{"id":2863,"date":"2022-12-20T00:20:24","date_gmt":"2022-12-19T23:20:24","guid":{"rendered":"https:\/\/rcai.de\/?page_id=2863"},"modified":"2025-04-08T09:32:46","modified_gmt":"2025-04-08T07:32:46","slug":"mathematics","status":"publish","type":"page","link":"https:\/\/rcai.de\/en\/labs\/mathematics\/","title":{"rendered":"Mathematics Laboratory"},"content":{"rendered":"<div class=\"wp-block-group alignwide has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-d0b3c9c8 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image aligncenter size-full is-resized is-style-rounded\"><img loading=\"lazy\" decoding=\"async\" width=\"638\" height=\"638\" src=\"https:\/\/rcai.de\/wp-content\/uploads\/2022\/12\/lauf.jpg\" alt=\"\" class=\"wp-image-2922\" style=\"width:200px;height:200px\" srcset=\"https:\/\/rcai.de\/wp-content\/uploads\/2022\/12\/lauf.jpg 638w, https:\/\/rcai.de\/wp-content\/uploads\/2022\/12\/lauf-300x300.jpg 300w, https:\/\/rcai.de\/wp-content\/uploads\/2022\/12\/lauf-150x150.jpg 150w, https:\/\/rcai.de\/wp-content\/uploads\/2022\/12\/lauf-375x375.jpg 375w\" sizes=\"auto, (max-width: 638px) 100vw, 638px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-dm-sans-font-family has-medium-font-size\" style=\"line-height:1.6\">Prof. Dr. Wolfgang Lauf<br>Laborleiter<\/h2>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image aligncenter size-full is-resized is-style-rounded\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"700\" src=\"https:\/\/rcai.de\/wp-content\/uploads\/2022\/12\/weiss.png\" alt=\"\" class=\"wp-image-2928\" style=\"width:200px;height:200px\" srcset=\"https:\/\/rcai.de\/wp-content\/uploads\/2022\/12\/weiss.png 700w, https:\/\/rcai.de\/wp-content\/uploads\/2022\/12\/weiss-300x300.png 300w, https:\/\/rcai.de\/wp-content\/uploads\/2022\/12\/weiss-150x150.png 150w, https:\/\/rcai.de\/wp-content\/uploads\/2022\/12\/weiss-375x375.png 375w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-dm-sans-font-family has-medium-font-size\" style=\"line-height:1.6\">Prof. Dr. Martin Wei\u00df<br>Laborleiter<\/h2>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns alignwide tw-cols-stack-md is-layout-flex wp-container-core-columns-is-layout-41b5ec3a wp-block-columns-is-layout-flex\" style=\"padding-top:0;padding-right:0;padding-bottom:0;padding-left:0\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"--col-width:55%;flex-basis:55%\">\n<h2 class=\"wp-block-heading alignwide has-dm-sans-font-family\" style=\"font-size:clamp(1.25em, 1.25rem + ((1vw - 0.2em) * 1.364), 2em);\">Mathematics Laboratory<\/h2>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-dm-sans-font-family\">In the mathematics laboratory, a wide range of research topics from the broad spectrum of applied mathematics are covered: from financial mathematics and complex analysis to machine learning and robotics.<\/p>\n\n\n\n<p class=\"has-dm-sans-font-family\">One focus of application is on topics related to predictive maintenance. In this context, time series analyses of machine data are carried out in order to identify possible problems in the production process at an early stage. This was the subject of the successfully completed PRISMA research project. <\/p>\n\n\n\n<p class=\"has-dm-sans-font-family\">The laboratory also uses neural networks to solve image processing problems. In an application-oriented approach, it addresses optical defect recognition tasks that can be used for industrial quality assurance. In addition, the theoretical basis of these approaches is the subject of research, in particular the behaviour of the Adam optimiser.<\/p>\n\n\n\n<p class=\"has-dm-sans-font-family\">Robotics is also an important part of our research activities. In addition to investigations in the context of predictive maintenance, kinematic properties of different robot architectures are being researched, which are particularly used in new collaborative robots. This is a fundamental aspect of efficient and safe path planning and control. Another research interest is path planning in workspaces with obstacles. <\/p>\n\n\n\n<p class=\"has-dm-sans-font-family\">In the laboratory, an industrial 6-axis robot (KUKA Agilus KR 6R700 sixx) and a collaborative 7-axis robot (KUKA LBR iiwa 7 R800) are available for this purpose. A temi robot is used for mobile and social robotics projects.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-top has-dm-sans-font-family is-layout-flow wp-block-column-is-layout-flow\">\n<div style=\"height:38px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\" style=\"margin-top:30px\">Fields of interest<\/h3>\n\n\n\n<p>Computer Vision<br>Generation<br>Prognose<br>(Collaborative) Robotics<br><br>Predictive Maintenance<br><br>Optimierungsverfahren<br>Reinforcement Learning<br><br>KI im Automotive-Sektor, in Produktion und Logistik sowie im Sozialwesen<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\" style=\"margin-top:30px\">Contact<\/h3>\n\n\n\n<p>Prof. Dr. Wolfgang Lauf<br>+49 (0) 941 943-7154<br><a href=\"\/en\/&\/#x6d;&#97;i&#x6c;&#x74;&#111;:&#x77;&#x6f;&#108;f&#x67;&#97;n&#x67;&#x2e;&#108;a&#x75;&#x66;&#64;o&#x74;&#104;&#45;&#x72;&#x65;&#103;e&#x6e;&#x73;&#98;u&#x72;&#103;&#46;d&#x65;\">&#x77;&#x6f;&#x6c;&#x66;&#x67;&#x61;&#110;&#103;&#46;&#108;auf&#64;&#x6f;&#x74;&#x68;&#x2d;&#x72;&#x65;&#103;&#101;&#110;&#115;&#98;urg&#x2e;&#x64;&#x65;<\/a><\/p>\n\n\n\n<p>Prof. Dr. Martin Wei\u00df<br>+49 (0) 941 943-7155<br><a href=\"\/en\/m&\/#97;&#x69;&#x6c;t&#111;&#x3a;&#x6d;a&#114;&#116;&#x69;&#x6e;&#46;&#119;&#x65;&#x69;s&#115;&#x40;&#x6f;t&#104;&#45;&#x72;&#x65;g&#101;&#x6e;&#x73;b&#117;&#x72;&#x67;&#46;&#100;&#101;\">&#x6d;&#97;r&#x74;&#x69;&#110;&#46;&#x77;&#101;i&#x73;&#x73;&#64;o&#x74;&#104;-&#x72;&#x65;&#103;e&#x6e;&#x73;&#98;&#x75;&#x72;&#103;&#46;&#x64;&#x65;<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/informatik-mathematik.oth-regensburg.de\/labore\/mathematik\">Website<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Prof. Dr. Wolfgang LaufLaborleiter Prof. Dr. Martin Wei\u00dfLaborleiter Labor Mathematik Im Mathematiklabor werden vielseitige Forschungsthemen aus dem breiten Spektrum der angewandten Mathematik behandelt. Diese reichen von der Finanzmathematik, \u00fcber die Funktionentheorie bis hin zu Machine Learning und Robotik. Ein Anwendungsschwerpunkt liegt bei Themen der vorausschauenden Instandhaltung (Predictive Maintenance). In diesem Kontext werden insbesondere Zeitreihenanalysen zu [&hellip;]<\/p>\n","protected":false},"author":8,"featured_media":0,"parent":2811,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"cybocfi_hide_featured_image":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-2863","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/rcai.de\/en\/wp-json\/wp\/v2\/pages\/2863","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/rcai.de\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/rcai.de\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/rcai.de\/en\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/rcai.de\/en\/wp-json\/wp\/v2\/comments?post=2863"}],"version-history":[{"count":3,"href":"https:\/\/rcai.de\/en\/wp-json\/wp\/v2\/pages\/2863\/revisions"}],"predecessor-version":[{"id":7215,"href":"https:\/\/rcai.de\/en\/wp-json\/wp\/v2\/pages\/2863\/revisions\/7215"}],"up":[{"embeddable":true,"href":"https:\/\/rcai.de\/en\/wp-json\/wp\/v2\/pages\/2811"}],"wp:attachment":[{"href":"https:\/\/rcai.de\/en\/wp-json\/wp\/v2\/media?parent=2863"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rcai.de\/en\/wp-json\/wp\/v2\/categories?post=2863"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rcai.de\/en\/wp-json\/wp\/v2\/tags?post=2863"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}