{"id":"W4415202877","doi":"10.1093/comnet/cnaf021","title":"Counting simplicial pairs in hypergraphs","year":2025,"lang":"en","type":"article","venue":"Journal of Complex Networks","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa; University of Toronto","funders":"","keywords":"Simplicial manifold; Simplicial homology; h-vector; Simplicial complex; Simplicial approximation theorem; Abstract simplicial complex","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003851262,0.0006184051,0.001452193,0.005850321,0.001571988,0.003710525,0.002149785,0.001542633,0.005536622],"category_scores_gemma":[0.03429133,0.0006927282,0.001175268,0.002715816,0.002903511,0.006133088,0.003059024,0.001415242,0.000406905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00220785,"about_ca_system_score_gemma":0.0007286428,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003080418,"about_ca_topic_score_gemma":0.003271667,"domain_scores_codex":[0.9955208,0.001917297,0.000266343,0.0009197294,0.000986724,0.0003891528],"domain_scores_gemma":[0.9683018,0.02278244,0.002963742,0.003057092,0.001738019,0.001156775],"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":[0.0003089363,0.0001374126,0.02902657,0.0002756731,0.0002264008,0.0004083691,0.001140889,0.3836168,0.008327398,0.5412849,0.001658124,0.03358837],"study_design_scores_gemma":[0.00001181205,0.00003075126,0.002512752,0.00003069951,0.00001833601,0.0001701213,0.0002202633,0.7427898,0.002413471,0.2508459,0.0009149369,0.00004123914],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.568302,0.0003701043,0.425945,0.000399533,0.00004348197,0.0001320196,0.0004488879,0.0003370227,0.004022096],"genre_scores_gemma":[0.9321902,0.0001102239,0.06570084,0.00005532068,0.00002763549,0.0001184381,0.0004139044,0.0000988945,0.001284616],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005850321,"threshold_uncertainty_score":0.02036768,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01592775660514054,"score_gpt":0.2640757744524916,"score_spread":0.2481480178473511,"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."}}