{"id":"W3014465374","doi":"10.1007/s12220-020-00502-2","title":"Almost-Orthogonality Principles for Certain Directional Maximal Functions","year":2020,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Orthogonality; Mathematics; Computer science; Topology (electrical circuits); Pure mathematics; Geometry; Combinatorics","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":[0.001406352,0.0007727231,0.0006504221,0.001934149,0.001111485,0.002234905,0.0008484299,0.0008461637,0.005510959],"category_scores_gemma":[0.002939826,0.0005302295,0.0008953336,0.0008513246,0.002196029,0.003369106,0.002610988,0.002475766,0.0006395555],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006576709,"about_ca_system_score_gemma":0.0005195353,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004197311,"about_ca_topic_score_gemma":0.0005822518,"domain_scores_codex":[0.9993035,0.0001457936,0.00003660251,0.0001062478,0.0002701203,0.0001377104],"domain_scores_gemma":[0.9984902,0.0006244474,0.0001703199,0.0001338821,0.000339534,0.0002414652],"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":[0.000009639496,0.0000102903,0.00007943573,0.000007738915,0.000003280061,0.00002128911,0.00004191928,0.0003235553,0.000781403,0.9962096,0.0003669741,0.0021448],"study_design_scores_gemma":[0.000009329114,0.00001759515,0.0002522208,0.000008723133,0.000006337257,0.0001055785,0.00006209082,0.008940611,0.0006482872,0.9878581,0.002079755,0.00001141556],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.311638,0.0006455401,0.5771096,0.001144951,0.0002393178,0.00006708725,0.0002811956,0.0001647372,0.1087096],"genre_scores_gemma":[0.8851275,0.0008680857,0.07908668,0.0005704683,0.000327802,0.0001252373,0.0003735873,0.000284185,0.03323645],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005510959,"threshold_uncertainty_score":0.01843596,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03342895993005485,"score_gpt":0.2630170660288282,"score_spread":0.2295881060987734,"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."}}