{"id":"W7091186678","doi":"","title":"From points to complexes: a concept of unexpectedness for simplicial complexes","year":2025,"lang":"en","type":"article","venue":"ArXiv.org","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"","keywords":"Monomial; Square-free integer; Algebra over a field; Interpolation (computer graphics); Simplicial approximation theorem; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00008275123,0.0001560015,0.0003892357,0.00008955006,0.0001466805,0.00001577445,0.0003596154,0.0000553775,0.0001511636],"category_scores_gemma":[0.0004020808,0.000150552,0.0001102649,0.0003622791,0.0001113698,0.00005171756,0.000150267,0.00007924007,0.00003132562],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003846754,"about_ca_system_score_gemma":0.00005709102,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000184331,"about_ca_topic_score_gemma":0.0001564668,"domain_scores_codex":[0.998961,0.00004746935,0.0004158868,0.0002652414,0.0001069885,0.0002034656],"domain_scores_gemma":[0.997671,0.001414218,0.0001296689,0.0004871161,0.0002360226,0.0000619613],"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":[0.0001702918,0.0006649575,0.02826894,0.000141817,0.0003571146,7.895471e-7,0.01084378,0.000005976293,0.1078455,0.7877154,0.06139065,0.002594766],"study_design_scores_gemma":[0.001551867,0.0001391368,0.1003553,0.0001570283,0.0001498378,4.351001e-7,0.003366271,0.0001555119,0.1207118,0.7582774,0.01481111,0.0003243842],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9315436,0.00004013087,0.06409764,0.001784776,0.00009434152,0.0008053926,0.0003853357,0.00007869441,0.001170028],"genre_scores_gemma":[0.9901237,6.462798e-7,0.00865716,0.000583824,0.00009830301,0.0001911405,0.00006992366,0.00002082193,0.0002545012],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07208636,"threshold_uncertainty_score":0.6139333,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08914573999605295,"score_gpt":0.3817750944598077,"score_spread":0.2926293544637548,"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."}}