{"id":1063,"date":"2016-10-16T09:42:03","date_gmt":"2016-10-16T09:42:03","guid":{"rendered":"http:\/\/www.cs.ubbcluj.ro\/~fca\/?p=1063"},"modified":"2017-06-19T12:56:36","modified_gmt":"2017-06-19T12:56:36","slug":"conceptual-visualization-and-navigation-methods-for-polyadic-formal-concept-analysis","status":"publish","type":"post","link":"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/conceptual-visualization-and-navigation-methods-for-polyadic-formal-concept-analysis\/","title":{"rendered":"Conceptual Visualization and Navigation Methods for Polyadic Formal Concept Analysis"},"content":{"rendered":"<p><strong>Paper:<\/strong> <a href=\"http:\/\/www.cs.ubbcluj.ro\/~dianat\/publications\/extendedAbstract.pdf\" target=\"_blank\">Diana Troanca, Conceptual Visualization and Navigation Methods for Polyadic Formal Concept Analysis, Doctoral Consortium, Proceedings of the 25th International Joint Conference on Artificial Intelligence, IJCAI 2016, AAAI Press, pp. 4034-4035<\/a><\/p>\n<p><strong>Abstract:<\/strong> Conceptual knowledge is closely related to a deeper understanding\u00a0of existing facts and relationships, but also to the argumentation\u00a0and communication of why something happens in a particular way. Formal Concept Analysis (FCA) is the\u00a0core of Conceptual Knowledge Processing. It emerged from\u00a0applied mathematics and quickly developed into a powerful\u00a0framework for knowledge representation. It is based on a set theoretical semantics and provides a rich amount of mathematical instruments for representation, acquiring, retrieval,\u00a0discovery and further processing of knowledge.\u00a0FCA was introduced in the dyadic setting [Ganter and\u00a0Wille, 1999] and extended to a triadic [Lehmann and Wille,\u00a01995] and eventually n-adic setting [Voutsadakis, 2002]. Intuitively, dyadic datasets can be understood as objects related\u00a0to attributes and, in addition, to conditions for the triadic case.\u00a0FCA defines concepts as maximal clusters of data in which\u00a0all elements are mutually interrelated. A common problem\u00a0for n-adic FCA is concept visualization and navigation.\u00a0The goal of my thesis is to find visualization and navigation\u00a0paradigms that can be applied to higher-dimensional datasets.\u00a0Therefore, we study the triadic case and propose several visualization\u00a0and navigational approaches. Furthermore, we evaluate\u00a0these approaches, study their generalizations and extend\u00a0them, where possible, to n-ary formal contexts.<\/p>\n<p><strong>Keywords:<\/strong> Conceptual Knowledge Processing, Formal Concept Analysis, visualization, navigation, higher-dimensional datasets<\/p>\n<p><strong>Acknowledgments:<\/strong> This research was supported by a scholarship from DAAD.<\/p>\n<p><strong>Presentation:<\/strong> <a href=\"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/wp-content\/uploads\/poster-4.png\" data-rel=\"lightbox-image-0\" data-rl_title=\"\" data-rl_caption=\"\" title=\"\">Doctoral Consortium &#8211; IJCAI 2016<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Paper: Diana Troanca, Conceptual Visualization and Navigation Methods for Polyadic Formal Concept Analysis, Doctoral Consortium, Proceedings of the 25th International Joint Conference on Artificial Intelligence, IJCAI 2016, AAAI Press, pp. 4034-4035 Abstract: Conceptual knowledge is closely related to a deeper understanding\u00a0of existing facts and relationships, but also to the argumentation\u00a0and communication of why something happens &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/conceptual-visualization-and-navigation-methods-for-polyadic-formal-concept-analysis\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Conceptual Visualization and Navigation Methods for Polyadic Formal Concept Analysis&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":1067,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-1063","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-posters"],"_links":{"self":[{"href":"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/wp-json\/wp\/v2\/posts\/1063","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/wp-json\/wp\/v2\/comments?post=1063"}],"version-history":[{"count":11,"href":"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/wp-json\/wp\/v2\/posts\/1063\/revisions"}],"predecessor-version":[{"id":1194,"href":"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/wp-json\/wp\/v2\/posts\/1063\/revisions\/1194"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/wp-json\/wp\/v2\/media\/1067"}],"wp:attachment":[{"href":"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/wp-json\/wp\/v2\/media?parent=1063"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/wp-json\/wp\/v2\/categories?post=1063"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cs.ubbcluj.ro\/research\/fca\/wp-json\/wp\/v2\/tags?post=1063"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}