{"id":"W3100625563","doi":"10.1016/j.aim.2021.107602","title":"Discretization of integrals on compact metric measure spaces","year":2021,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Measure (data warehouse); Discretization; Metric (unit); Metric space; Compact space; Mathematical analysis; Pure mathematics; Algebra over a field","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":[0.00134827,0.0007332744,0.001115427,0.001610504,0.000639224,0.003077536,0.001493875,0.001248805,0.002911863],"category_scores_gemma":[0.003766605,0.0004858253,0.0007823175,0.001012229,0.002186266,0.003272253,0.001794399,0.002229007,0.000339679],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001796667,"about_ca_system_score_gemma":0.0007857644,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001390669,"about_ca_topic_score_gemma":0.001416074,"domain_scores_codex":[0.9992934,0.0002354709,0.00004669811,0.00007350626,0.000286279,0.00006454642],"domain_scores_gemma":[0.9985865,0.0006988473,0.0001339975,0.0001531905,0.0002435603,0.000183819],"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":[0.00002760997,0.00003802407,0.0001704607,0.00006570541,0.00001943571,0.00005397563,0.0001435034,0.0270641,0.001370203,0.9643117,0.000688865,0.006046447],"study_design_scores_gemma":[0.00001541268,0.00002251893,0.0001719613,0.0000277227,0.00000806838,0.00006021385,0.0000750613,0.3192438,0.00054011,0.6773043,0.002516935,0.00001374787],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09405624,0.002384201,0.8771259,0.0009472137,0.0005069663,0.00004553333,0.0001946386,0.0001624081,0.02457695],"genre_scores_gemma":[0.7847174,0.002157921,0.1863976,0.0002681139,0.0003725904,0.0001120739,0.0004607279,0.0002854835,0.02522815],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003077536,"threshold_uncertainty_score":0.01303577,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05734892797190508,"score_gpt":0.394078069082229,"score_spread":0.3367291411103239,"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."}}