{"id":"W1526980774","doi":"10.37236/318","title":"Value-Peaks of Permutations","year":2010,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"National Science Council","keywords":"Combinatorics; Mathematics; Sigma; Partially ordered set; Permutation (music); Value (mathematics); Set (abstract data type); Discrete mathematics; Physics; Statistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001458207,0.0006786809,0.0008791056,0.001903042,0.003491583,0.004191904,0.001398655,0.001136869,0.01213561],"category_scores_gemma":[0.005637483,0.0006142799,0.001469136,0.002249143,0.005875816,0.0109162,0.00463307,0.003094916,0.001642188],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001741198,"about_ca_system_score_gemma":0.001027769,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001256597,"about_ca_topic_score_gemma":0.001405967,"domain_scores_codex":[0.9970136,0.0005537379,0.0002137452,0.0009425406,0.0007290647,0.0005474347],"domain_scores_gemma":[0.9968947,0.00145423,0.0002612174,0.0006917444,0.0004235335,0.0002745915],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00002196686,0.00001018519,0.0003497805,0.00003164731,0.00000480273,0.00009493953,0.00028959,0.0003860142,0.0005190168,0.9869741,0.0008756075,0.01044229],"study_design_scores_gemma":[0.000008392527,0.00002687156,0.0002495203,0.00002758199,0.00001458562,0.0003578848,0.0002611117,0.002872742,0.002699455,0.9720683,0.02138582,0.00002786554],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1491912,0.001314714,0.6734815,0.001365275,0.000722324,0.0002073349,0.0009611709,0.001472412,0.1712841],"genre_scores_gemma":[0.8543721,0.0008002744,0.1053749,0.00074416,0.0006417421,0.0003211166,0.00133484,0.001083515,0.03532736],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01213561,"threshold_uncertainty_score":0.04059762,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0128742712942809,"score_gpt":0.3050202986029429,"score_spread":0.292146027308662,"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."}}