{"id":"W4405639020","doi":"10.1112/blms.13212","title":"Associahedra as moment polytopes","year":2024,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Polytope; Mathematics; Cluster algebra; Quotient; Combinatorics; Moment map; Moment (physics); Symplectic geometry; Torus; Pure mathematics; Triangulation; Algebra over a field; Geometry; 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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005530588,0.0002200163,0.0003886545,0.00001261611,0.0001329416,0.00007863684,0.0005114378,0.0001806129,0.00268484],"category_scores_gemma":[0.0003341756,0.0001313753,0.0007841788,0.0001636569,0.0001703967,0.00001865268,0.0003140529,0.0003125029,0.0002068008],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009836262,"about_ca_system_score_gemma":0.00005475683,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001930044,"about_ca_topic_score_gemma":2.572592e-7,"domain_scores_codex":[0.9982275,0.0000775353,0.0004646666,0.0002623759,0.0006602199,0.0003077168],"domain_scores_gemma":[0.9983897,0.0008563524,0.0001243298,0.0004967761,0.00005548138,0.00007739822],"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":[0.000005099426,0.00008197075,0.000006742244,0.0004437775,0.0001564149,0.000001193044,0.0008726911,0.000001507668,0.0001146726,0.9097662,0.08818961,0.0003601267],"study_design_scores_gemma":[0.0002052253,0.00003500924,0.00001544039,0.000259137,0.0001089169,0.00001206395,0.0001708543,0.0002097163,0.001827411,0.9460866,0.05091994,0.000149654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8482805,0.002695489,0.00953913,0.06303034,0.003297272,0.002087531,0.00003710541,0.0008291881,0.07020347],"genre_scores_gemma":[0.9635643,0.00005869529,0.01131092,0.0008289361,0.0003763147,0.00005794285,0.000001086034,0.00008401938,0.02371775],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1152839,"threshold_uncertainty_score":0.9982268,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01723556086215815,"score_gpt":0.2790058847910727,"score_spread":0.2617703239289145,"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."}}