{"id":"W3207065630","doi":"10.1007/s00153-021-00793-4","title":"Definable groups in dense pairs of geometric structures","year":2021,"lang":"en","type":"article","venue":"Archive for Mathematical Logic","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Ministry of Education and Science of the Republic of Kazakhstan; Departamento Administrativo de Ciencia, Tecnología e Innovación (COLCIENCIAS)","keywords":"Mathematics; Combinatorics; Predicate (mathematical logic); Dimension (graph theory); Group (periodic table); NIP; Discrete mathematics; 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":[0.0004077229,0.0001560903,0.0004891541,0.0001786473,0.00005927285,0.000005898592,0.0001724475,0.00009896124,0.0003596723],"category_scores_gemma":[0.004899822,0.0001251713,0.0001607393,0.0003232575,0.0002169479,0.00004854737,0.0001062286,0.0001759551,0.00001614857],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002070127,"about_ca_system_score_gemma":0.0000384662,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.420128e-7,"about_ca_topic_score_gemma":0.00001164051,"domain_scores_codex":[0.9986877,0.0001293457,0.0004571711,0.0002480359,0.0001332551,0.0003444646],"domain_scores_gemma":[0.9943396,0.005088899,0.0001234421,0.0003258503,0.0000623046,0.00005983512],"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":[0.00005999139,0.0002601222,0.0001138057,0.0005290938,0.00002838096,0.00003752537,0.0003721401,0.00002617751,0.0005856488,0.9973656,0.0001866699,0.0004348336],"study_design_scores_gemma":[0.0005520129,0.0001148318,0.0003857686,0.00004782567,0.0000346177,0.00005880186,0.0004640902,0.0002195635,0.004107565,0.9938044,0.0000766373,0.0001338947],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3719118,0.0003238083,0.6132071,0.0002006373,0.00008052969,0.0005327783,0.00006662712,0.00006044093,0.01361629],"genre_scores_gemma":[0.7077717,0.00001554778,0.2916293,0.00009689662,0.00002212704,0.00005555267,0.00001686801,0.00002148796,0.0003706077],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.3358599,"threshold_uncertainty_score":0.5865898,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04857405823965345,"score_gpt":0.3193030494266547,"score_spread":0.2707289911870012,"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."}}