{"id":"W3185852648","doi":"10.70930/tac/mf938iac","title":"Double Categories of Relations","year":2022,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Allegory; Mathematics; Categorical variable; Pure mathematics; Characterization (materials science); Cartesian closed category; Factorization; Algebra over a field; History; Algorithm; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007211514,0.0003781698,0.0003317679,0.002296191,0.001294782,0.002510454,0.000569862,0.0004922117,0.005455799],"category_scores_gemma":[0.001338535,0.000193617,0.0003607628,0.001126382,0.003898019,0.005046608,0.004372783,0.00102617,0.0005476071],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009222298,"about_ca_system_score_gemma":0.0005326137,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001048267,"about_ca_topic_score_gemma":0.0006956218,"domain_scores_codex":[0.9989002,0.0002050927,0.00007703414,0.0003131045,0.0003112708,0.0001933206],"domain_scores_gemma":[0.9988559,0.0002189541,0.0001125759,0.000223537,0.0003259228,0.000263183],"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":[0.00001171364,0.000004843083,0.0004940209,0.00003831894,0.000004394606,0.00007334627,0.0006776582,0.0001061542,0.0008620271,0.9888286,0.000851297,0.008047614],"study_design_scores_gemma":[0.000007622053,0.0000489563,0.001994435,0.00006430958,0.00001657789,0.0009095344,0.001775492,0.001291755,0.002102508,0.8380108,0.1537549,0.00002305362],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3501294,0.006639392,0.3007745,0.002260942,0.0008328214,0.0001225272,0.001146619,0.0007185826,0.3373753],"genre_scores_gemma":[0.9568279,0.0007888848,0.02196884,0.0004290442,0.0001744183,0.00008841921,0.0005394521,0.00008015223,0.01910289],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005455799,"threshold_uncertainty_score":0.01825142,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01756752066839818,"score_gpt":0.2875029880563585,"score_spread":0.2699354673879604,"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."}}