{"id":"W4309002420","doi":"10.4153/s0008439522000686","title":"Słociński–Wold decompositions for row isometries","year":2022,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Decomposition; Lebesgue integration; Pure mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0008780741,0.0001934357,0.0003467354,0.0002431714,0.0009080697,0.00006296401,0.0003973509,0.00007756224,0.05628315],"category_scores_gemma":[0.0007866321,0.0001967624,0.0001712392,0.0002741461,0.000116994,0.00002373659,0.00008347231,0.0002739873,0.001881604],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003263111,"about_ca_system_score_gemma":0.000262635,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001415426,"about_ca_topic_score_gemma":0.000311909,"domain_scores_codex":[0.9983974,0.0001228498,0.0003787455,0.0002756748,0.0002539556,0.00057139],"domain_scores_gemma":[0.9976536,0.001269015,0.00006892369,0.0004084637,0.00007497719,0.0005250072],"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":[0.00001234721,0.00009121151,0.000007924727,0.00008075932,0.00004329074,0.00002580294,0.000401382,0.0000062829,0.00004479349,0.7968113,0.2023221,0.0001528345],"study_design_scores_gemma":[0.0004098246,0.0001115365,0.000005537581,0.00002027962,0.0000661415,0.00007737547,0.000954858,0.0001825266,0.000191913,0.6021836,0.3955216,0.0002747845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5312505,0.0008357987,0.09264173,0.1064636,0.001343663,0.007101921,0.004534862,0.000998831,0.2548291],"genre_scores_gemma":[0.9446784,0.000002733545,0.03050497,0.004411723,0.0001770564,0.00112225,0.00007107104,0.000116777,0.01891506],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4134278,"threshold_uncertainty_score":0.9988955,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04138903042272424,"score_gpt":0.2865028124074969,"score_spread":0.2451137819847726,"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."}}