{"id":"W3127659170","doi":"10.48550/arxiv.2102.05250","title":"On multipartite derangement graphs","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"","keywords":"Combinatorics; Derangement; Multipartite; Transitive relation; Mathematics; Permutation group; Discrete mathematics; Graph; Permutation (music); Physics","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005632523,0.0003870987,0.0004626648,0.0003819679,0.0001578804,0.0001083486,0.0008107426,0.0003484714,0.0009209092],"category_scores_gemma":[0.0004012047,0.0004420629,0.0003835565,0.0004766886,0.0001515083,0.00009811496,0.001373022,0.001036226,0.0002628429],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002766541,"about_ca_system_score_gemma":0.0001289853,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005192694,"about_ca_topic_score_gemma":0.0001216642,"domain_scores_codex":[0.9975787,0.0004203948,0.0002450305,0.001037579,0.0002095553,0.000508744],"domain_scores_gemma":[0.997008,0.0008317606,0.0001825777,0.001539286,0.0002281951,0.0002101471],"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":[0.0002190018,0.0005959719,0.001107697,0.0004814443,0.0003887329,0.001353326,0.0004871523,0.01168621,0.0001076548,0.9813192,0.002064363,0.0001892159],"study_design_scores_gemma":[0.001068712,0.0001075631,0.0003724002,0.0004052255,0.0001782977,0.000003189417,0.0004669259,0.02085532,0.0005697412,0.9749951,0.0003400164,0.0006375024],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9790547,0.00004569715,0.009400866,0.00005655702,0.0003617429,0.0005567219,0.00003549166,0.0002074042,0.01028085],"genre_scores_gemma":[0.9939989,0.0001207291,0.0008473612,0.00009305357,0.00004901225,0.00000410189,0.00004537372,0.00006270174,0.004778735],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01494426,"threshold_uncertainty_score":0.9999924,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2283406750240227,"score_gpt":0.2572967520844641,"score_spread":0.02895607706044145,"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."}}