{"id":"W2775700832","doi":"10.1515/spma-2017-0022","title":"A counterexample to the Drury permanent conjecture","year":2017,"lang":"en","type":"article","venue":"Special Matrices","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Guelph","funders":"","keywords":"Counterexample; Conjecture; Mathematics; Positive-definite matrix; Matrix (chemical analysis); Combinatorics; Semidefinite programming; Pure mathematics; Discrete mathematics; Mathematical optimization","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000311824,0.0001107419,0.0001155286,0.000043432,0.000855135,0.001019379,0.0024958,0.00003552064,0.0002223441],"category_scores_gemma":[0.00005264116,0.00006983192,0.00006066955,0.00009375068,0.00005005601,0.0003376178,0.0005412406,0.0001095914,0.0007949059],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001901632,"about_ca_system_score_gemma":0.00003282631,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008444595,"about_ca_topic_score_gemma":0.00008708698,"domain_scores_codex":[0.9991139,0.00004103883,0.0001211209,0.0002543422,0.0002411559,0.0002284908],"domain_scores_gemma":[0.9987273,0.00006638575,0.0001084738,0.0009827913,0.00003483683,0.0000801656],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00002406401,0.00004872609,0.0003579841,0.00002259619,0.0000261745,0.00007403376,0.003579781,0.00004516159,0.0001035166,0.7940328,0.07868466,0.1230005],"study_design_scores_gemma":[0.0001929468,0.0000648796,0.007607577,0.00001399655,0.000007642442,0.00002668923,0.00007261333,0.000528093,0.0003193743,0.02461553,0.9663488,0.0002019173],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2532547,0.001384901,0.1495976,0.09646595,0.02481819,0.002255222,0.0001300792,0.0007615038,0.4713318],"genre_scores_gemma":[0.9780263,0.00004402889,0.004353563,0.001514168,0.0120413,0.00002461372,0.000001601213,0.00001315837,0.003981306],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8876641,"threshold_uncertainty_score":0.9999831,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01422740743193453,"score_gpt":0.2618586584246281,"score_spread":0.2476312509926935,"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."}}