{"id":"W4401026269","doi":"10.37236/12715","title":"Hopf Algebras from Poset Growth Models","year":2024,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Science and Technology Facilities Council; Natural Sciences and Engineering Research Council of Canada; Innovation, Science and Economic Development Canada; Institut Périmètre de physique théorique; Canada Research Chairs; Government of Canada; Ministero dello Sviluppo Economico","keywords":"Partially ordered set; Hopf algebra; Mathematics; Combinatorics; Pure mathematics; Algebra over a field","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":[0.0008647253,0.0007944548,0.0004348464,0.002066112,0.001733353,0.002571309,0.000817941,0.0008785881,0.01042593],"category_scores_gemma":[0.001929269,0.0003044617,0.001292855,0.0009427642,0.002640406,0.005869132,0.002330647,0.001871942,0.001257889],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001344352,"about_ca_system_score_gemma":0.0007498268,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001117047,"about_ca_topic_score_gemma":0.001224229,"domain_scores_codex":[0.9992872,0.0001360241,0.00003877734,0.0001189996,0.0002944011,0.0001246381],"domain_scores_gemma":[0.9991405,0.0002697429,0.0001263318,0.0001028494,0.0001667409,0.0001937041],"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":[0.000001828229,0.000005582054,0.00005405632,0.000007507092,0.000001329242,0.00004431274,0.00007708287,0.0005625277,0.0002322262,0.9978064,0.0002185966,0.0009885449],"study_design_scores_gemma":[0.000002700004,0.000005159827,0.00005189762,0.000005121109,0.000001779512,0.0000701088,0.00004584768,0.003667612,0.0002023307,0.9939956,0.001946473,0.000005305692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2683958,0.001858537,0.4640664,0.002683559,0.0005172091,0.0002374113,0.0007618878,0.0005455778,0.2609336],"genre_scores_gemma":[0.926069,0.0009216073,0.03989884,0.0004606252,0.0005081051,0.0002270998,0.0005587914,0.0001230939,0.03123276],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01042593,"threshold_uncertainty_score":0.03487819,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02466494239606631,"score_gpt":0.2916441135444045,"score_spread":0.2669791711483382,"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."}}