{"id":"W3104517253","doi":"","title":"Homogeneous length functions on groups","year":2018,"lang":"en","type":"article","venue":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Homogeneous; Combinatorics; Homogeneity (statistics); Triangle inequality; Banach space; Homogeneous function; Space (punctuation); Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001043576,0.0004573626,0.0002725903,0.001901358,0.000663759,0.001481398,0.0004418959,0.0004977429,0.003590159],"category_scores_gemma":[0.002480415,0.0002040276,0.0005263406,0.000826234,0.002309121,0.003508118,0.001830288,0.000768869,0.0004849725],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000921029,"about_ca_system_score_gemma":0.0002408903,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003532954,"about_ca_topic_score_gemma":0.000218408,"domain_scores_codex":[0.9992673,0.0002271277,0.00005061055,0.0001305263,0.0001927862,0.0001316759],"domain_scores_gemma":[0.9981965,0.0005763643,0.0003410897,0.0002053394,0.0002774535,0.0004032595],"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":[0.00004410151,0.00001099677,0.0006493203,0.00002463777,0.000006318222,0.00007997824,0.0003452644,0.001122524,0.00399051,0.9855787,0.0003449192,0.007802619],"study_design_scores_gemma":[0.00002096061,0.0001866489,0.002444915,0.00002676657,0.00001483466,0.0003655035,0.0004853937,0.01650148,0.004910835,0.96145,0.01356526,0.00002734704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7901985,0.0007763529,0.1593093,0.0006988673,0.000128295,0.00005125605,0.0002193554,0.0001536098,0.04846457],"genre_scores_gemma":[0.964363,0.0005132843,0.01939965,0.0001205883,0.0002738177,0.00006328397,0.000216626,0.00006320683,0.01498654],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003590159,"threshold_uncertainty_score":0.01201028,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03339386928584753,"score_gpt":0.2871772815837413,"score_spread":0.2537834122978938,"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."}}