{"id":"W4400348129","doi":"10.1016/j.dam.2024.06.006","title":"Improving the Caro–Wei bound and applications to Turán stability","year":2024,"lang":"en","type":"article","venue":"Discrete Applied Mathematics","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; Canadian Institutes of Health Research; Government of Ontario; National Science Foundation","keywords":"Mathematics; Stability (learning theory); Combinatorics; Upper and lower bounds; Computer science; 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":[],"consensus_categories":[],"category_scores_codex":[0.000634141,0.0001505481,0.000146898,0.00004356674,0.0002406959,0.0005937216,0.0006179695,0.00004156257,0.0000141673],"category_scores_gemma":[0.00002169439,0.00009817087,0.00004471046,0.0003615249,0.0000851422,0.0001331766,0.0004151449,0.0001547227,0.00008941886],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002582898,"about_ca_system_score_gemma":0.00004115898,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005106697,"about_ca_topic_score_gemma":0.000002826473,"domain_scores_codex":[0.9989414,0.00001539613,0.0002317829,0.0003819152,0.0002014952,0.0002280558],"domain_scores_gemma":[0.9987105,0.0003336427,0.00004117656,0.0007915085,0.00002266393,0.0001005662],"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":[8.052632e-7,0.00001500601,6.680721e-7,0.0002276903,0.00001154866,9.880631e-7,0.002929727,0.000006886509,0.003409765,0.9578424,0.00007420062,0.03548028],"study_design_scores_gemma":[0.0001318129,0.00003601142,0.0000237995,0.00005186226,0.0000551494,0.00002987316,0.001649479,0.1126937,0.01161535,0.8557446,0.01750427,0.0004640682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.006478755,0.0002419807,0.9843324,0.0006537474,0.0000864523,0.0007853716,0.00001371234,0.0002687866,0.007138756],"genre_scores_gemma":[0.792523,0.00001514762,0.205759,0.0003740686,0.000263166,0.0007374671,0.000004915817,0.00003476008,0.0002884495],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7860443,"threshold_uncertainty_score":0.5725271,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01467740837605818,"score_gpt":0.2522515057060434,"score_spread":0.2375740973299852,"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."}}