{"id":154585,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/msr-research-item\/efficient-theta-subsumption-based-on-graph-algorithms\/"},"modified":"2018-10-16T20:14:57","modified_gmt":"2018-10-17T03:14:57","slug":"efficient-theta-subsumption-based-on-graph-algorithms","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/efficient-theta-subsumption-based-on-graph-algorithms\/","title":{"rendered":"Efficient theta-subsumption based on graph algorithms"},"content":{"rendered":"<div class=\"asset-content\">\n<p>The \u03b8-subsumption problem is crucial to the efficiency of ILP learning systems. We discuss two \u03b8-subsumption algorithms based on strategies for preselecting suitable matching literals. The class of clauses, for which subsumption becomes polynomial, is a superset of the deterministic clauses. We further map the general problem of \u03b8-subsumption to a certain problem of finding a clique of fixed size in a graph, and in return show that a specialization of the pruning strategy of the Carraghan and Pardalos clique algorithm provides a dramatic reduction of the subsumption search space. We also present empirical results for the mesh design data set.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The \u03b8-subsumption problem is crucial to the efficiency of ILP learning systems. We discuss two \u03b8-subsumption algorithms based on strategies for preselecting suitable matching literals. The class of clauses, for which subsumption becomes polynomial, is a superset of the deterministic clauses. We further map the general problem of \u03b8-subsumption to a certain problem of finding [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":[{"type":"user_nicename","value":"rherb"}],"msr_publishername":"Springer Verlag","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"Lecture Notes in Artifical 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