{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000991035,0.0002178356,0.000356805,0.0001279403,0.0001263738,0.0000948058,0.0008175614,0.0001051773,0.00004497383],"category_scores_gemma":[0.0003000133,0.0001457474,0.0002212795,0.0004298099,0.00006908087,0.0003897906,0.00009865493,0.001456158,0.0000232689],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005160127,"about_ca_system_score_gemma":0.0004706782,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006264102,"about_ca_topic_score_gemma":0.000003009229,"domain_scores_codex":[0.9979448,0.0001366834,0.0005744608,0.0001643414,0.0006222012,0.0005575254],"domain_scores_gemma":[0.9977993,0.001216879,0.0002795495,0.0003868592,0.0002321506,0.00008524487],"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":[0.00002159668,0.00007240683,0.000006979941,0.00002556989,0.0002376835,0.00003961311,0.0005341261,0.00002317488,0.0001054625,0.9956152,0.002957073,0.0003610564],"study_design_scores_gemma":[0.0003787791,0.0002175029,0.000005187205,0.00009143974,0.0001673182,0.0001739424,0.00009086446,0.0008765217,0.001468542,0.993773,0.002597665,0.000159205],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6426643,0.03423217,0.3106201,0.004528375,0.002960184,0.0002966608,0.00001233976,0.0001935312,0.004492281],"genre_scores_gemma":[0.9967754,0.001588037,0.0004774882,0.0001036374,0.0003983166,0.00000185497,0.000001447439,0.00006370768,0.0005900462],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3541111,"threshold_uncertainty_score":0.6326365,"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."}}