{"id":"W2460637059","doi":"10.1109/focs.2016.67","title":"Extension Complexity of Independent Set Polytopes","year":2016,"lang":"en","type":"preprint","venue":"","topic":"Complexity and Algorithms in Graphs","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Education - Singapore; National Research Foundation Singapore; Simons Foundation; National Science Foundation","keywords":"Polytope; Extension (predicate logic); Monotone polygon; Combinatorics; Omega; Mathematics; Exponential function; Connection (principal bundle); Set (abstract data type); Graph; Discrete mathematics; Independent set; Computer science; Geometry; Physics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000769013,0.0007995867,0.0007394112,0.0005606552,0.0007860969,0.002331282,0.001974246,0.0009532651,0.01044159],"category_scores_gemma":[0.003929408,0.0006158122,0.001765085,0.001298597,0.001584316,0.005831291,0.002590732,0.00487458,0.00084651],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001632825,"about_ca_system_score_gemma":0.0005712669,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007691954,"about_ca_topic_score_gemma":0.001297161,"domain_scores_codex":[0.9991469,0.000188518,0.00003463063,0.0002401411,0.0002296717,0.0001601333],"domain_scores_gemma":[0.9972695,0.00167443,0.0001794063,0.0004975051,0.0001499758,0.0002291752],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002212927,0.0001736473,0.001235046,0.0003816657,0.00006867677,0.0002917808,0.0005241476,0.1062369,0.007084629,0.8381642,0.009469963,0.03614808],"study_design_scores_gemma":[0.00004044476,0.00005144336,0.0006359753,0.00003976015,0.00003546436,0.0002299975,0.00008795397,0.1288761,0.002590932,0.8596357,0.007750305,0.00002599986],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4869925,0.0007607287,0.4397161,0.003147761,0.0001325698,0.0002085117,0.001936849,0.000702818,0.06640222],"genre_scores_gemma":[0.8484247,0.0009203108,0.128274,0.0005841675,0.0002085784,0.0003286284,0.002302827,0.0003568823,0.01859994],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01044159,"threshold_uncertainty_score":0.03493065,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09488871318137443,"score_gpt":0.3017301555468939,"score_spread":0.2068414423655194,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}