{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007426551,0.0004962689,0.0004043839,0.002198863,0.001083414,0.002056236,0.0005568266,0.000717191,0.003170088],"category_scores_gemma":[0.001903674,0.0002121736,0.000480874,0.001313815,0.003448304,0.004774642,0.002127769,0.00161054,0.0006069092],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000994846,"about_ca_system_score_gemma":0.0004880848,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007614071,"about_ca_topic_score_gemma":0.0006018374,"domain_scores_codex":[0.9991744,0.0001575028,0.00005413581,0.0002170191,0.0002974963,0.00009940419],"domain_scores_gemma":[0.9990702,0.0002255436,0.000116016,0.0001960482,0.0002413919,0.0001507727],"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":[0.000003805233,0.000002843369,0.0001160895,0.00001001869,0.000001956048,0.00002732904,0.0001346759,0.0002338796,0.0003079982,0.9959345,0.0003162074,0.00291072],"study_design_scores_gemma":[0.000002319676,0.000009274398,0.0002971014,0.000008217351,0.00000289364,0.0001672572,0.00009787616,0.001754655,0.0004104591,0.9826788,0.01456087,0.00001022399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3076586,0.003656568,0.5173618,0.00233425,0.0003368027,0.00007997045,0.001082738,0.000586558,0.1669026],"genre_scores_gemma":[0.9129012,0.001065645,0.06331244,0.0004441517,0.0002400797,0.00007925977,0.0005074398,0.00006797114,0.02138189],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003170088,"threshold_uncertainty_score":0.01060504,"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."}}