{"id":"W2083414707","doi":"10.1017/s0963548313000175","title":"The Entropy of Random-Free Graphons and Properties","year":2013,"lang":"en","type":"preprint","venue":"Combinatorics Probability Computing","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Conjecture; Random graph; Combinatorics; Mathematics; Entropy (arrow of time); Graph; Discrete mathematics; Physics; Thermodynamics","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"],"consensus_categories":[],"category_scores_codex":[0.002325329,0.0004364408,0.0008333851,0.00008817409,0.000850288,0.0001612662,0.001377832,0.0003354303,0.000004279861],"category_scores_gemma":[0.003979037,0.0002733217,0.0002987725,0.000180391,0.0009539772,0.00004882607,0.00544829,0.001019307,4.527017e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008134828,"about_ca_system_score_gemma":0.0001051238,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004466515,"about_ca_topic_score_gemma":0.000004032661,"domain_scores_codex":[0.9969223,0.0005686681,0.001011377,0.0005832039,0.0004770667,0.0004373423],"domain_scores_gemma":[0.9942911,0.002284607,0.0007647667,0.002010924,0.0005452791,0.0001032748],"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":[0.00004789553,0.0001166096,0.002285562,0.001766306,0.0001584235,6.228964e-7,0.002286077,0.00003152807,0.00003548518,0.9912259,0.0004521981,0.001593382],"study_design_scores_gemma":[0.0009716253,0.00005230576,0.0006441844,0.0002874554,0.00009192908,0.000004996393,0.0001131465,0.002713894,0.0004729009,0.9942458,0.0001069565,0.0002947957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9912696,0.002889402,0.0008524086,0.0003117502,0.001960939,0.001872023,0.00001027127,0.0001443682,0.0006892077],"genre_scores_gemma":[0.9961671,0.0001733464,0.00342574,0.00001403699,0.00007713174,0.00004391756,0.000002072626,0.00004100844,0.00005570636],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004897411,"threshold_uncertainty_score":0.9999719,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04106651041867172,"score_gpt":0.2611840604611839,"score_spread":0.2201175500425122,"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."}}