France)</small> <label class='label label-primary label-VALID'>1055206</label><ul><li><a href='/search/index/q/*/structId_i/119523' target='_blank'>DAM/DIF - DAM 脦le-de-France</a><small> (CEA Bruy猫res-le-Ch芒tel 91297 Arpajon cedex - France)</small> <label class='label label-primary label-VALID'>119523</label><ul><li><a href='/search/index/q/*/structId_i/5981' target='_blank'>DAM - Direction des Applications Militaires</a> : DAM/DIF<small> (France)</small> <label class='label label-primary label-VALID'>5981</label><ul><li><a href='/search/index/q/*/structId_i/300016' target='_blank'>CEA - Commissariat 脿 l'茅nergie atomique et aux 茅nergies alternatives</a> : DAM<small> (Centre de Saclay Centre de Grenoble Centre de Cadarache etc - France)</small> <label class='label label-primary label-VALID'>300016</label></li></ul></li></ul></li><li><a href='/search/index/q/*/structId_i/419361' target='_blank'>Universit茅 Paris-Saclay</a><small> (B芒timent Br茅guet, 3 Rue Joliot Curie 2e 茅t, 91190 Gif-sur-Yvette - France)</small> <label class='label label-primary label-VALID'>419361</label></li></ul></div>"> LMCE - Laboratoire Mati猫re sous Conditions Extr锚mes </a> <br> </div> </div> </div> <div id="authors-detailed"> <div class="container"> <div class="row"> <div class="col-lg-4"> <div class="bg-beige"> <a href="/search/index/q/*/authIdHal_i/1453229" target="_blank">Antoine Roux</a> <ul> <li>Fonction : <strong>Auteur</strong></li> <li>PersonId : <strong>1453229</strong></li> <li>IdRef : <strong><a href="https://www.idref.fr/281376727" title="IdRef" target="_blank">281376727</a></strong></li> </ul> <div class='detailed-affil'> <span class='icon-institution hal-icon'></span> <a href="/search/index/q/*/structId_i/1055206">Laboratoire Mati猫re sous Conditions Extr锚mes</a> </div> </div> </div> </div> </div> <button type="button" class="btn btn-hide-show" data-selectOne="#authors-simplified" data-selectTwo="#authors-detailed" style="margin-top: 22px;">R茅duire la vue d茅taill茅e</button> </div> <div class="row" style="width: 102%;"> <div class="abstract col-lg-7"> <div> <h4> R茅sum茅 </h4> <div class="btn-group" role="group" aria-label="Choix langues"> <button class="btn btn-lang-abstract active" aria-pressed="true" data-lang="en"> en </button> <button class="btn btn-lang-abstract " aria-pressed="false" data-lang="fr"> fr </button> </div> </div> <div class="abstract-content en active" lang="en"> An atomic nucleus is a quantum system of interacting nucleons and constitutes a problem difficult to solve exactly. For this reason, a diversity of approximate resolution methods has been designed, and Projected Generator Coordinate Method (PGCM) is one of them. The strong point of PGCM is to construct a physically inspired small dimensional space, in which an approximate solution of the nuclear many-body problem is easily found. However the numerical cost of PGCM space computation make this method inadapted for sensibility analysis of nuclear observables with restect to parametrisation of the interaction model, this analysis requiring an huge number of PGCM computations. In order to make this type of study possible, this thesis explore the concept of PGCM emulator. In this work, a combination of PGCM with Eigenvector Continuation (EC) is constructed and studied. This combination (the PGCM-EC emulator) takes advantage of mathematical similarities between PGCM and EC, and above all of the decomposition of the hamiltonian as a linear combination of parameter-independent terms. The latter property is used to concentrate the heavier numerical cost in the computation of parameter-independent quantities (the elementary kernels), and open the feasability of massive PGCM emulations, the price being having first-handedly computed the costly elementary kernels. Limits of the emulator are also explored, by introducing the concept of over-training, which is exactly a consequence of the aproximativeness of a PGCM computation. Eventually this thesis demonstrates the possibility to emulate millions of PGCM computations with an error on collective spectroscopy less than 3%, and with a low numerical cost fraction of 1% of the million PGCM calculations cost. </div> <div class="abstract-content fr " lang="fr"> Le noyau atomique, syst猫me quantique de nucl茅ons en interaction, constitue un probl猫me difficle 脿 r茅soudre exactement. Pour contourner cette difficult茅, des m茅thodes de r茅solution approch茅es on 茅t茅 introduites, comme la Projected Generator Coordinate Method (PGCM). La force de la PGCM est de construire un espace de faible dimension, motiv茅 par des consid茅rations physiques, dans lequel trouver un solution approch茅e est facile. Cependant, le co没t num茅rique du calcul d'un espace PGCM rend cette m茅thode mal adapt茅e pour une 茅tude statistique de sensibilit茅 des observables nucl茅aires vis-脿-vis des param猫tres du mod猫le d'interaction, laquelle n茅cessite un grand nombre de calculs PGCM. Afin de rendre ce type d'茅tudes possibles, cette th猫se explore la notion d'茅mulateur PGCM. Dans ce travail, une combinaison de PGCM avec la m茅thode Eigenvector Continuation (EC) est construite et 茅tudi茅e. Cette combinaison (l'茅mulateur PGCM-EC) tire parti des ressemblances formelles entre PGCM et EC, et surtout de la possibilit茅 de d茅composer l'hamiltonien comme combinaison lin茅aire de termes ind茅pendants des param猫tres du mod猫le d'interaction. Cette derni猫re propri茅t茅 permet de concentrer la plus grande partie du co没t num茅rique sur le calcul de quantit茅s ind茅pendantes des param猫tres de l'interaction (les kernels 茅l茅mentaires), et ainsi rend possible l'茅mulation massive de calculs PGCM, au prix d'avoir en amont effectu茅 le calcul tr猫s lourd des kernels 茅l茅mentaires. Les limites de cet 茅mulateur sont aussi 茅tudi茅es, en introduisant notamment la notion de sur-entra卯nement, qui provient pr茅cis茅ment du fait que la PGCM est une m茅thode non-exacte de r茅solution du probl猫me 脿 N-corps nucl茅aire. Cette th猫se d茅montre au final qu'il est possible d'茅muler des millions de calculs PGCM avec une erreur ne d茅passant pas 3% sur la spectroscopie collective des noyaux, et avec un faible co没t num茅rique repr茅sentant une fraction de 1% du co没t des millions de calculs PGCM. </div> </div> <div class="col-lg-5"> <div class="keywords"> <div> <h4> Mots cl茅s </h4> <div class="btn-group" role="group" aria-label="Choix langues" style="align-items: unset;"> <button class="btn btn-lang-keywords active" aria-pressed="true" data-lang="en"> en </button> <button class="btn btn-lang-keywords " aria-pressed="false" data-lang="fr"> fr </button> </div> <div class="keys-lang en active" data-lang="en"> <a class="hal-bgtext" href="/search/index/q/*/keyword_t/Theoritical%20nuclear%20structure" target="_blank" rel="nofollow">Theoritical nuclear structure</a> <a class="hal-bgtext" href="/search/index/q/*/keyword_t/Many-body%20methods" target="_blank" rel="nofollow">Many-body methods</a> <a class="hal-bgtext" href="/search/index/q/*/keyword_t/Eigenvector%20Continuation" target="_blank" rel="nofollow">Eigenvector Continuation</a> <a class="hal-bgtext" href="/search/index/q/*/keyword_t/Emulation" target="_blank" rel="nofollow">Emulation</a> </div> <div class="keys-lang fr " data-lang="fr"> <a class="hal-bgtext" href="/search/index/q/*/keyword_t/Structure%20nucl茅aire%20th茅orique" target="_blank" rel="nofollow">Structure nucl茅aire th茅orique</a> <a class="hal-bgtext" href="/search/index/q/*/keyword_t/Techniques%20脿%20N%20corps" target="_blank" rel="nofollow">Techniques 脿 N corps</a> <a class="hal-bgtext" href="/search/index/q/*/keyword_t/Eigenvector%20Continuation" target="_blank" rel="nofollow">Eigenvector Continuation</a> <a class="hal-bgtext" href="/search/index/q/*/keyword_t/脡mulateurs" target="_blank" rel="nofollow">脡mulateurs</a> </div> </div> </div> <div class="domains"> <h4> Domaines </h4> <a class="hal-bgtext" href="/search/index/q/*/level1_domain_s/phys.nucl" rel="nofollow" target="_blank">Physique Nucl茅aire Th茅orique [nucl-th]</a> </div> <button data-toggle="modal" data-docid="4815246" data-target="#metadatas_Modal" aria-expanded="false" aria-controls="metadatas_Modal" class="btn hal-option-button metadatas" style="margin-top: 48px; width: 100%;"> Liste compl猫te des m茅tadonn茅es </button> <div class="modal fade" id="metadatas_Modal" data-backdrop=true tabindex="-1" aria-labelledby="metadatas_ModalLabel" aria-hidden="true" role="dialog"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-body" id="metadata-body" style="padding: 0;"></div> </div> </div> </div> </div> </div> <div class="viewer panel-doc d-none d-sm-block"> <button data-toggle="collapse" data-docid="4815246" data-target="#viewer-detailed" aria-expanded="true" aria-controls="viewer-detailed" class="btn drop-down"> Fichiers et aper莽u <span class="icon-drop_down hal-icon" aria-hidden="true"></span> </button> <div id="viewer-detailed" class="panel-doc-detailed collapse show"> <div class="row"> <div class="col-md-2"> <div id="list-thumbnail-viewer" style="text-align: center;"> <span class='file-major'>Fichier principal</span> <div class="position-relative thumbnail-viewer active" data-id="4194608" data-preview="https://theses.hal.science/tel-04815246v1/preview/137727_ROUX_2024_archivage.pdf#page=2"> <img alt="Vignette du fichier" src="//thumb.ccsd.cnrs.fr/9571237/medium" style="width: 100%;"> </div> <span> 137727_ROUX_2024_archivage.pdf (1.86 Mo) </span> <a href="https://theses.hal.science/tel-04815246v1/file/137727_ROUX_2024_archivage.pdf" download="137727_ROUX_2024_archivage.pdf"><span class="icon-download" aria-hidden="true"></span><span class="sr-only">T茅l茅charger le fichier</span> </a> </div> </div> <div class="col-md-9 pb-4"> <div class="viewer-content active" id="4194608"> <iframe src="https://theses.hal.science/tel-04815246v1/preview/137727_ROUX_2024_archivage.pdf#page=2" allowfullscreen webkitallowfullscreen></iframe> <table class="table table-borderless"> <tbody> <tr> <th scope="row">Origine</th> <td> Version valid茅e par le jury (STAR) </td> </tr> </tbody> </table> </div> </div> </div> </div> </div> </div> <div class="submitted-date d-none d-sm-block"> <p> <a rel="nofollow" href="/search/index/q/*/contributorId_i/131274" target="_blank">ABES STAR</a>  :  <a class="AbesLink" title="Les d茅p么ts ABES sont des d茅p么ts institutionnels qui proviennent de l'application nationale STAR, plac茅e sous la responsabilit茅 des 茅tablissements de soutenance. Pour toute demande d'information/modification, merci de contacter le correspondant STAR de cet 茅tablissement en cliquant sur le bouton 芦signaler une erreur禄 depuis ce lien" href="https://www.theses.fr/2024UPASP114"> Contact </a> </p> <p>https://theses.hal.science/tel-04815246</p> <p>Soumis le : lundi 2 d茅cembre 2024-18:43:06</p> <p>Derni猫re modification le : lundi 2 d茅cembre 2024-18:43:07</p> </div> </section> <section class="col-12 col-md-3 order-sm-1"> <div class="section-content section-shadow hal-visualize-button widget-files"> <a href="https://theses.hal.science/tel-04815246v1/document" target="_blank"> <div class="file d-flex align-items-center justify-content-center"> <i class="icon-download hal-icon mr-4" aria-hidden="true"></i> <span>T茅l茅charger pour visualiser</span> </div> </a> </div> <div class="section-content section-shadow"> <h3> Dates et versions</h3> <div class="bg-beige versions pt-1 pb-1"> <span>tel-04815246 ,</span> <span><a href="https://theses.hal.science/tel-04815246v1"> version 1</a></span> <span>(02-12-2024)</span> </div> <h3 style="margin-top: 10px;"> Identifiants</h3> <div class="identifier-list"> <ul> <li> <span> HAL Id : </span> <span> tel-04815246 , version 1 </span> </li> </ul> </div> </div> <div class="section-content section-shadow"> <div style="display: flex; justify-content: space-between; align-items: center;"> <h3> Citer</h3> <button id="citation-button" class="hal-option-button" style="padding: 6px 12px;"><span class="icon-copy"></span></button> </div> <div class="bg-beige p-2" id="citation"> Antoine Roux. Emulation of PGCM calculations using the Eigenvector continuation method. Nuclear Theory [nucl-th]. Universit茅 Paris-Saclay, 2024. English. <a target="_blank" href="https://www.theses.fr/2024UPASP114">⟨NNT : 2024UPASP114⟩</a>. <a target="_blank" href="https://theses.hal.science/tel-04815246v1">⟨tel-04815246⟩</a> </div> </div> <div class="section-content section-shadow section-export"> <h3> Exporter</h3> <a class="hal-bgtext size-regular" href="https://theses.hal.science/tel-04815246v1/bibtex" target="_blank" style="white-space: nowrap;">BibTeX</a> <a class="hal-bgtext size-regular" href="https://theses.hal.science/tel-04815246v1/tei" target="_blank" style="white-space: nowrap;">XML-TEI</a> <a class="hal-bgtext size-regular" href="https://theses.hal.science/tel-04815246v1/dc" target="_blank" style="white-space: nowrap;">Dublin Core</a> <a class="hal-bgtext size-regular" href="https://theses.hal.science/tel-04815246v1/dcterms" target="_blank" style="white-space: nowrap;">DC Terms</a> <a class="hal-bgtext size-regular" href="https://theses.hal.science/tel-04815246v1/endnote" target="_blank" style="white-space: nowrap;">EndNote</a> <a class="hal-bgtext size-regular" href="https://theses.hal.science/tel-04815246v1/datacite" target="_blank" style="white-space: nowrap;">DataCite</a> </div> <div class="section-content section-shadow section-collection"> <h3> Collections</h3> <div> <a class="hal-bgtext size-regular" href="/STAR" target="_blank"> STAR</a> </div> </div> <div class="section-content section-shadow" id="metrics"> <div class="row"> <div class="metrics-views col-6"> <span> 0 </span> <span>Consultations</span> </div> <div class="metrics-views col-6"> <span> 0 </span> <span>T茅l茅chargements</span> </div> </div> </div> <div class="section-content section-shadow"> <h3> Partager</h3>   <div class="a2a_kit a2a_kit_size_32 a2a_default_style" > <a class="a2a_button_google_gmail"></a><span class="sr-only"> </span> <a class="a2a_button_mastodon"></a><span class="sr-only"> </span> <a class="a2a_button_facebook"></a><span class="sr-only"> </span> <a class="a2a_button_x"></a><span class="sr-only"> </span> <a class="a2a_button_linkedin"></a><span class="sr-only"> </span> <a class="a2a_dd" href="https://www.addtoany.com/share"></a><span class="sr-only"> More </span> </div>  <script async src="https://static.addtoany.com/menu/page.js"></script>  </div> </section> </section> <script type="text/javascript"> $(function () { linkifyElem ('.linkify'); }); </script> </main> <footer id="footer"> <div class="row" style="margin: 0;"> <div class="col-sm-4 col-md-2"> <p>Contact</p> <ul> <li><a id="link67234ebedb374" class="link-mail" title="archive-ouverte@inria.fr" href="mailto:archive-ouverte@inria.fr" data-mail="nepuvir-bhiregr@vaevn.se" data-text="" data-toggle="tooltip">archive-ouverte@inria.fr</a></li> </ul> <p class="footer-logo"><a href="https://inria.fr/fr" target="_blank" rel="noopener noreferrer"><img src="https://inria.hal.science/public/inria_logo_footer.png" alt="intranet inria" /></a></p> </div> <div class="col-sm-4 col-md-2"> <p>Ressources</p> <ul> <li><a href="//doc.archives-ouvertes.fr/" target="_blank" rel="noopener"> Documentation </a></li> <li><a href="//doc.archives-ouvertes.fr/faq" target="_blank" rel="noopener"> FAQ </a></li> <li><a href="https://api.archives-ouvertes.fr/docs" target="_blank" rel="noopener"> API </a></li> <li><a href="https://api.archives-ouvertes.fr/docs/oai" target="_blank" rel="noopener"> OAI-PMH </a></li> <li><a href="https://aurehal.archives-ouvertes.fr" target="_blank" rel="noopener"> AuréHAL </a></li> </ul> </div> <div class="col-sm-4 col-md-2"> <p>Informations</p> <ul> <li><a href="https://about.hal.science" target="_blank" rel="noopener"> À propos </a></li> <li><a href="https://about.hal.science/privacy-policy" target="_blank" rel="noopener"> Données personnelles </a></li> <li><a href="https://about.hal.science/legal-notice/" target="_blank" rel="noopener"> Mentions légales </a></li> <li><a href="https://about.hal.science/web-accessibility/" target="_blank" rel="noopener"> Accessibilité </a></li> <li><a href="https://about.hal.science/RGAA-compliance/" target="_blank" rel="noopener"> Conformité RGAA </a></li> </ul> </div> <div class="col-sm-4 col-md-2"> <p>Questions juridiques</p> <ul> <li><a href="https://www.ouvrirlascience.fr/je-publie-quels-sont-mes-droits/" target="_blank" rel="noopener"> Je publie, quels sont mes droits ? 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Emulation of PGCM calculations using the Eigenvector continuation method - Inria - Institut national de recherche en sciences et technologies du num茅rique