{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005132562,0.0002411843,0.001265188,0.0003091047,0.00004609746,0.00004420801,0.001661188,0.0002849139,0.0004619755],"category_scores_gemma":[0.0004914364,0.0001845682,0.0005108582,0.0005417818,0.000263679,0.00008114673,0.003883956,0.0003058591,0.00001087182],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001674031,"about_ca_system_score_gemma":0.0001151615,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009844467,"about_ca_topic_score_gemma":0.0000142855,"domain_scores_codex":[0.997591,0.0001091361,0.0009423784,0.0004778212,0.0005865046,0.0002931868],"domain_scores_gemma":[0.9966921,0.001021077,0.0006833476,0.001242205,0.0002687755,0.0000925336],"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":[0.00004366529,0.003516179,0.0007669782,0.001882947,0.001365042,0.00009097586,0.001158913,0.006505544,0.002308406,0.9629235,0.01027933,0.009158534],"study_design_scores_gemma":[0.00170804,0.000353337,0.0005726911,0.0004605709,0.0003198972,0.00007123593,0.0006071996,0.1490112,0.01906519,0.8259978,0.001090086,0.0007427316],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06478808,0.0009653199,0.9298242,0.002476705,0.0004013724,0.0002150215,0.0001230051,0.00005602622,0.001150286],"genre_scores_gemma":[0.7401165,0.00003360135,0.2594002,0.0001082416,0.00003731415,0.00001195052,0.00009601458,0.000008491112,0.0001876726],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6753284,"threshold_uncertainty_score":0.7526471,"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."}}