{"id":"W3112305346","doi":"10.4153/s0008439520000946","title":"An estimate for the composition of rough singular integral operators","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Omega; Kernel (algebra); Bounded function; Unit sphere; Type (biology); Operator (biology); Singular integral operators; Homogeneous; Combinatorics; Singular integral; Mathematical analysis; Pure mathematics; Integral equation; Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004610022,0.0001678227,0.0003759271,0.00006269036,0.0001915211,0.00005695688,0.0004935719,0.00008307186,0.0032339],"category_scores_gemma":[0.001081196,0.0001187017,0.0001491249,0.0002134512,0.0001842799,0.00004516612,0.00003227518,0.0002115804,0.0003798764],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001084276,"about_ca_system_score_gemma":0.0001724559,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001911681,"about_ca_topic_score_gemma":0.0001750846,"domain_scores_codex":[0.9985589,0.00008706349,0.0004254275,0.0002469152,0.0002777287,0.0004039222],"domain_scores_gemma":[0.9979684,0.000797967,0.00008943836,0.0003992738,0.0001953937,0.000549486],"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":[0.0000740109,0.000139741,0.00002657349,0.0005561691,0.0001929354,0.00002551863,0.00199224,0.0004423607,0.001568782,0.972719,0.01830399,0.003958755],"study_design_scores_gemma":[0.001351976,0.0005518192,0.00003399688,0.0002236684,0.0004567732,0.00002769166,0.002950337,0.4478028,0.007705564,0.4766804,0.06148867,0.0007263006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05779592,0.0001682141,0.8918376,0.04679893,0.00004589368,0.00145279,0.0001216693,0.00009196155,0.001687033],"genre_scores_gemma":[0.89793,0.000005243311,0.1008188,0.0008419964,0.0001422754,0.00008231647,0.00002180673,0.00005347726,0.0001041689],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.840134,"threshold_uncertainty_score":0.9976773,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06731385629325815,"score_gpt":0.3657194960507962,"score_spread":0.298405639757538,"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."}}