{"id":"W3045827620","doi":"10.1016/j.aam.2020.102084","title":"A new capacity for the affine bounded variation","year":2020,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Affine transformation; Bounded function; Euclidean space; Variation (astronomy); Euclidean geometry; Dimension (graph theory); Affine space; Bounded variation; Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry","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":[0.004385708,0.001686335,0.002137637,0.003538189,0.001736915,0.004652241,0.003477161,0.002869424,0.01564867],"category_scores_gemma":[0.01664374,0.0008608806,0.002400968,0.002703487,0.006999134,0.01184329,0.007429118,0.00653728,0.00156485],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00267075,"about_ca_system_score_gemma":0.001809409,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001655403,"about_ca_topic_score_gemma":0.0007924092,"domain_scores_codex":[0.9971989,0.0009617374,0.0001549726,0.0006872307,0.0006226222,0.000374359],"domain_scores_gemma":[0.9886507,0.006887007,0.0007739568,0.00104134,0.001293748,0.001353336],"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":[0.00001202494,0.000005677438,0.00003931269,0.00003029098,0.000006406533,0.00001895685,0.00004637492,0.001311262,0.0002716205,0.9959395,0.0006466149,0.001671874],"study_design_scores_gemma":[0.000008325778,0.00002271562,0.00008071981,0.00002613408,0.00001114184,0.00005320589,0.00002346197,0.0273065,0.0002321625,0.9689307,0.003281299,0.00002345369],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04440381,0.004509641,0.8571205,0.006350053,0.001259329,0.00009328261,0.0009840925,0.0004216043,0.08485772],"genre_scores_gemma":[0.8401651,0.005136169,0.08454403,0.003417258,0.004083938,0.0004049016,0.0007337101,0.0006297086,0.06088515],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01564867,"threshold_uncertainty_score":0.05234998,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07992995489309905,"score_gpt":0.3200380404674822,"score_spread":0.2401080855743832,"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."}}