{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002525087,0.0006804111,0.0008363959,0.002481842,0.002886063,0.007549528,0.001485182,0.001892428,0.004544517],"category_scores_gemma":[0.008299247,0.0007979004,0.001263444,0.001669669,0.01162505,0.02193501,0.006282163,0.004156159,0.0004934162],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001818086,"about_ca_system_score_gemma":0.0006525614,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004439914,"about_ca_topic_score_gemma":0.0003697454,"domain_scores_codex":[0.9975243,0.000701351,0.0001846166,0.0005392121,0.0007799195,0.0002704532],"domain_scores_gemma":[0.9948152,0.002058969,0.0005536047,0.001125946,0.0007393045,0.000707024],"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":[0.00001007342,0.000005084922,0.0003134334,0.00003223235,0.000006640899,0.00008074147,0.0006109211,0.0004135223,0.000395059,0.9955117,0.0002418211,0.002378896],"study_design_scores_gemma":[0.0000079096,0.00002012203,0.0001766208,0.00003244368,0.000009099528,0.0002759444,0.0005041289,0.003028598,0.0006741405,0.9839488,0.01130036,0.00002172301],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2509466,0.007056318,0.6604492,0.005873865,0.0006071772,0.000182949,0.0003998824,0.0003549573,0.07412893],"genre_scores_gemma":[0.9395407,0.001609966,0.04988915,0.0004661438,0.000311765,0.0001263557,0.0002237013,0.000143664,0.007688645],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007549528,"threshold_uncertainty_score":0.01520294,"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."}}