{"id":"W2952468968","doi":"10.48550/arxiv.1112.5717","title":"Rank-profile revealing Gaussian elimination and the CUP matrix decomposition","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Gaussian elimination; Matrix (chemical analysis); Rank (graph theory); Algorithm; Matrix decomposition; Block matrix; Gaussian; Mathematics; Computation; Inverse; Transformation (genetics); Transformation matrix; Block (permutation group theory); Matrix multiplication; Combinatorics; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001413231,0.0009772182,0.0008513997,0.001672847,0.001015303,0.001716804,0.0008592478,0.0005472695,0.004123181],"category_scores_gemma":[0.006819413,0.0003444201,0.000910636,0.002299963,0.00210457,0.002908041,0.002144065,0.001700739,0.002036482],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007955912,"about_ca_system_score_gemma":0.001549554,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001750918,"about_ca_topic_score_gemma":0.001628939,"domain_scores_codex":[0.9988008,0.0002989134,0.00004684535,0.0001689223,0.0004768189,0.000207796],"domain_scores_gemma":[0.9980075,0.0006621135,0.0001503192,0.0005988778,0.0004778385,0.0001034868],"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":[0.0002281636,0.00009791162,0.0008083659,0.0001394022,0.00002923052,0.0001627407,0.0002720917,0.03832048,0.005142409,0.7218836,0.01258308,0.2203325],"study_design_scores_gemma":[0.00003220651,0.00008906014,0.0004253719,0.00004198306,0.00002453102,0.0003271776,0.0001195388,0.396963,0.01719447,0.5721176,0.0126133,0.00005170179],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01370776,0.0002159905,0.980633,0.0001994783,0.00004932267,0.00006541573,0.0001353768,0.0006967591,0.004296948],"genre_scores_gemma":[0.3115142,0.0007108802,0.6768525,0.0004231082,0.0002159109,0.0002470523,0.000878521,0.0004787444,0.00867922],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004123181,"threshold_uncertainty_score":0.01379341,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03717078215085931,"score_gpt":0.2044596417470974,"score_spread":0.1672888595962381,"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."}}