{"id":"W3026403835","doi":"10.1090/proc/15171","title":"On the $p$th variation of a class of fractal functions","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Actua; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Variation (astronomy); Class (philosophy); Fractal; Mathematics; Mathematical analysis; Physics; Computer science; Artificial intelligence; Astrophysics","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":[],"consensus_categories":[],"category_scores_codex":[0.0006456741,0.0001931119,0.0006541235,0.00001675411,0.00009070305,0.00001758278,0.0005698927,0.00006531677,0.0001670932],"category_scores_gemma":[0.003727767,0.0001035036,0.000597664,0.0006220296,0.0006923716,0.00006926925,0.0002085492,0.000295869,0.000009191883],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002725003,"about_ca_system_score_gemma":0.00003134113,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005677725,"about_ca_topic_score_gemma":1.088198e-7,"domain_scores_codex":[0.9981365,0.00002133954,0.0007592485,0.0002020084,0.0006717381,0.0002091551],"domain_scores_gemma":[0.9961006,0.001896851,0.001390204,0.0002342201,0.0002934514,0.00008468067],"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":[0.00003950693,0.000452397,0.0001151478,0.0009961739,0.0001898961,2.912172e-8,0.003873846,0.000003798071,0.01903708,0.9718395,0.003307082,0.0001454842],"study_design_scores_gemma":[0.0002312573,0.0003342486,0.0007570868,0.0002357122,0.0002222738,0.000002222323,0.003440678,0.04000034,0.004081639,0.9504789,0.00005619685,0.0001594893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9626805,0.000004926193,0.01529991,0.007411379,0.00002276813,0.0006001577,0.00004292705,0.00004280848,0.01389461],"genre_scores_gemma":[0.9838086,0.000005491206,0.01550311,0.000500671,0.00003765752,0.00002617863,4.409335e-7,0.00002929433,0.00008850804],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03999655,"threshold_uncertainty_score":0.4462755,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0276079698974364,"score_gpt":0.266061082904635,"score_spread":0.2384531130071986,"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."}}