{"id":"W2599487098","doi":"10.46298/dmtcs.2336","title":"Gale-Robinson Sequences and Brane Tilings","year":2013,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Foundation","keywords":"Mathematics; Cluster (spacecraft); Cluster algebra; Combinatorics; Brane; Principal (computer security); Mathematical physics; Statistical physics; Physics; Computer science","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":["sts"],"consensus_categories":[],"category_scores_codex":[0.0007434004,0.0002977887,0.0004083778,0.0001072873,0.0003838735,0.0005658773,0.0008747927,0.00009523629,0.0003677066],"category_scores_gemma":[0.0002999658,0.0002095212,0.00008463187,0.0003886381,0.002839274,0.000433555,0.0005452738,0.0002235873,0.00003833937],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003070454,"about_ca_system_score_gemma":0.00006868861,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009222316,"about_ca_topic_score_gemma":4.461511e-7,"domain_scores_codex":[0.997596,0.00005061878,0.0004561485,0.0005646844,0.000752239,0.0005803009],"domain_scores_gemma":[0.9981183,0.0006152319,0.0001454401,0.0006067607,0.0001985224,0.0003156938],"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":[0.000002309677,0.0000329922,0.0000130378,0.00007866016,0.000008767718,0.000002166266,0.001119794,0.000002166093,0.0007300193,0.996841,0.0001100695,0.001058985],"study_design_scores_gemma":[0.0001886586,0.0001048386,0.00004604352,0.00009475674,0.00002137027,0.00004421745,0.0001279632,0.08402664,0.001188427,0.9138712,0.00001705137,0.0002688412],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8053413,0.00005019855,0.1853271,0.0006478126,0.0003907804,0.0005425497,0.000002105298,0.0001755907,0.007522502],"genre_scores_gemma":[0.8715031,0.000009026686,0.1281256,0.000161736,0.0001163769,0.00002146389,5.828177e-7,0.00002300876,0.00003906039],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08402447,"threshold_uncertainty_score":0.9998744,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0151980923668201,"score_gpt":0.2694502442087206,"score_spread":0.2542521518419005,"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."}}