{"id":"W4385520054","doi":"10.4171/jems/1370","title":"Volume entropy semi-norm and systolic volume semi-norm","year":2023,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Toronto; Agence Nationale de la Recherche","keywords":"Mathematics; Norm (philosophy); Volume (thermodynamics); Pure mathematics; Entropy (arrow of time); Simplicial complex; Combinatorics; Thermodynamics","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":[0.001885914,0.0007086175,0.0005962827,0.002642074,0.0008510886,0.002432198,0.001236226,0.000779898,0.004389014],"category_scores_gemma":[0.008235089,0.0002941988,0.0006149239,0.0009936511,0.004504724,0.007208535,0.003831344,0.001951921,0.0007661924],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007087762,"about_ca_system_score_gemma":0.0004333061,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002629047,"about_ca_topic_score_gemma":0.0002650144,"domain_scores_codex":[0.9982059,0.0004055412,0.0001127675,0.0003228513,0.0007463581,0.0002065273],"domain_scores_gemma":[0.9951656,0.001913033,0.0006320382,0.0005902098,0.001019525,0.0006795956],"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":[0.00004606317,0.00001792264,0.0007614891,0.00006820457,0.00001273738,0.00005929809,0.0001803869,0.003099397,0.004128824,0.9786381,0.000721431,0.01226601],"study_design_scores_gemma":[0.000006812667,0.00007890772,0.001222672,0.00002977155,0.00001196018,0.0002447357,0.0001475308,0.02670437,0.004140407,0.9605255,0.006863158,0.00002427028],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2055352,0.00210162,0.735371,0.001880772,0.0005020179,0.00004754182,0.0005198524,0.0004936936,0.0535484],"genre_scores_gemma":[0.8987963,0.001082003,0.08766504,0.0003526054,0.0008611747,0.0001364621,0.0005630864,0.0003138094,0.0102296],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004389014,"threshold_uncertainty_score":0.01468271,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0146533429264468,"score_gpt":0.2267305610091983,"score_spread":0.2120772180827515,"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."}}