{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007755653,0.0002337986,0.0002640577,0.0001722837,0.0003220539,0.0001621687,0.001125888,0.0001916446,0.00004039734],"category_scores_gemma":[0.0000232275,0.0001989713,0.0001453809,0.0002878206,0.0001806154,0.0003867214,0.001188322,0.0004242212,0.00004928915],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006108863,"about_ca_system_score_gemma":0.00005497547,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009755635,"about_ca_topic_score_gemma":0.000004570572,"domain_scores_codex":[0.9984117,0.0003806784,0.000189721,0.0007074822,0.00007707872,0.0002333558],"domain_scores_gemma":[0.9985738,0.0001667241,0.0002689855,0.0008053454,0.00009054178,0.00009455218],"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":[0.00008624086,0.00002600562,0.00005008629,0.00006746803,0.00003808711,0.00005231588,0.0005784779,0.002304777,0.00001803158,0.9950038,0.00006142109,0.001713256],"study_design_scores_gemma":[0.001250502,0.00003365598,0.0006431293,0.0001307716,0.0001100597,0.00002040795,0.00009456133,0.5081989,0.0004890808,0.4885347,0.0001104072,0.0003838545],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09854574,0.0002143123,0.8924274,0.0004017605,0.0006224689,0.0004945322,0.000008539943,0.0002078968,0.007077313],"genre_scores_gemma":[0.9924753,0.0002683522,0.005635609,0.00006770707,0.00009625276,0.000002030129,0.00001270181,0.00001118957,0.001430915],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8939295,"threshold_uncertainty_score":0.8113815,"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."}}