{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003639225,0.000323984,0.000519855,0.0002351836,0.0002431966,0.00008257028,0.0006064632,0.000222279,0.00003344741],"category_scores_gemma":[0.00007771422,0.0002869267,0.0003520989,0.0004242228,0.0001173983,0.00007782286,0.0002790391,0.0003143249,0.00003394602],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006709624,"about_ca_system_score_gemma":0.0000645287,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004212798,"about_ca_topic_score_gemma":0.00009767022,"domain_scores_codex":[0.998567,0.00005545048,0.0002376426,0.0007281057,0.00008554462,0.0003261861],"domain_scores_gemma":[0.9974661,0.001209213,0.000249775,0.0008110952,0.0001549441,0.0001089085],"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":[0.0009192213,0.00009742047,0.000272935,0.000356801,0.0003455137,0.00003776636,0.0002128786,0.05450447,0.00001854233,0.9407318,0.00240672,0.0000959324],"study_design_scores_gemma":[0.003662206,0.00004404016,0.00009824525,0.0001743256,0.0005478223,0.00000268496,0.0005205807,0.08258675,0.00007401162,0.9110246,0.0007874813,0.0004773044],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3925183,0.00003254204,0.6006159,0.0001138455,0.0002204803,0.001966418,0.000134351,0.0005163786,0.003881781],"genre_scores_gemma":[0.9879333,0.0002094826,0.006388306,0.000009964669,0.0001314552,0.0000296833,0.00005291941,0.00008270904,0.005162168],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5954149,"threshold_uncertainty_score":0.9999583,"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."}}