{"id":"W2087662942","doi":"10.4153/cmb-2007-062-0","title":"Transformations and Colorings of Groups","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Haar measure; Combinatorics; Group (periodic table); Topological group; Locally compact group; Transformation group; Transformation (genetics); Locally compact space; Compact group; Pure mathematics; Lie group; Topology (electrical circuits); Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006641623,0.000100468,0.0002197149,0.0001212828,0.00009560805,0.000005420047,0.00009543695,0.0001130267,0.003228839],"category_scores_gemma":[0.0004980708,0.00009278148,0.00004184749,0.00008248914,0.0002554134,0.00002784134,0.00001064193,0.000135487,0.0003016163],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003958187,"about_ca_system_score_gemma":0.00003886758,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004960341,"about_ca_topic_score_gemma":0.0009603178,"domain_scores_codex":[0.9991547,0.00002299409,0.0003309911,0.0001053785,0.00008426704,0.0003016219],"domain_scores_gemma":[0.9986254,0.0008250044,0.00005377439,0.0001541268,0.00003707809,0.0003045889],"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":[0.000009340779,0.00002154763,0.00002389632,0.000115733,0.0000119331,0.00001156265,0.0006534819,1.687529e-7,0.00005597685,0.9979046,0.0006746425,0.0005171273],"study_design_scores_gemma":[0.0002191748,0.000034585,0.0001393643,0.00004090482,0.00002285628,0.00005065991,0.0006409805,0.00000978254,0.0006718687,0.9836536,0.01440844,0.0001077739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7257465,0.00009035338,0.06610624,0.002888765,0.00004067176,0.0003583703,0.00002383614,0.00005661315,0.2046887],"genre_scores_gemma":[0.9868313,0.000006183476,0.0120036,0.0002445687,0.00001555734,0.000007079822,0.00000193411,0.00001466507,0.0008751201],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2610849,"threshold_uncertainty_score":0.9976823,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01860804019409768,"score_gpt":0.2735558656648076,"score_spread":0.2549478254707099,"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."}}