{"id":"W2783343672","doi":"10.1007/s00039-018-0455-x","title":"A discretized Severi-type theorem with applications to harmonic analysis","year":2018,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Hypersurface; Hausdorff dimension; Discretization; Upper and lower bounds; Dimension (graph theory); Function (biology); Quadratic equation; Paraboloid","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":[0.001177639,0.0009503464,0.0009658194,0.002378194,0.001143941,0.002096176,0.001397535,0.00139379,0.01087826],"category_scores_gemma":[0.003874548,0.0003553883,0.001256355,0.001681021,0.003064492,0.003775134,0.002684171,0.00329707,0.001460821],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001085624,"about_ca_system_score_gemma":0.0006334043,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008117754,"about_ca_topic_score_gemma":0.0007517955,"domain_scores_codex":[0.9995444,0.000162373,0.00002399652,0.00009558642,0.0001296265,0.00004401345],"domain_scores_gemma":[0.9989724,0.0004448198,0.0001028804,0.000118117,0.0002173905,0.0001444919],"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":[0.00001321772,0.00001428363,0.0001433913,0.00005519167,0.00001145554,0.00005101354,0.0000604644,0.002202581,0.0009653104,0.9851648,0.002640798,0.008677472],"study_design_scores_gemma":[0.000006143324,0.0000127455,0.0001239398,0.00001355413,0.000006583185,0.00008301828,0.00003270958,0.02521916,0.0001943317,0.9694259,0.004872534,0.000009520812],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02788632,0.003581645,0.8717626,0.004052632,0.002068851,0.00003876299,0.0003105104,0.0002508619,0.09004784],"genre_scores_gemma":[0.6570833,0.006747788,0.2368005,0.002458534,0.00515251,0.0001984816,0.0006533042,0.0004943653,0.09041125],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01087826,"threshold_uncertainty_score":0.03639144,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0487526871820962,"score_gpt":0.3319732052923884,"score_spread":0.2832205181102923,"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."}}