{"id":"W2171698682","doi":"10.1007/s00454-010-9291-y","title":"More Colourful Simplices","year":2010,"lang":"en","type":"article","venue":"Discrete & Computational Geometry","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University; McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs; Canada Research Chairs","keywords":"Combinatorics; General position; Mathematics; Vertex (graph theory); Convex hull; Regular polygon; Simplex; Position (finance); Point (geometry); Set (abstract data type); Geometry; Graph; Computer science","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":[0.0003642655,0.0002423227,0.0002106623,0.0004678267,0.0003461952,0.0003661773,0.0008939122,0.0001177878,0.0001844455],"category_scores_gemma":[0.0001383166,0.0002395066,0.0001377302,0.001523493,0.0001010644,0.0008177184,0.0002913877,0.0003714265,0.0002557851],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002838303,"about_ca_system_score_gemma":0.0001889969,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001382526,"about_ca_topic_score_gemma":0.000006160856,"domain_scores_codex":[0.9978521,0.00004868465,0.0003852239,0.0006069022,0.0007421784,0.0003648404],"domain_scores_gemma":[0.9984568,0.0004136926,0.0001671153,0.0004298585,0.0003568833,0.0001756729],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002346574,0.0002349494,0.003721879,0.00003547601,0.0001019888,0.00003439541,0.0006315884,0.244075,0.004508929,0.6556902,0.004526167,0.08641595],"study_design_scores_gemma":[0.0008364228,0.0001278813,0.1443685,0.00001310236,0.00001737462,0.0001526242,0.00007011466,0.729364,0.001161207,0.07878255,0.04437576,0.0007303724],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3529373,0.00009231288,0.6409389,0.002239411,0.001018852,0.0001761014,0.00002014137,0.0002584473,0.002318465],"genre_scores_gemma":[0.88981,0.000002303445,0.1081201,0.001246969,0.0002479839,0.00002298439,0.0001768665,0.00001480205,0.0003579879],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5769077,"threshold_uncertainty_score":0.9766796,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007892612822278692,"score_gpt":0.269471527868626,"score_spread":0.2615789150463473,"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."}}