{"id":"W4398157627","doi":"10.48550/arxiv.2405.10854","title":"Strong log-convexity of genus sequences","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; European Commission","keywords":"Convexity; Genus; Combinatorics; Mathematics; Biology; Zoology; Economics; Financial economics","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":[0.0005304466,0.0003512686,0.0004396515,0.000985165,0.001266466,0.001550482,0.000661729,0.0005353081,0.002570017],"category_scores_gemma":[0.00671488,0.0003450132,0.0004276694,0.0008406234,0.002030589,0.002089776,0.00122696,0.00155692,0.0003340034],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00138998,"about_ca_system_score_gemma":0.0005070712,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001828885,"about_ca_topic_score_gemma":0.002084935,"domain_scores_codex":[0.9994202,0.0001111172,0.00001975346,0.0001119919,0.0002096236,0.0001274081],"domain_scores_gemma":[0.9956015,0.002327614,0.0004623049,0.0005739484,0.0005617511,0.0004729456],"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":[0.0003367943,0.00008116679,0.0209309,0.0001156864,0.00002692886,0.0009252186,0.0006913276,0.04017508,0.01771607,0.8847218,0.00721534,0.02706365],"study_design_scores_gemma":[0.000031593,0.00007899015,0.0136317,0.00003362198,0.00001913767,0.001310045,0.0004007348,0.3033303,0.00961405,0.6612362,0.0102575,0.0000560574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9046953,0.0003343989,0.06078579,0.001491565,0.00004864572,0.00003073342,0.0005459309,0.0003433978,0.03172428],"genre_scores_gemma":[0.9893005,0.0001233642,0.007303947,0.0001633496,0.00002748813,0.00004022976,0.0002128753,0.00004946311,0.002778609],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002570017,"threshold_uncertainty_score":0.01008505,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05434992744298476,"score_gpt":0.1672848378569444,"score_spread":0.1129349104139596,"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."}}