{"id":"W4387655030","doi":"10.1112/jlms.12817","title":"ABHY Associahedra and Newton polytopes of F$F$‐polynomials for cluster algebras of simply laced finite type","year":2023,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Institut des Sciences Mathématiques, Université du Québec à Montréal; Canada Research Chairs","keywords":"Polytope; Cluster algebra; Mathematics; Type (biology); Connection (principal bundle); h-vector; Combinatorics; Pure mathematics; Simplicial complex; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003820372,0.0002348517,0.0002802665,0.001295842,0.001536417,0.001820104,0.0004775294,0.0003745897,0.003857668],"category_scores_gemma":[0.0007859853,0.000242791,0.0005275792,0.0004691071,0.002709375,0.001447244,0.0009626435,0.0009778478,0.0003101566],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001149836,"about_ca_system_score_gemma":0.0006029949,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001817742,"about_ca_topic_score_gemma":0.002415976,"domain_scores_codex":[0.9996947,0.00004743201,0.00001198297,0.0000480612,0.0001064815,0.00009126234],"domain_scores_gemma":[0.9995346,0.00008746075,0.00008970935,0.00004022102,0.00008754219,0.0001603844],"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":[0.0000205224,0.00001180353,0.0004126807,0.0000134491,0.000004200901,0.0001184874,0.0001704104,0.001389021,0.001776606,0.9941961,0.000212392,0.001674299],"study_design_scores_gemma":[0.00002069933,0.00006923711,0.002968886,0.00001762253,0.00001329361,0.0004640823,0.000385463,0.02397778,0.003779243,0.9616069,0.006650598,0.00004629049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9078279,0.0001752382,0.05784997,0.0002473468,0.00009904915,0.00003933585,0.0001258806,0.0001095105,0.03352579],"genre_scores_gemma":[0.9859266,0.00008505704,0.006234317,0.00003103758,0.00004899236,0.00003050302,0.00005046773,0.00001837748,0.007574588],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003857668,"threshold_uncertainty_score":0.01290518,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0377842574434886,"score_gpt":0.313998631263518,"score_spread":0.2762143738200294,"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."}}