{"id":"W4321473540","doi":"10.48550/arxiv.2302.09729","title":"Embedding theorems for random graphs with specified degrees","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Degree (music); Embedding; Graph; Physics; Mathematics; Coupling (piping)","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":[0.004830029,0.002724462,0.001927128,0.004044999,0.001606564,0.003578114,0.004826979,0.00315724,0.01193362],"category_scores_gemma":[0.03409642,0.00155193,0.00262237,0.002838234,0.002858864,0.01308126,0.005940216,0.005586761,0.003332164],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003599193,"about_ca_system_score_gemma":0.00122273,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001611641,"about_ca_topic_score_gemma":0.001588484,"domain_scores_codex":[0.9958754,0.001519017,0.0001752833,0.001091394,0.0008058611,0.000533128],"domain_scores_gemma":[0.9636645,0.02468095,0.003149523,0.004208461,0.002527316,0.001769328],"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":[0.0001371512,0.00009006242,0.000894536,0.0002523325,0.00007835616,0.0002005197,0.0003315913,0.03878683,0.001727525,0.9361958,0.007434364,0.01387092],"study_design_scores_gemma":[0.00006275281,0.00008171665,0.000650308,0.00007512692,0.00005243229,0.0002119662,0.00007152333,0.2505148,0.001395994,0.7418126,0.005013711,0.0000571055],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07157484,0.001914974,0.8868864,0.00304371,0.0002325208,0.0002212424,0.001414735,0.001430827,0.03328073],"genre_scores_gemma":[0.7750769,0.00460816,0.1676817,0.003452468,0.001219827,0.001895163,0.004890402,0.001950582,0.03922477],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01193362,"threshold_uncertainty_score":0.03992194,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2025134527478033,"score_gpt":0.2565632928341637,"score_spread":0.05404984008636046,"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."}}