{"id":"W4406267691","doi":"10.1007/s44007-024-00145-7","title":"A Trace Principle for Fractional Laplacian with an Application to Image Processing","year":2025,"lang":"en","type":"article","venue":"La Matematica","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Fractional Laplacian; Bounded function; Space (punctuation); Physics; Sobolev space; Mathematics; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009683185,0.0009589276,0.0009076275,0.002086365,0.0009017385,0.00201169,0.001080784,0.002202689,0.003348225],"category_scores_gemma":[0.00233675,0.0004047193,0.00159842,0.001624773,0.002563493,0.002754561,0.00232303,0.002614436,0.0006081081],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006558404,"about_ca_system_score_gemma":0.0008600746,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001102217,"about_ca_topic_score_gemma":0.0009979944,"domain_scores_codex":[0.999701,0.00009645015,0.00001997279,0.00006737467,0.00008618576,0.0000289497],"domain_scores_gemma":[0.9993462,0.0002876206,0.00006015328,0.00005582892,0.0001512813,0.00009891898],"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":[0.00001969685,0.00003122181,0.00006588807,0.00007326823,0.00001985904,0.0001447232,0.0001349726,0.006483769,0.005076747,0.9696714,0.001513767,0.01676473],"study_design_scores_gemma":[0.000008882621,0.00004773332,0.0000958427,0.00001778154,0.00001350418,0.0002418833,0.0000428051,0.1179948,0.0009360712,0.8748394,0.005736795,0.00002449522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01473259,0.001851069,0.9650611,0.001365411,0.0006194254,0.00003151383,0.00007985649,0.0001267028,0.01613236],"genre_scores_gemma":[0.4624187,0.009338466,0.4564143,0.001434428,0.003521618,0.0001805747,0.0002713168,0.0006951143,0.06572549],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003348225,"threshold_uncertainty_score":0.01120096,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02805964097681283,"score_gpt":0.378821704360945,"score_spread":0.3507620633841322,"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."}}