{"id":"W4417331967","doi":"10.3390/stats8040118","title":"Korovkin-Type Approximation Theorems for Statistical Gauge Integrable Functions of Two Variables","year":2025,"lang":"en","type":"article","venue":"Stats","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Integrable system; Gauge (firearms); Banach space; Linear operators; Robustness (evolution); Limit (mathematics); Gauge theory","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007182789,0.0001199524,0.0002343707,0.0001068512,0.0001381985,0.0000273838,0.0001263141,0.00006087685,0.0004372994],"category_scores_gemma":[0.00123213,0.0001013707,0.00004920001,0.0002713212,0.0001876049,0.0001383543,0.00002584782,0.00009271444,0.00001046128],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003889246,"about_ca_system_score_gemma":0.0001215746,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000019223,"about_ca_topic_score_gemma":0.00001598186,"domain_scores_codex":[0.9990613,0.00009663185,0.0003408132,0.0001830736,0.0001306814,0.0001874818],"domain_scores_gemma":[0.9980297,0.00130208,0.0001402013,0.0002422177,0.0002509516,0.00003484884],"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":[0.0001153009,0.0001003507,0.00002684564,0.0002834956,0.00004866634,2.642566e-7,0.0004087478,0.00003674939,0.001649314,0.9885983,0.00672215,0.002009795],"study_design_scores_gemma":[0.0004644482,0.00008393449,0.00001028551,0.00007351145,0.00006886298,0.000001034162,0.0009773189,0.005693711,0.006903032,0.9843898,0.001240656,0.00009335423],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01630108,0.00003227249,0.954403,0.0001516743,0.0002848011,0.0005288073,0.0002185175,0.00007747636,0.02800237],"genre_scores_gemma":[0.8015938,0.000008426508,0.1925896,0.00006959805,0.00004044076,0.00009599982,0.0001612681,0.00001940584,0.005421511],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7852927,"threshold_uncertainty_score":0.4788122,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04596983138779122,"score_gpt":0.3654803443482419,"score_spread":0.3195105129604507,"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."}}