{"id":"W2950555606","doi":"10.46298/dmtcs.2909","title":"Critical Groups of Simplicial Complexes","year":2011,"lang":"fr","type":"preprint","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Simplicial complex; Abstract simplicial complex; h-vector; Mathematics; Simplicial approximation theorem; Sketch; Simplicial manifold; Simplicial homology; Abelian group; Interpretation (philosophy); Combinatorics; Simplicial set; Graph; Pure mathematics; Computer science; Algorithm","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":[0.0004703321,0.0005988208,0.0003192267,0.002703068,0.001336723,0.002246984,0.0006077879,0.0005697303,0.004474421],"category_scores_gemma":[0.001832607,0.0001901009,0.0005477612,0.000750927,0.003397726,0.003721265,0.002358391,0.001048112,0.0005175967],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001416938,"about_ca_system_score_gemma":0.0006318089,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00103053,"about_ca_topic_score_gemma":0.0009652748,"domain_scores_codex":[0.9994765,0.00009247507,0.00002513784,0.0001261962,0.0001740676,0.0001055973],"domain_scores_gemma":[0.9990813,0.0002418137,0.0001475234,0.0001384853,0.0001932089,0.0001977277],"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":[0.000004364854,0.000004980918,0.000283016,0.00001438597,0.000003019674,0.00005275727,0.0004015016,0.0006244219,0.001219541,0.9937452,0.0002751821,0.003371624],"study_design_scores_gemma":[0.000005869595,0.00001721492,0.000298804,0.00001544266,0.000005717332,0.0001398441,0.0003974215,0.004288928,0.00165393,0.9751614,0.01800378,0.00001161494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5052347,0.001548325,0.3752744,0.001839069,0.0003569383,0.0001553595,0.0002093794,0.0003707206,0.1150112],"genre_scores_gemma":[0.9349053,0.0007822707,0.04057103,0.0002878436,0.0002899237,0.0001204019,0.000204203,0.0001173491,0.02272176],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004474421,"threshold_uncertainty_score":0.01496845,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04055166733370223,"score_gpt":0.300638903574668,"score_spread":0.2600872362409657,"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."}}