{"id":"W4387995697","doi":"10.48550/arxiv.2310.17547","title":"Hopf algebras from poset growth models","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Hopf algebra; Partially ordered set; Mathematics; Tree (set theory); Analogy; Field (mathematics); Quantum field theory; Pure mathematics; Set (abstract data type); Simple (philosophy); Algebra over a field; Discrete mathematics; Combinatorics; Mathematical physics; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000210097,0.0005604061,0.0006797748,0.0003015326,0.000181848,0.00006480717,0.001437306,0.0006609275,0.0001800598],"category_scores_gemma":[0.0002981197,0.0006828494,0.0003695804,0.000443128,0.0001691342,0.0002985176,0.002445372,0.001177031,0.00049408],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003645163,"about_ca_system_score_gemma":0.0001507368,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003864423,"about_ca_topic_score_gemma":0.0001543877,"domain_scores_codex":[0.9973386,0.0001457738,0.0003745016,0.001422128,0.0001851982,0.0005338166],"domain_scores_gemma":[0.9966361,0.0007571962,0.0004133738,0.001754524,0.0002153604,0.0002234563],"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":[0.00003344475,0.0000909756,0.000443316,0.0001380777,0.0002751813,0.0005181658,0.0002922138,0.01480356,0.00001187684,0.9808804,0.002473316,0.00003947993],"study_design_scores_gemma":[0.0004708943,0.00002464435,0.000108317,0.0001748633,0.0002405813,0.000001472329,0.0001534554,0.03393502,0.0001464629,0.9640107,0.0000839567,0.0006496068],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7063698,0.0000516838,0.2848887,0.0001338236,0.001129066,0.0005159058,0.0004355723,0.001090334,0.005385143],"genre_scores_gemma":[0.9795647,0.0003479468,0.01098352,0.00009661418,0.0003215216,0.00000193799,0.0001893675,0.0001651728,0.008329208],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2739052,"threshold_uncertainty_score":0.9995623,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2179576952195189,"score_gpt":0.2415284041712044,"score_spread":0.02357070895168545,"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."}}