{"id":"W2253920850","doi":"10.70930/tac/8myy17cg","title":"Construction of categorical bundles from local data","year":2016,"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":"Science and Engineering Research Board; Department of Science and Technology, Ministry of Science and Technology, India","keywords":"Principal bundle; Categorical variable; Bundle; Functor; Frame bundle; Principal (computer security); Associated bundle; Mathematics; Fiber bundle; Pure mathematics; Parallel transport; Normal bundle; Vector bundle; Computer science; Statistics","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":[0.001850329,0.0005089905,0.000535276,0.002131052,0.001559273,0.002844681,0.001111541,0.0007976636,0.006055119],"category_scores_gemma":[0.002846866,0.0005963393,0.0007481431,0.00113918,0.004749379,0.006500043,0.006768363,0.002331775,0.001375669],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001174936,"about_ca_system_score_gemma":0.0009163377,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005501882,"about_ca_topic_score_gemma":0.0006982733,"domain_scores_codex":[0.998626,0.0004476241,0.00007343909,0.0002396936,0.0004435423,0.0001696921],"domain_scores_gemma":[0.9984862,0.0003656947,0.0001077139,0.0003521499,0.0003264534,0.0003617246],"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":[0.0000087053,0.00001295427,0.0002749745,0.00002743596,0.000005138454,0.0001728566,0.0005613922,0.0004912865,0.001443754,0.9921352,0.0006003937,0.004265799],"study_design_scores_gemma":[0.00001695938,0.00003732383,0.0005485423,0.00002710407,0.00001146282,0.0003100432,0.0005252599,0.005651928,0.002703058,0.9662582,0.02388101,0.00002911421],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1301176,0.0004715123,0.8130184,0.001538879,0.0002756083,0.0001543519,0.0004705676,0.00172109,0.05223208],"genre_scores_gemma":[0.7815557,0.0004712309,0.1974861,0.0003646345,0.000193913,0.0002895089,0.0007177755,0.0004562372,0.01846491],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006055119,"threshold_uncertainty_score":0.0202564,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02509435214119342,"score_gpt":0.2954945445820324,"score_spread":0.270400192440839,"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."}}