{"id":"W2963372826","doi":"10.1016/j.spl.2018.07.003","title":"Gradient and stability estimates of heat kernels for fractional powers of elliptic operator","year":2018,"lang":"en","type":"article","venue":"Statistics & Probability Letters","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"Natural Science Foundation of Zhejiang Province; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Elliptic operator; Operator (biology); Stability (learning theory); Mathematical analysis; Applied mathematics; Pure mathematics; Calculus (dental)","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":[0.0005738421,0.0001641853,0.0003577842,0.00005143648,0.0001232933,0.00003477229,0.0001120765,0.00004946222,0.0001584855],"category_scores_gemma":[0.0008550744,0.0001456867,0.00006286087,0.00009125959,0.0009434939,0.0001006347,0.00004850302,0.00007683217,0.00000142741],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006782258,"about_ca_system_score_gemma":0.00009290437,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001256105,"about_ca_topic_score_gemma":0.00008643288,"domain_scores_codex":[0.9985394,0.00006220827,0.0006216784,0.0003051995,0.0002549502,0.0002165742],"domain_scores_gemma":[0.9979503,0.001053843,0.0001671794,0.0003184534,0.0004373054,0.00007295994],"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":[0.0003024706,0.001269022,0.01957176,0.003649807,0.0002818383,9.843176e-7,0.003377758,0.00001487073,0.06393315,0.9027402,0.002166179,0.002692],"study_design_scores_gemma":[0.0005795747,0.0004844772,0.002274638,0.00006124808,0.0001321257,0.000002648354,0.0000486292,0.003725877,0.01109539,0.9812609,0.0001502629,0.0001842476],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5150573,0.000008284221,0.4835941,0.0001830813,0.0001028399,0.0005080741,0.0005150867,0.00001234757,0.00001895583],"genre_scores_gemma":[0.5716478,0.000001955557,0.4281983,0.00004471907,0.00002504846,0.00003523692,0.00003093065,0.00001240621,0.000003615787],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07852073,"threshold_uncertainty_score":0.5940931,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05560927858823885,"score_gpt":0.3128239942427405,"score_spread":0.2572147156545017,"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."}}