{"id":"W2066880569","doi":"10.1145/2576802.2576811","title":"Newton-like iteration for determinantal systems and structured low rank approximation","year":2014,"lang":"en","type":"article","venue":"ACM communications in computer algebra","topic":"Statistical and numerical algorithms","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Rank (graph theory); Mathematics; Applied mathematics; Determinantal point process; Newton's method; Mathematical economics; Combinatorics; Physics; Nonlinear system; Eigenvalues and eigenvectors; Random matrix","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":[0.0003186696,0.0001490336,0.0002666202,0.00009494753,0.0001824071,0.0001319876,0.0006476393,0.00008604536,0.000003611093],"category_scores_gemma":[0.0003754822,0.0001342997,0.00003960143,0.0001596575,0.0001075651,0.000174319,0.0003845468,0.0001450289,0.000004836078],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003481301,"about_ca_system_score_gemma":0.0000114597,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000251802,"about_ca_topic_score_gemma":0.00002520673,"domain_scores_codex":[0.9988847,0.0001621912,0.0004266405,0.0002251556,0.0001220609,0.0001792997],"domain_scores_gemma":[0.996079,0.00242649,0.0001280893,0.001222271,0.00009352938,0.00005063492],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00004414836,0.0003250027,0.0006546024,0.0005100738,0.00004407109,8.243423e-7,0.00114853,0.00006580386,0.0002798515,0.6416271,0.002482287,0.3528177],"study_design_scores_gemma":[0.0006605601,0.00006959464,0.001690487,0.00007214331,0.00001726037,0.00001406097,0.00001437976,0.719034,0.00003113855,0.2766432,0.001598582,0.0001546301],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.04397791,0.0001159677,0.9540698,0.0007223434,0.0002730289,0.0006819961,0.00002062867,0.00008300547,0.00005532298],"genre_scores_gemma":[0.4649012,0.00001806005,0.5345681,0.0001399744,0.0001063914,0.0001470676,0.00008068379,0.0000168407,0.00002164965],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.7189682,"threshold_uncertainty_score":0.5476584,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04577739578534687,"score_gpt":0.3257585690847457,"score_spread":0.2799811732993989,"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."}}