{"id":"W4386093894","doi":"10.4204/eptcs.384.10","title":"Moore-Penrose Dagger Categories","year":2023,"lang":"en","type":"article","venue":"Electronic Proceedings in Theoretical Computer Science","topic":"Quantum Mechanics and Applications","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Kyoto University Foundation","keywords":"Dagger; Mathematics; Inverse; Singular value decomposition; Pure mathematics; Context (archaeology); Polar decomposition; Algebra over a field; Quantum mechanics; Physics; Algorithm; Geometry; Polar","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.0009148529,0.0001409323,0.0001434617,0.000184888,0.0002898276,0.0002034631,0.0007424263,0.00002642515,0.0001064516],"category_scores_gemma":[0.00001427298,0.0001241009,0.00004223817,0.002155825,0.0006559556,0.0002541846,0.0003036126,0.0002880305,0.0001614144],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006738556,"about_ca_system_score_gemma":0.0001666336,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007118784,"about_ca_topic_score_gemma":3.470015e-7,"domain_scores_codex":[0.9981195,0.000005468225,0.0001990876,0.0004952428,0.000312469,0.0008681948],"domain_scores_gemma":[0.9995335,0.00004664606,0.00004707133,0.0001596977,0.0001012131,0.0001118568],"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":[0.000002438392,0.0000352388,0.0006572066,0.00000269451,0.000002552513,3.418206e-7,0.0002255106,0.000006823128,0.0012733,0.9936336,0.0001417384,0.004018573],"study_design_scores_gemma":[0.0001316048,0.00005788491,0.0006136881,0.000009249824,0.000002623153,0.000001431167,0.0000647634,0.1036066,0.005810773,0.8891067,0.0004464329,0.0001482861],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8759428,0.0000206149,0.1106834,0.001394589,0.0002008541,0.0003350682,0.000003651935,0.0002241572,0.01119481],"genre_scores_gemma":[0.9991648,0.000003451058,0.0004682427,0.00007330975,0.0001787728,0.00006848278,0.00000362079,0.0000125948,0.00002677769],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1232219,"threshold_uncertainty_score":0.5060689,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005907617392832552,"score_gpt":0.2489094138328918,"score_spread":0.2430017964400593,"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."}}