{"id":"W2952029228","doi":"10.48550/arxiv.1806.09027","title":"Joint similarity for commuting families of power bounded matrices","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Bounded function; Contraction (grammar); Similarity (geometry); Mathematics; Hilbert space; Space (punctuation); Bounded operator; Power (physics); Operator (biology); Pure mathematics; Discrete mathematics; Mathematical analysis; Computer science; Physics; Chemistry","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008603624,0.000324054,0.0006708774,0.0001966138,0.0002202517,0.0000414585,0.0006775099,0.0004380193,0.0001645556],"category_scores_gemma":[0.0003608876,0.0003425427,0.0003644153,0.0001925624,0.0004080274,0.0001057104,0.0009111066,0.0004291161,0.00001882057],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001284852,"about_ca_system_score_gemma":0.000168373,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007107975,"about_ca_topic_score_gemma":0.00004629995,"domain_scores_codex":[0.9984749,0.0001749722,0.0003842757,0.0005504439,0.00009014794,0.0003252855],"domain_scores_gemma":[0.9975201,0.0005244849,0.0005166896,0.0009463896,0.000394789,0.00009747746],"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":[0.0003143715,0.0004272464,0.003330545,0.001783642,0.0005408322,0.00005477511,0.002038543,0.00071763,0.0001960812,0.9866052,0.00393192,0.0000592534],"study_design_scores_gemma":[0.001005556,0.0001696745,0.0003111031,0.0004005752,0.0004301276,0.000002958279,0.002304378,0.007823568,0.002295483,0.9837164,0.0009368752,0.0006033401],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9515159,0.00006231375,0.03921194,0.00002886494,0.0003567099,0.0006013947,0.0001904919,0.0001292607,0.007903167],"genre_scores_gemma":[0.9948804,0.00008277383,0.004087599,0.00005114916,0.00007527599,0.000001631786,0.0000211896,0.00004266968,0.0007572795],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04336458,"threshold_uncertainty_score":0.9999027,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1743337185919855,"score_gpt":0.2430621323109681,"score_spread":0.06872841371898253,"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."}}