{"id":"W4406840673","doi":"10.48550/arxiv.2501.14153","title":"Totally Bounded Elements in W*-probability Spaces","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Rough Sets and Fuzzy Logic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Bounded function; Mathematics; Pure mathematics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001142635,0.0005274322,0.0004256841,0.001001476,0.0009996288,0.001754699,0.0008156738,0.0004400667,0.003087199],"category_scores_gemma":[0.002085053,0.0003154131,0.0008037048,0.0006820718,0.003003704,0.003654422,0.002358897,0.00142637,0.0006127827],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008078284,"about_ca_system_score_gemma":0.0005480207,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007033384,"about_ca_topic_score_gemma":0.0004850742,"domain_scores_codex":[0.9986756,0.0002958222,0.00007957262,0.0002645289,0.0004373903,0.0002470532],"domain_scores_gemma":[0.9986644,0.0003597993,0.0001818436,0.0001588503,0.0003733745,0.0002618179],"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":[0.000010353,0.000006152485,0.000165512,0.00001944344,0.00000581405,0.0000499262,0.000236283,0.0007952198,0.001619685,0.9947551,0.000200158,0.002136286],"study_design_scores_gemma":[0.000006556355,0.00004229689,0.000374077,0.00001130515,0.000006230052,0.0001106361,0.0001781133,0.01085719,0.002437787,0.9803143,0.005645252,0.00001625018],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3282459,0.0009818168,0.6218515,0.0006716667,0.0001644659,0.00006130079,0.0003446422,0.0002943575,0.04738435],"genre_scores_gemma":[0.9200065,0.0004506307,0.06494828,0.0002588508,0.0002171447,0.0001438364,0.0003990544,0.00009487561,0.01348081],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003087199,"threshold_uncertainty_score":0.0103277,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0578598734075105,"score_gpt":0.2883210594363184,"score_spread":0.2304611860288079,"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."}}