{"id":"W2253097541","doi":"10.4153/cjm-2017-054-x","title":"Geometry of Uniform Spanning Forest Components in High Dimensions","year":2017,"lang":"en","type":"preprint","venue":"Canadian Journal of Mathematics","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Spanning tree; Minimum spanning tree; Euclidean geometry; Combinatorics; Tree (set theory); Geometry; Component (thermodynamics); Mathematics; Work (physics); Euclidean distance; Minimum degree spanning tree; Physics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009986378,0.000317742,0.001243405,0.0007416629,0.0001195459,0.00008526981,0.0009812653,0.0003514235,0.00005816546],"category_scores_gemma":[0.006818679,0.0002836881,0.0002007553,0.0001262017,0.0001384056,0.0000755615,0.0001923091,0.00101855,0.000005199471],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002576063,"about_ca_system_score_gemma":0.001603095,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001961012,"about_ca_topic_score_gemma":0.0122243,"domain_scores_codex":[0.9974139,0.00003122383,0.001464996,0.0001781572,0.0004673274,0.0004443997],"domain_scores_gemma":[0.9950233,0.0009472493,0.002222335,0.0006700261,0.0005575203,0.0005796434],"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":[0.00002292651,0.0003763709,0.001608341,0.007010552,0.0004042206,0.00107692,0.002955061,0.00143462,0.00004915767,0.9821249,0.001721456,0.001215464],"study_design_scores_gemma":[0.000526857,0.0001038429,0.0007174741,0.005878659,0.0002301981,0.0001473749,0.0004400437,0.007789852,0.00005780636,0.9837418,0.00008133669,0.0002848169],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6605211,0.000505279,0.336165,0.0002247444,0.001263659,0.0003797787,0.0003371045,0.000008149895,0.0005951367],"genre_scores_gemma":[0.8440303,0.00003672877,0.1556838,0.00001573861,0.00009408598,0.000003770589,0.00000872272,0.00005147041,0.00007544766],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1835091,"threshold_uncertainty_score":0.9999616,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1006299476112035,"score_gpt":0.3155691534745669,"score_spread":0.2149392058633633,"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."}}