{"id":"W1642109817","doi":"10.1093/imrn/rnx231","title":"An Upper Bound for the Volumes of Complements of Periodic Geodesics","year":2017,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Geodesic; Lift (data mining); Mathematics; Unit tangent bundle; Upper and lower bounds; Tangent; Bundle; Tangent bundle; Geometry; Mathematical analysis; Computer science; Tangent space","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":[0.004184405,0.0002452453,0.0006483546,0.0005520883,0.0003276437,0.0002671628,0.003517567,0.0002264891,0.0004883327],"category_scores_gemma":[0.007231345,0.0001761858,0.0002771174,0.0001019894,0.001090973,0.0001335809,0.001248535,0.0005992301,0.00001008882],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008409832,"about_ca_system_score_gemma":0.0003521827,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002728778,"about_ca_topic_score_gemma":0.00008366576,"domain_scores_codex":[0.9963973,0.0001581005,0.0009624393,0.0003736109,0.001700692,0.0004078955],"domain_scores_gemma":[0.9892008,0.006031378,0.001259925,0.001375505,0.002051406,0.00008096761],"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":[0.0001397675,0.002343992,0.002888038,0.006933161,0.002286878,0.000005395525,0.008326381,0.0003546319,0.0003819923,0.9613708,0.007815198,0.007153803],"study_design_scores_gemma":[0.0005095331,0.0001986893,0.001041539,0.0004918323,0.0001347697,0.000003308867,0.002309448,0.05485276,0.0009459477,0.9368988,0.002418927,0.0001944784],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9182977,0.000829631,0.06175258,0.003513245,0.002479921,0.003431008,0.001677233,0.00005417497,0.007964479],"genre_scores_gemma":[0.9461136,0.0001183567,0.05140481,0.00001061183,0.0002804061,0.0001947455,0.00006343963,0.00004717517,0.001766823],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05449813,"threshold_uncertainty_score":0.8657117,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3336976324615724,"score_gpt":0.5239367112226573,"score_spread":0.1902390787610849,"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."}}