{"id":"W2099432728","doi":"10.1142/s0218195907002380","title":"ON THE EXPECTED SIZE OF THE 2D VISIBILITY COMPLEX","year":2007,"lang":"en","type":"article","venue":"International Journal of Computational Geometry & Applications","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Visibility; Disjoint sets; Mathematics; Bounded function; Unit (ring theory); Plane (geometry); Combinatorics; Geometry; Mathematical analysis; Optics; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001551887,0.0001731936,0.0002123324,0.0003965755,0.000254847,0.0001302322,0.002448687,0.00006185153,0.000123441],"category_scores_gemma":[0.0005223118,0.0001149727,0.0003013496,0.001646891,0.0001720341,0.0003071931,0.0002570376,0.0003201069,0.00002290082],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001624391,"about_ca_system_score_gemma":0.0002950034,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004783782,"about_ca_topic_score_gemma":0.000003192397,"domain_scores_codex":[0.9965997,0.0001405924,0.001054263,0.0002609416,0.001755348,0.0001892072],"domain_scores_gemma":[0.9917196,0.004079169,0.001063627,0.0004375209,0.002601751,0.00009830684],"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":[0.000102339,0.0007695865,0.001113335,0.00001144496,0.0003070355,0.00000523748,0.0002965762,0.1541295,0.002357487,0.7880882,0.003038436,0.04978086],"study_design_scores_gemma":[0.001623024,0.0002601038,0.331804,0.00008426512,0.0000522958,0.000360367,0.0001954219,0.02375042,0.006960745,0.5892946,0.04519293,0.0004218371],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08209621,0.00009310843,0.9102494,0.005265895,0.0006122736,0.0003967474,0.00002459383,0.00002531084,0.001236524],"genre_scores_gemma":[0.9636471,0.000006172429,0.03434849,0.001403786,0.0004624281,0.00002146072,0.00001297634,0.000009100074,0.00008849592],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8815508,"threshold_uncertainty_score":0.4688449,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01955022476834169,"score_gpt":0.3028139018826694,"score_spread":0.2832636771143277,"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."}}