{"id":"W6891979173","doi":"10.48550/arxiv.2308.16497","title":"Moore-Penrose Dagger Categories","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Dagger; Inverse; Context (archaeology); Algebra over a field; Singular value decomposition; Kernel (algebra); Hilbert space","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004264764,0.0004427988,0.0007064127,0.0007499362,0.0002092062,0.00007532569,0.0009330832,0.0004989982,0.0006126282],"category_scores_gemma":[0.0004738905,0.0004701967,0.0005224824,0.001866428,0.0002090325,0.0001400697,0.001457086,0.0007230221,0.001076047],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002285344,"about_ca_system_score_gemma":0.0001818782,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005130527,"about_ca_topic_score_gemma":0.0001801496,"domain_scores_codex":[0.9978803,0.0001117553,0.0003352333,0.001027611,0.0001734933,0.0004715521],"domain_scores_gemma":[0.99731,0.0005560479,0.0003881194,0.001321185,0.0002250897,0.0001995451],"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":[0.00005834935,0.0002634184,0.01895241,0.0005203178,0.001753987,0.001142163,0.0009150955,0.01669722,0.000003703136,0.9219648,0.03745148,0.000277068],"study_design_scores_gemma":[0.0003679225,0.00002621372,0.001427739,0.00006211511,0.0009571298,0.000002425231,0.001015972,0.01107072,0.00002723464,0.9832533,0.001114862,0.0006743462],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7235156,0.0002321268,0.2589043,0.0003066203,0.001117253,0.000617656,0.0001320818,0.001306771,0.01386761],"genre_scores_gemma":[0.9141937,0.0002780314,0.0004610842,0.00004274303,0.0001593694,0.000001813838,0.00007859963,0.00006922941,0.08471541],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2584432,"threshold_uncertainty_score":0.999775,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1983234720416111,"score_gpt":0.2335678698369036,"score_spread":0.03524439779529243,"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."}}