{"id":"W2552791781","doi":"10.70930/tac/ni6k9ngm","title":"The Waves of a Total Category","year":2015,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Distributive property; Combinatorics; Invertible matrix; Functor; Discrete mathematics; Pure mathematics","routes":{"ca_aff":false,"ca_fund":true,"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":[0.001071264,0.0002992672,0.0004328882,0.001506131,0.001567336,0.00339726,0.0006502049,0.0005785683,0.008575013],"category_scores_gemma":[0.001750187,0.0004874778,0.0005341891,0.00124823,0.003645878,0.008430231,0.004889019,0.001712214,0.001105994],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001247529,"about_ca_system_score_gemma":0.0006925192,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001667944,"about_ca_topic_score_gemma":0.001341761,"domain_scores_codex":[0.998935,0.0001751178,0.00006444615,0.0001952003,0.0004493049,0.0001809496],"domain_scores_gemma":[0.9988297,0.0002200102,0.00007064454,0.0002264297,0.0004679393,0.0001852993],"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":[0.000008032643,0.000002633148,0.0001056569,0.00001058196,0.000002691584,0.00003091279,0.0003230982,0.00007172463,0.0003789349,0.9959073,0.0005298093,0.002628661],"study_design_scores_gemma":[0.00001133164,0.00001658625,0.0005616617,0.00001809751,0.000009188487,0.0002151514,0.0006145506,0.002168609,0.00095801,0.9720239,0.02338854,0.00001433494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2790775,0.001160729,0.3999043,0.002221874,0.0004487208,0.0001229305,0.0007600978,0.0006418544,0.3156618],"genre_scores_gemma":[0.8785399,0.0004984382,0.02997459,0.0003433349,0.0001256999,0.0001608749,0.0004274539,0.0002422797,0.08968753],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008575013,"threshold_uncertainty_score":0.02868629,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02076366759801084,"score_gpt":0.2932381090638077,"score_spread":0.2724744414657969,"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."}}