{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008610701,0.000372844,0.0005339175,0.001735328,0.0009227286,0.002025177,0.0004567829,0.0003834294,0.005187867],"category_scores_gemma":[0.003081654,0.0002292908,0.0007270939,0.0007676453,0.003789414,0.002832756,0.002052806,0.001446206,0.0005290391],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008030736,"about_ca_system_score_gemma":0.0004895316,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004617907,"about_ca_topic_score_gemma":0.0004858313,"domain_scores_codex":[0.9986871,0.0002639485,0.00006767618,0.0003434455,0.0004175118,0.0002204279],"domain_scores_gemma":[0.9978786,0.0008249001,0.0003715752,0.0003620429,0.0002590117,0.0003038802],"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":[0.00002799004,0.00001284112,0.0004965973,0.00001976322,0.000005819885,0.00007791095,0.00018136,0.001627484,0.001599603,0.9899192,0.000444645,0.005586749],"study_design_scores_gemma":[0.000009810351,0.00009873599,0.001710151,0.00001872643,0.000008706255,0.0002801314,0.000217984,0.01518955,0.002286918,0.9763392,0.003805209,0.00003496416],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6473146,0.0004823555,0.2932547,0.0006617664,0.000195879,0.00005007433,0.0004856632,0.0005566362,0.05699831],"genre_scores_gemma":[0.9802883,0.0001908695,0.01163788,0.0001621922,0.0001807526,0.0000530434,0.0001754973,0.0001032697,0.007208277],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005187867,"threshold_uncertainty_score":0.01735514,"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."}}