{"id":"W4362667046","doi":"10.1142/s0219199723500165","title":"Real order total variation with applications to the loss functions in learning schemes","year":2023,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Lakehead University","funders":"Beijing Nova Program","keywords":"Mathematics; Order (exchange); Function (biology); Scheme (mathematics); Variation (astronomy); Applied mathematics; Pure mathematics; Derivative (finance); Calculus (dental); Mathematical analysis","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":[0.005211286,0.001369333,0.000848916,0.001437694,0.000560249,0.002223002,0.001220841,0.001577397,0.001574908],"category_scores_gemma":[0.01105912,0.0003579674,0.000982502,0.001072648,0.00453653,0.003550447,0.003141617,0.00429611,0.0004153356],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001685922,"about_ca_system_score_gemma":0.0008613909,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006503196,"about_ca_topic_score_gemma":0.0004508712,"domain_scores_codex":[0.9984177,0.0007708513,0.00008653035,0.0001707843,0.0004658554,0.00008820605],"domain_scores_gemma":[0.9953081,0.002806525,0.0004712084,0.000512531,0.0006110385,0.0002906848],"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":[0.00003269899,0.00002187376,0.0002394831,0.0001144882,0.00001643992,0.00006365478,0.0001284848,0.04151128,0.001687574,0.9373966,0.0009815842,0.01780575],"study_design_scores_gemma":[0.000007989014,0.00007397314,0.0001999158,0.00005230659,0.000009719882,0.00009412602,0.00002743409,0.4361414,0.001394002,0.5559435,0.006033992,0.00002167981],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.009981319,0.002255687,0.9787425,0.001085459,0.0002058412,0.00002667269,0.00004094935,0.00008713387,0.00757437],"genre_scores_gemma":[0.5949975,0.006532625,0.3786297,0.0007822264,0.001233836,0.0002790057,0.0002069576,0.0005066172,0.01683156],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005211286,"threshold_uncertainty_score":0.02756023,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1731951195468285,"score_gpt":0.3804021942144388,"score_spread":0.2072070746676103,"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."}}