{"id":"W2041388961","doi":"10.1016/j.laa.2013.05.016","title":"Solving sparse linear systems of equations over finite fields using bit-flipping algorithm","year":2013,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Error Correcting Code Techniques","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Algorithm; Coefficient matrix; Finite field; Decoding methods; System of linear equations; Bounded function; Linear system; Matrix (chemical analysis); Discrete mathematics; Linear equation; Parity-check matrix; Sparse matrix; Combinatorics; Low-density parity-check code; Mathematical analysis","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":[0.0001946091,0.0001423411,0.0001929222,0.0001673212,0.0002348767,0.0001035254,0.0004227632,0.0001096458,0.00001697367],"category_scores_gemma":[0.0000975207,0.0001424055,0.00005176049,0.0005412718,0.00003558396,0.0004731012,0.0002385345,0.0001774366,0.00003383783],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002176592,"about_ca_system_score_gemma":0.00005482756,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003592184,"about_ca_topic_score_gemma":0.000006355032,"domain_scores_codex":[0.9988346,0.00004072833,0.0003843912,0.0003366891,0.0001825774,0.0002210142],"domain_scores_gemma":[0.998579,0.0003524388,0.0002022086,0.0005241906,0.0002522859,0.00008982846],"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":[0.000004797083,0.0008171395,0.002282121,0.0007814064,0.0002917601,0.000005979185,0.007420341,0.02546703,0.08957273,0.6307786,0.001560311,0.2410178],"study_design_scores_gemma":[0.00007954207,0.00002537584,0.0001281415,0.0000639669,0.00001331022,0.000006098189,0.00004031138,0.9943808,0.002770244,0.001453214,0.0008789307,0.000160016],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0227637,0.0004303602,0.9753226,0.0001690328,0.0001143092,0.0006417592,0.000007888442,0.0002831939,0.0002671602],"genre_scores_gemma":[0.7447618,0.00005425903,0.254479,0.0001194785,0.0001847384,0.0002040253,0.000007365993,0.00001822494,0.0001711708],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9689138,"threshold_uncertainty_score":0.5807127,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03267507473192976,"score_gpt":0.2803232690555417,"score_spread":0.2476481943236119,"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."}}