{"id":"W2929067711","doi":"10.1090/jams/983","title":"Regularity theorem for totally nonnegative flag varieties","year":2021,"lang":"en","type":"preprint","venue":"Journal of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Mathematics; Flag (linear algebra); Conjecture; Variety (cybernetics); Closure (psychology); Grassmannian; Pure mathematics; Ball (mathematics); Combinatorics; Algebra over a field; Mathematical analysis","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001819598,0.0004738159,0.001734829,0.0000396931,0.0002529941,0.0001699537,0.001199419,0.0002518129,0.00009025511],"category_scores_gemma":[0.00466223,0.0002898452,0.003222689,0.0003752446,0.001008194,0.0001276624,0.001147375,0.001665584,0.000002240002],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002651074,"about_ca_system_score_gemma":0.0004266298,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001553844,"about_ca_topic_score_gemma":0.000001319997,"domain_scores_codex":[0.9968165,0.000230738,0.001262933,0.0003525261,0.0008855832,0.000451675],"domain_scores_gemma":[0.9912484,0.003275245,0.003426708,0.0009661447,0.0009046198,0.0001788517],"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":[0.0002774843,0.001700675,0.00008361146,0.00449592,0.004533653,0.00002168367,0.0168527,0.0005537465,0.001132687,0.9438957,0.02292109,0.003531037],"study_design_scores_gemma":[0.0003690404,0.0001476927,0.0001466441,0.0006405956,0.0005871425,0.00009494425,0.006646159,0.001113254,0.001280112,0.9885263,0.0001113967,0.000336709],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.3553418,0.0002368319,0.6392395,0.00320378,0.000525105,0.0006403379,0.00004371756,0.00003994946,0.0007289493],"genre_scores_gemma":[0.3734793,0.0001220075,0.6237258,0.0009259891,0.0008609976,0.00004528372,0.000003737169,0.0001150016,0.0007218529],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0446306,"threshold_uncertainty_score":0.9999554,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02923631913522787,"score_gpt":0.3248288612730986,"score_spread":0.2955925421378707,"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."}}