{"id":"W3016438780","doi":"10.1007/s10468-021-10091-5","title":"Combinatorics of type D Exceptional Sequences","year":2021,"lang":"en","type":"preprint","venue":"Algebras and Representation Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Quiver; Coxeter group; Mathematics; Type (biology); Cluster algebra; Combinatorics; Representation theory; Coxeter element; Cluster (spacecraft); Enumerative combinatorics; Coxeter complex; Algebraic combinatorics; Pure mathematics; Artin group; Computer science; Ising model; Physics; Biology","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001124433,0.000855244,0.0009249622,0.003884056,0.002160378,0.005941058,0.001443748,0.001350566,0.008370798],"category_scores_gemma":[0.002935608,0.0005033557,0.0008142685,0.00266098,0.003449366,0.004904177,0.003110679,0.001919835,0.000941294],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0019949,"about_ca_system_score_gemma":0.0007605169,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001122987,"about_ca_topic_score_gemma":0.0008634495,"domain_scores_codex":[0.9992174,0.0001969093,0.00006454853,0.0001386791,0.0002122144,0.0001701321],"domain_scores_gemma":[0.9981336,0.0007413838,0.000338512,0.0002053415,0.0002127155,0.0003684603],"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":[0.00004135006,0.00002824426,0.000581447,0.00002673078,0.000005583398,0.0001505979,0.0001590122,0.0005443937,0.0004744868,0.9934249,0.0008007985,0.00376247],"study_design_scores_gemma":[0.00001207397,0.000006357979,0.0002461264,0.00001533674,0.000006873467,0.0001787883,0.000120671,0.00246462,0.0004326189,0.9946228,0.00188431,0.00000941921],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7341692,0.001203857,0.08341073,0.002703999,0.0004390185,0.00005521605,0.0006330131,0.0003773774,0.1770075],"genre_scores_gemma":[0.9695059,0.0006334899,0.009430379,0.0003105858,0.0003026114,0.00005410231,0.000505844,0.00008430219,0.01917281],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008370798,"threshold_uncertainty_score":0.0280031,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05126601446530909,"score_gpt":0.3352051705114633,"score_spread":0.2839391560461542,"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."}}