{"id":"W3092057726","doi":"10.1007/s11854-023-0289-9","title":"A note on Fourier restriction and nested Polynomial Wolff axioms","year":2023,"lang":"fr","type":"article","venue":"Journal d Analyse Mathématique","topic":"Tensor decomposition and applications","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Axiom; Conjecture; Mathematics; Fourier transform; Polynomial; Combinatorics; Range (aeronautics); Fourier series; Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry; Engineering","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":[0.003421102,0.001008398,0.001592352,0.002078941,0.002556794,0.002919336,0.001759852,0.002708428,0.007353727],"category_scores_gemma":[0.007836394,0.000815502,0.001853895,0.001841388,0.008259066,0.01734152,0.004533733,0.00772621,0.0009809312],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001514965,"about_ca_system_score_gemma":0.0007860815,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001624911,"about_ca_topic_score_gemma":0.001355735,"domain_scores_codex":[0.9985186,0.000520627,0.00009991538,0.000301437,0.0003715889,0.000187858],"domain_scores_gemma":[0.9956881,0.002870278,0.0002040209,0.0006237652,0.0003753253,0.0002384821],"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":[0.000007620424,0.000005232348,0.00002940583,0.0000122565,0.000002237283,0.00004285093,0.00009113042,0.0001007731,0.0001437768,0.9968807,0.001026758,0.001657269],"study_design_scores_gemma":[0.00000394077,0.000005180647,0.00005052384,0.00000539234,0.000003481799,0.00006719544,0.00002747919,0.0006643568,0.0001389335,0.9947129,0.004312159,0.000008413938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08734695,0.008066663,0.5519666,0.02243345,0.005388574,0.00008017191,0.0005333859,0.0005435104,0.3236407],"genre_scores_gemma":[0.739917,0.006696017,0.1708167,0.004005267,0.006903262,0.000175262,0.0004163303,0.0005935252,0.07047654],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007353727,"threshold_uncertainty_score":0.02460063,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03407618997216939,"score_gpt":0.3339062749361032,"score_spread":0.2998300849639338,"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."}}