{"id":161,"date":"2023-05-25T09:30:22","date_gmt":"2023-05-25T09:30:22","guid":{"rendered":"http:\/\/math-in.net\/9imw\/?page_id=161"},"modified":"2023-05-30T11:49:30","modified_gmt":"2023-05-30T11:49:30","slug":"problem-2","status":"publish","type":"page","link":"https:\/\/math-in.net\/9imw\/en\/problem-2\/","title":{"rendered":"Problem 2"},"content":{"rendered":"<h4>Problem 2<\/h4>\n<p><img class=\"alignnone size-full wp-image-250\" src=\"http:\/\/math-in.net\/9imw\/wp-content\/uploads\/sites\/17\/2023\/05\/CMUC-1.png\" alt=\"\" width=\"217\" height=\"89\" srcset=\"https:\/\/math-in.net\/9imw\/wp-content\/uploads\/sites\/17\/2023\/05\/CMUC-1-200x82.png 200w, https:\/\/math-in.net\/9imw\/wp-content\/uploads\/sites\/17\/2023\/05\/CMUC-1.png 217w\" sizes=\"(max-width: 217px) 100vw, 217px\" \/><\/p>\n<p><strong>Challenge Title:<\/strong> Group testing of large populations.<\/p>\n<p><strong>Brief description of the challenge:<\/strong><\/p>\n<p>Examining each member of a large population can be a costly and laborious undertaking. In many testing scenarios, the workload can be significantly decreased by inspecting only a representative subset of the total population, rather than examining each individual. However, in many inspection contexts, the goal is to achieve precise identification of each individual rather than simply obtaining information about a representative sample. This is the case, for example, when detecting of infectious diseases in human population.<\/p>\n<p>The objective is to find a strategy which accurately identifies individuals infected in a small number of tests and few rounds of testing. The scenario to consider is a population of unrelated individuals with low infection prevalence in routine tests.<\/p>\n<p>&nbsp;<\/p>\n<p>Mathematical background | Students need to have basic knowledge of some programming language, basic combinatory and statistics.<\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<p><strong><em>Coordinator |<\/em><\/strong><em>\u00a0S\u00edlvia Barbeiro, CMUC-Departamento de Matem\u00e1tica, Universidade de Coimbra, Portugal<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problem 2 Challenge Title: Group testing of large populations. Brief [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Problem 2 - IX IBERIAN MODELLING WEEK<\/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:\/\/math-in.net\/9imw\/en\/problem-2\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Problem 2 - IX IBERIAN MODELLING WEEK\" \/>\n<meta property=\"og:description\" content=\"Problem 2 Challenge Title: Group testing of large populations. 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