{"id":"W1540559428","doi":"10.1007/s00208-015-1233-9","title":"Power series with positive coefficients arising from the characteristic polynomials of positive matrices","year":2015,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"Science Foundation Ireland","keywords":"Mathematics; Formal power series; Power series; Integer (computer science); Combinatorics; Series (stratigraphy); Matrix (chemical analysis); Positive-definite matrix; Pure mathematics; Mathematical analysis; Eigenvalues and eigenvectors","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":[0.0005950004,0.0001952543,0.0003123342,0.00005586851,0.0001338877,0.0001907077,0.0008186072,0.00005268344,0.00003696167],"category_scores_gemma":[0.00009236854,0.0001185478,0.0000601381,0.0003076547,0.0001430024,0.0006134872,0.000255072,0.0001257337,0.00007840765],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001767847,"about_ca_system_score_gemma":0.00008251389,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005227855,"about_ca_topic_score_gemma":0.000002118131,"domain_scores_codex":[0.9985872,0.0001903695,0.0002973322,0.000295614,0.0003867529,0.0002427563],"domain_scores_gemma":[0.9984663,0.0003718658,0.0003279505,0.0005161174,0.0002181711,0.00009963843],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.002245558,0.002950929,0.006628084,0.0003775654,0.002652638,0.0007868621,0.3327375,0.0003766577,0.0249764,0.5638163,0.0173554,0.04509614],"study_design_scores_gemma":[0.009770445,0.007493792,0.1397274,0.00664746,0.0009475909,0.001866404,0.02137643,0.01935661,0.5448502,0.2311531,0.01090571,0.005904843],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6430738,0.0007158902,0.3460722,0.002077898,0.0002642386,0.0005299434,0.000284009,0.0001277575,0.006854274],"genre_scores_gemma":[0.9778273,0.000006957117,0.02135769,0.0002523183,0.00008013757,0.00001142917,0.00001415953,0.00001713372,0.0004328908],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5198739,"threshold_uncertainty_score":0.483424,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01601556758224871,"score_gpt":0.240216718897086,"score_spread":0.2242011513148373,"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."}}