{"id":"W4412536195","doi":"10.1007/s12220-025-02109-x","title":"A Dyadic Approach to Weak Characterizations of Function Spaces","year":2025,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Differential geometry; Fourier analysis; Pure mathematics; Function (biology); Mathematical analysis; Fourier transform","routes":{"ca_aff":true,"ca_fund":false,"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":[0.002534961,0.001321876,0.001453737,0.006182416,0.002510589,0.005465922,0.001857455,0.00149812,0.009807844],"category_scores_gemma":[0.004816369,0.0007822154,0.001426948,0.003896164,0.005405082,0.01421668,0.005659836,0.005504454,0.001122459],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002475994,"about_ca_system_score_gemma":0.0006358672,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001346169,"about_ca_topic_score_gemma":0.001062285,"domain_scores_codex":[0.9983227,0.0007101342,0.0001191456,0.0002991606,0.0003156968,0.0002332175],"domain_scores_gemma":[0.9970759,0.001229978,0.0002710354,0.0003902097,0.0006368727,0.0003960935],"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":[0.000003959696,0.000003162824,0.00004144194,0.000009340123,0.000002352858,0.00001128593,0.00008671734,0.0001212295,0.0001685402,0.9980518,0.0002635368,0.001236648],"study_design_scores_gemma":[0.0000054655,0.00001659088,0.0001235428,0.00001322072,0.000008974122,0.00004412086,0.0001915447,0.003474655,0.0001926776,0.9893182,0.006602704,0.000008338582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06984852,0.003841193,0.8350294,0.005271592,0.0006776964,0.00004940002,0.0003476315,0.0002029076,0.08473161],"genre_scores_gemma":[0.7711197,0.004954759,0.1503828,0.001386795,0.002582018,0.0002788667,0.0005715244,0.0004771223,0.06824656],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009807844,"threshold_uncertainty_score":0.03281057,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04307959623592108,"score_gpt":0.3552285774870059,"score_spread":0.3121489812510848,"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."}}