{"id":"W3198911816","doi":"10.5070/c63261992","title":"Homomesy via toggleability statistics","year":2023,"lang":"en","type":"article","venue":"Combinatorial Theory","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Division of Mathematical Sciences; Banff International Research Station for Mathematical Innovation and Discovery; National Science Foundation","keywords":"Piecewise linear function; Mathematics; Lift (data mining); Piecewise; Set (abstract data type); Operator (biology); Constant (computer programming); Partially ordered set; Statistics; Discrete mathematics; Computer science; Mathematical analysis; Data mining","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002282543,0.0003802014,0.000618553,0.0001816305,0.0002777907,0.00006156794,0.0006630315,0.0002302266,0.0003650199],"category_scores_gemma":[0.006607089,0.0003717646,0.0001525342,0.0009063642,0.000255127,0.0001879552,0.0003841391,0.0004105987,0.0008446805],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001956333,"about_ca_system_score_gemma":0.0000981419,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002255324,"about_ca_topic_score_gemma":8.714238e-7,"domain_scores_codex":[0.9970375,0.0004226123,0.0007013773,0.0004886619,0.0006640539,0.0006857756],"domain_scores_gemma":[0.9927918,0.005221792,0.0002676868,0.001218008,0.0002779304,0.0002227419],"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":[0.00008027332,0.0002592741,0.00004386445,0.0001499742,0.00005032222,0.00003308191,0.0004472197,0.000002912444,0.0003462501,0.9847349,0.01089403,0.002957881],"study_design_scores_gemma":[0.0012432,0.0001461353,0.00004857569,0.00003414141,0.00005655307,0.000006957401,0.0001642915,0.0001573086,0.001590884,0.9920921,0.004046279,0.0004136166],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.386731,0.0001820053,0.4996696,0.0004467775,0.06576954,0.003762951,0.0003276697,0.008416325,0.03469409],"genre_scores_gemma":[0.9795461,0.00002688335,0.01513256,0.00006287574,0.001289296,0.0001876732,0.0000488718,0.0002300844,0.003475709],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.592815,"threshold_uncertainty_score":0.9999333,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04249434765125982,"score_gpt":0.3386775848386869,"score_spread":0.2961832371874271,"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."}}