{"id":9013,"date":"2023-06-06T16:00:38","date_gmt":"2023-06-06T14:00:38","guid":{"rendered":"https:\/\/fermi.univ-tlse3.fr\/?post_type=tribe_events&#038;p=9013"},"modified":"2023-06-12T14:17:21","modified_gmt":"2023-06-12T12:17:21","slug":"tba-anna-francuz-lpt-seminar-13-06-2023-14h","status":"publish","type":"tribe_events","link":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\/","title":{"rendered":"Automatic differentiation in iPEPS simulations : unravelling the black box . &#8211; (Anna Francuz \/ LPT \/ Seminar). &#8211; 13\/06\/2023, 14H"},"content":{"rendered":"<p><span style=\"font-size: 20px;\"><span style=\"color: #191970;\"><strong>Anna Francuz <\/strong><\/span>(Universit\u00e9 de Vienne)<\/span><\/p>\n<p><span style=\"background-color: #cecece;\">Seminar LPT, 13\/06\/2023, 14H, 3R1, seminar room, 3rd floor<\/span><\/p>\n<p><strong>Summary :<\/strong><\/p>\n<p>Tensor networks have already proven to be extremely useful tools in the studies of strongly correlated quantum systems. Being immune to the sign problem, they enable calculations beyond Quantum Monte Carlo and directly in the thermodynamic limit. The most established and understood tensor network method is density matrix renormalization group (DMRG), while all others, including projected entangled pair states (PEPS) seemed to remain far behind until recently, when an automatic differentiation framework was established. This toolbox, originally developed for the deep learning purposes, enables a simple calculation of exact derivatives in an optimization problem at hand and hence bridges the gap between DMRG and PEPS simulations. I will try to deliver a multi-level talk, starting with a comprehensive introduction of tensor network methods with focus on iPEPS before delving into details of derivative calculation for optimization purposes. On the example of Corner Transfer Matrix (CTM) I will explain the idea of algorithmic differentiation, present possible challenges and show ways to overcome them.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<div class=\"leaflet-map WPLeafletMap\" style=\"height:300px; width:80%;\"><\/div><script>\nwindow.WPLeafletMapPlugin = window.WPLeafletMapPlugin || [];\nwindow.WPLeafletMapPlugin.push(function WPLeafletMapShortcode() {\/*<script>*\/\nvar baseUrl = atob('aHR0cHM6Ly97c30udGlsZS5vcGVuc3RyZWV0bWFwLm9yZy97en0ve3h9L3t5fS5wbmc=');\nvar base = (!baseUrl && window.MQ) ?\n    window.MQ.mapLayer() : L.tileLayer(baseUrl,\n        L.Util.extend({}, {\n            detectRetina: 0,\n        },\n        {\"subdomains\":\"abc\",\"noWrap\":false,\"maxZoom\":18}        )\n    );\n    var options = L.Util.extend({}, {\n        layers: [base],\n        attributionControl: false\n    },\n    {\"zoomControl\":true,\"scrollWheelZoom\":true,\"doubleClickZoom\":true,\"fitBounds\":true,\"minZoom\":9,\"maxZoom\":18,\"maxBounds\":null,\"attribution\":\"<a href=\\\"http:\\\/\\\/leafletjs.com\\\" title=\\\"Une biblioth\\u00e8que JS pour des cartes interactives\\\">Leaflet<\\\/a>; \\u00a9 <a href=\\\"http:\\\/\\\/www.openstreetmap.org\\\/copyright\\\">OpenStreetMap<\\\/a> contributeurs\"},\n    {});\nwindow.WPLeafletMapPlugin.createMap(options).setView([43.560705280387,1.4674275538563],16);window.WPLeafletMapPlugin.createScale({});});<\/script>\n<script>\nwindow.WPLeafletMapPlugin = window.WPLeafletMapPlugin || [];\nwindow.WPLeafletMapPlugin.push(function WPLeafletMarkerShortcode() {\/*<script>*\/\nvar map = window.WPLeafletMapPlugin.getCurrentMap();\nvar group = window.WPLeafletMapPlugin.getCurrentGroup();\nvar marker_options = window.WPLeafletMapPlugin.getIconOptions({});\nvar marker = L.marker(\n    [0,0],\n    marker_options\n);\nvar is_image = map.is_image_map;\n    marker.setLatLng( map.getCenter() );\nif (marker_options.draggable) {\n    marker.on('dragend', function () {\n        var latlng = this.getLatLng();\n        var lat = latlng.lat;\n        var lng = latlng.lng;\n        if (is_image) {\n            console.log('leaflet-marker y=' + lat + ' x=' + lng);\n        } else {\n            console.log('leaflet-marker lat=' + lat + ' lng=' + lng);\n        }\n    });\n}\nmarker.addTo( group );\nmarker.bindPopup(window.WPLeafletMapPlugin.unescape('Seminar room, 3R1'));window.WPLeafletMapPlugin.markers.push( marker );\n        });<\/script>\n","protected":false},"excerpt":{"rendered":"<p>Anna Francuz (Universit\u00e9 de Vienne) Seminar LPT, 13\/06\/2023, 14H, 3R1, seminar room, 3rd floor Summary : Tensor networks have already proven to be extremely useful tools in the studies of&hellip;&nbsp;<a href=\"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\/\" rel=\"bookmark\">Lire la suite &raquo;<span class=\"screen-reader-text\">Automatic differentiation in iPEPS simulations : unravelling the black box . &#8211; (Anna Francuz \/ LPT \/ Seminar). &#8211; 13\/06\/2023, 14H<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"template":"","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[48,313,233],"class_list":["post-9013","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-events","tribe_events_cat-lpt","tribe_events_cat-seminars","cat_events","cat_lpt","cat_seminars"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Automatic differentiation in iPEPS simulations : unravelling the black box . - (Anna Francuz \/ LPT \/ Seminar). - 13\/06\/2023, 14H - FeRMI<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Automatic differentiation in iPEPS simulations : unravelling the black box . - (Anna Francuz \/ LPT \/ Seminar). - 13\/06\/2023, 14H - FeRMI\" \/>\n<meta property=\"og:description\" content=\"Anna Francuz (Universit\u00e9 de Vienne) Seminar LPT, 13\/06\/2023, 14H, 3R1, seminar room, 3rd floor Summary : Tensor networks have already proven to be extremely useful tools in the studies of&hellip;&nbsp;Lire la suite &raquo;Automatic differentiation in iPEPS simulations : unravelling the black box . &#8211; (Anna Francuz \/ LPT \/ Seminar). &#8211; 13\/06\/2023, 14H\" \/>\n<meta property=\"og:url\" content=\"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\/\" \/>\n<meta property=\"og:site_name\" content=\"FeRMI\" \/>\n<meta property=\"article:modified_time\" content=\"2023-06-12T12:17:21+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\\\/\",\"url\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\\\/\",\"name\":\"Automatic differentiation in iPEPS simulations : unravelling the black box . - (Anna Francuz \\\/ LPT \\\/ Seminar). - 13\\\/06\\\/2023, 14H - FeRMI\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/#website\"},\"datePublished\":\"2023-06-06T14:00:38+00:00\",\"dateModified\":\"2023-06-12T12:17:21+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\\\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Events\",\"item\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/events\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Automatic differentiation in iPEPS simulations : unravelling the black box . &#8211; (Anna Francuz \\\/ LPT \\\/ Seminar). &#8211; 13\\\/06\\\/2023, 14H\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/#website\",\"url\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/\",\"name\":\"FeRMI\",\"description\":\"F\u00e9d\u00e9ration de Recherche Mati\u00e8re et Interactions\",\"publisher\":{\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/#organization\",\"name\":\"FeRMI\",\"url\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/wp-content\\\/uploads\\\/2021\\\/09\\\/Logo_FERMI_web_bandeau350x131_blanc.png\",\"contentUrl\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/wp-content\\\/uploads\\\/2021\\\/09\\\/Logo_FERMI_web_bandeau350x131_blanc.png\",\"width\":350,\"height\":131,\"caption\":\"FeRMI\"},\"image\":{\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/#\\\/schema\\\/logo\\\/image\\\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Automatic differentiation in iPEPS simulations : unravelling the black box . - (Anna Francuz \/ LPT \/ Seminar). - 13\/06\/2023, 14H - FeRMI","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\/","og_locale":"fr_FR","og_type":"article","og_title":"Automatic differentiation in iPEPS simulations : unravelling the black box . - (Anna Francuz \/ LPT \/ Seminar). - 13\/06\/2023, 14H - FeRMI","og_description":"Anna Francuz (Universit\u00e9 de Vienne) Seminar LPT, 13\/06\/2023, 14H, 3R1, seminar room, 3rd floor Summary : Tensor networks have already proven to be extremely useful tools in the studies of&hellip;&nbsp;Lire la suite &raquo;Automatic differentiation in iPEPS simulations : unravelling the black box . &#8211; (Anna Francuz \/ LPT \/ Seminar). &#8211; 13\/06\/2023, 14H","og_url":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\/","og_site_name":"FeRMI","article_modified_time":"2023-06-12T12:17:21+00:00","twitter_card":"summary_large_image","twitter_misc":{"Dur\u00e9e de lecture estim\u00e9e":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\/","url":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\/","name":"Automatic differentiation in iPEPS simulations : unravelling the black box . - (Anna Francuz \/ LPT \/ Seminar). - 13\/06\/2023, 14H - FeRMI","isPartOf":{"@id":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/#website"},"datePublished":"2023-06-06T14:00:38+00:00","dateModified":"2023-06-12T12:17:21+00:00","breadcrumb":{"@id":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\/#breadcrumb"},"inLanguage":"fr-FR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-anna-francuz-lpt-seminar-13-06-2023-14h\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Events","item":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/events\/"},{"@type":"ListItem","position":2,"name":"Automatic differentiation in iPEPS simulations : unravelling the black box . &#8211; (Anna Francuz \/ LPT \/ Seminar). &#8211; 13\/06\/2023, 14H"}]},{"@type":"WebSite","@id":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/#website","url":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/","name":"FeRMI","description":"F\u00e9d\u00e9ration de Recherche Mati\u00e8re et Interactions","publisher":{"@id":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"fr-FR"},{"@type":"Organization","@id":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/#organization","name":"FeRMI","url":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/","logo":{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/#\/schema\/logo\/image\/","url":"https:\/\/fermi.univ-tlse3.fr\/wp-content\/uploads\/2021\/09\/Logo_FERMI_web_bandeau350x131_blanc.png","contentUrl":"https:\/\/fermi.univ-tlse3.fr\/wp-content\/uploads\/2021\/09\/Logo_FERMI_web_bandeau350x131_blanc.png","width":350,"height":131,"caption":"FeRMI"},"image":{"@id":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/#\/schema\/logo\/image\/"}}]}},"_links":{"self":[{"href":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/wp-json\/wp\/v2\/tribe_events\/9013","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/wp-json\/wp\/v2\/tribe_events"}],"about":[{"href":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/wp-json\/wp\/v2\/types\/tribe_events"}],"author":[{"embeddable":true,"href":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/wp-json\/wp\/v2\/users\/5"}],"version-history":[{"count":4,"href":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/wp-json\/wp\/v2\/tribe_events\/9013\/revisions"}],"predecessor-version":[{"id":9039,"href":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/wp-json\/wp\/v2\/tribe_events\/9013\/revisions\/9039"}],"wp:attachment":[{"href":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/wp-json\/wp\/v2\/media?parent=9013"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/wp-json\/wp\/v2\/tags?post=9013"},{"taxonomy":"tribe_events_cat","embeddable":true,"href":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/wp-json\/wp\/v2\/tribe_events_cat?post=9013"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}