{"id":"W3021221198","doi":"10.4153/cmb-2010-085-3","title":"On the Generalized Marcinkiewicz Integral Operators with Rough Kernels","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Pure mathematics; Class (philosophy); Fourier integral operator; Mathematical analysis; Operator theory","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":["insufficient_payload"],"category_scores_codex":[0.0009787346,0.0003416305,0.0004685415,0.0001713079,0.0003510953,0.0001599316,0.0008085122,0.0001714913,0.06570951],"category_scores_gemma":[0.003157413,0.0001892891,0.0001519051,0.0003683759,0.0004081018,0.00003864812,0.00007007139,0.001192236,0.00842754],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001808653,"about_ca_system_score_gemma":0.000375096,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007481548,"about_ca_topic_score_gemma":0.006556077,"domain_scores_codex":[0.9974871,0.0001733293,0.0004185363,0.0004302584,0.0006317101,0.0008590819],"domain_scores_gemma":[0.9962402,0.001622396,0.00008917265,0.001086674,0.0001822809,0.0007792767],"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":[0.00002181935,0.00005682939,0.00002249431,0.00003057199,0.00007486832,0.00007316452,0.0002026696,0.000007245874,0.0001222334,0.951063,0.04801648,0.0003085663],"study_design_scores_gemma":[0.0007065962,0.0001225178,0.00003520516,0.000129734,0.00008926409,0.00008285446,0.000359772,0.001816978,0.00102101,0.8977627,0.09732225,0.0005511614],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8379403,0.0000323502,0.01297372,0.05215345,0.0001127137,0.001535456,0.0000504767,0.0001710432,0.09503045],"genre_scores_gemma":[0.9586426,0.000004716529,0.0230956,0.002477603,0.0001368036,0.000213793,0.000008207028,0.0001144203,0.01530626],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1207023,"threshold_uncertainty_score":0.9923445,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03521863080271767,"score_gpt":0.3002454059500471,"score_spread":0.2650267751473294,"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."}}