{"id":"W2748666773","doi":"10.46298/dmtcs.2518","title":"Sign variation, the Grassmannian, and total positivity","year":2015,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Graph theory and applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Linear subspace; Grassmannian; Sign (mathematics); Algebraic number; Pure mathematics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004731897,0.0004838767,0.0004964638,0.0009165137,0.0008397067,0.001163072,0.0006009738,0.0003300844,0.003556738],"category_scores_gemma":[0.001829459,0.0002466612,0.0005877113,0.0009315663,0.003047938,0.001970954,0.001807235,0.0008162534,0.0006402999],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006156397,"about_ca_system_score_gemma":0.0004955473,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001221614,"about_ca_topic_score_gemma":0.001315698,"domain_scores_codex":[0.9995308,0.00007322227,0.00002491851,0.000143424,0.0001261857,0.0001014961],"domain_scores_gemma":[0.9994699,0.0001143207,0.00008462997,0.0001062482,0.0001123058,0.0001125781],"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":[0.0001832652,0.00002332014,0.002440841,0.0001077342,0.00001380295,0.0003964488,0.0006160194,0.01156534,0.01545338,0.8799369,0.004637649,0.08462535],"study_design_scores_gemma":[0.00001403683,0.00006680066,0.001618424,0.00002532953,0.00001099353,0.000348879,0.0002544208,0.03613358,0.006801579,0.9447162,0.009941483,0.00006838029],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5013856,0.0008702851,0.4423104,0.0006211466,0.0002567558,0.0001163781,0.0006020021,0.0005805265,0.05325679],"genre_scores_gemma":[0.9044904,0.0004467125,0.08455379,0.0001484492,0.00007716288,0.00007568955,0.0003786051,0.000244382,0.009584924],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003556738,"threshold_uncertainty_score":0.01189846,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02706167935752997,"score_gpt":0.2897478439419702,"score_spread":0.2626861645844403,"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."}}