{"id":"W3169051165","doi":"10.1090/tran/8629","title":"Mean oscillation bounds on rearrangements","year":2022,"lang":"lv","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Centre de Recherches Mathématiques","keywords":"Dimension (graph theory); Mathematics; Oscillation (cell signaling); Order (exchange); Combinatorics; Bounded function; Exponential function; Function (biology); Bounded mean oscillation; Pure mathematics; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001826078,0.000714129,0.001736883,0.0001431956,0.001174382,0.0000873504,0.002005129,0.0002102227,0.008172346],"category_scores_gemma":[0.0003196451,0.0005604193,0.003274714,0.001693865,0.002050678,0.000106742,0.0004706281,0.002745479,0.000152754],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001330736,"about_ca_system_score_gemma":0.0003402723,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00020135,"about_ca_topic_score_gemma":0.0000138658,"domain_scores_codex":[0.9927998,0.0008468975,0.001568848,0.0009632295,0.003008624,0.0008126471],"domain_scores_gemma":[0.9926874,0.001903428,0.001878048,0.003006681,0.0002879016,0.000236521],"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":[0.002943635,0.03927903,0.001062978,0.0272243,0.0517027,0.00002445511,0.1374635,0.2838006,0.01434915,0.3266975,0.0284503,0.0870019],"study_design_scores_gemma":[0.002539631,0.001550234,0.001378992,0.001654675,0.006447107,0.00002550508,0.03954678,0.1548646,0.002471909,0.7754964,0.01138637,0.002637776],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1435299,0.0001128375,0.8305347,0.004247048,0.0004377139,0.003097841,0.0006840511,0.0002344727,0.01712142],"genre_scores_gemma":[0.9154232,0.0009377543,0.06952304,0.0003455842,0.0001315566,0.0004721526,0.00003304943,0.0002454152,0.01288823],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7718933,"threshold_uncertainty_score":0.9996848,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05809049475598071,"score_gpt":0.3671651428087296,"score_spread":0.3090746480527489,"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."}}