{"id":"W3087655975","doi":"10.1017/fms.2021.64","title":"Topology of random -dimensional cubical complexes","year":2021,"lang":"en","type":"preprint","venue":"Forum of Mathematics Sigma","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; European Commission; Simons Foundation; National Science Foundation","keywords":"Combinatorics; Mathematics; Corollary; Simple (philosophy); Homology (biology); Random graph; Discrete mathematics; Group (periodic table); Topology (electrical circuits); Physics; Graph","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":[0.001370964,0.0003854092,0.0008928095,0.001812767,0.001514303,0.003029816,0.001888951,0.001583588,0.005060178],"category_scores_gemma":[0.009157569,0.0004294309,0.0005788126,0.0006635098,0.004027201,0.002844136,0.002347762,0.00120917,0.0003401242],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002177443,"about_ca_system_score_gemma":0.0007239867,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005439858,"about_ca_topic_score_gemma":0.003106863,"domain_scores_codex":[0.9987714,0.0003659658,0.0000403095,0.000200357,0.0004179684,0.0002040141],"domain_scores_gemma":[0.9953895,0.001840569,0.0009002431,0.0005181507,0.0004396798,0.0009118752],"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":[0.00008829283,0.00003213597,0.001960313,0.00006205888,0.00001901233,0.0002834209,0.0002865772,0.05516634,0.001613034,0.9375128,0.0009797707,0.001996268],"study_design_scores_gemma":[0.00006033777,0.00005883357,0.001323896,0.00002870028,0.00001145785,0.000485465,0.0002502592,0.454733,0.001397359,0.5389367,0.002669895,0.00004402159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8831667,0.0004650258,0.09050433,0.001788535,0.00005386957,0.00006868727,0.0002738247,0.0002466034,0.02343229],"genre_scores_gemma":[0.9949061,0.00007654909,0.002751723,0.00006146424,0.00002070664,0.0000350347,0.00009577173,0.00002332346,0.002029336],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005439858,"threshold_uncertainty_score":0.01692796,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02601168877790935,"score_gpt":0.2705960806356113,"score_spread":0.2445843918577019,"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."}}