{"id":"W2499901585","doi":"10.1017/fms.2019.47","title":"A DISTRIBUTION ON TRIPLES WITH MAXIMUM ENTROPY MARGINAL","year":2019,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Mathematics; Combinatorics; Distribution (mathematics); Principle of maximum entropy; Entropy (arrow of time); Probability distribution; Discrete mathematics; Statistics; Physics; Mathematical analysis; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001403026,0.0004908108,0.000789243,0.001887218,0.001583352,0.001983881,0.001156616,0.001111568,0.006252375],"category_scores_gemma":[0.007639201,0.0004721311,0.0009064936,0.0009757771,0.003139112,0.003275761,0.002401292,0.001296248,0.000918625],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001680838,"about_ca_system_score_gemma":0.0007896334,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008912872,"about_ca_topic_score_gemma":0.0007355917,"domain_scores_codex":[0.9991469,0.0002595084,0.00003086858,0.0001801532,0.0002180186,0.0001646205],"domain_scores_gemma":[0.9968924,0.001518026,0.000294079,0.0003876976,0.0003362194,0.0005716144],"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":[0.00006479146,0.0000239483,0.0006679861,0.00003905713,0.00001194753,0.0001160963,0.0001656508,0.0071032,0.001824688,0.9850881,0.001206693,0.003687907],"study_design_scores_gemma":[0.00001804508,0.00002492999,0.0004496482,0.00001956029,0.000007455738,0.0001585972,0.00006539022,0.06779291,0.001721301,0.9283293,0.001390341,0.00002263609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5502311,0.0004159095,0.4106385,0.001643237,0.0001379327,0.0000739517,0.0007214054,0.000675633,0.03546239],"genre_scores_gemma":[0.9687157,0.0001880576,0.02471823,0.0002253938,0.0001276078,0.0001023462,0.0003431353,0.0002052657,0.005374285],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006252375,"threshold_uncertainty_score":0.02091628,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01334727776458169,"score_gpt":0.2459409306535412,"score_spread":0.2325936528889595,"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."}}