{"id":"W3045549505","doi":"10.1145/3373207.3404022","title":"A Las Vegas algorithm for computing the smith form of a nonsingular integer matrix","year":2020,"lang":"en","type":"article","venue":"","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Invertible matrix; Integer (computer science); Dimension (graph theory); Matrix (chemical analysis); Integer matrix; Las vegas; Mathematics; Combinatorics; Matrix multiplication; Algorithm; Discrete mathematics; Arithmetic; Computer science; Symmetric matrix; Nonnegative matrix; Pure mathematics","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":[0.0008279249,0.0009755795,0.0007824588,0.001299744,0.0009344158,0.001772894,0.00119722,0.0008216525,0.01066649],"category_scores_gemma":[0.004829701,0.0004489566,0.0007303199,0.001237803,0.001348346,0.00291278,0.001916501,0.001479078,0.00379356],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001491899,"about_ca_system_score_gemma":0.002954636,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00359392,"about_ca_topic_score_gemma":0.006011794,"domain_scores_codex":[0.9987704,0.0002556005,0.00007701494,0.0002544594,0.0004334184,0.0002091214],"domain_scores_gemma":[0.9988413,0.0004011178,0.00009952545,0.0003354192,0.0002583892,0.00006421142],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001052563,0.0002447922,0.001307579,0.000185371,0.00009451279,0.0002358422,0.000276536,0.08839387,0.02627541,0.3552225,0.0239687,0.5027424],"study_design_scores_gemma":[0.0003824161,0.0003172691,0.0003651313,0.0000609034,0.00004469603,0.0002548799,0.0001235312,0.615438,0.02129317,0.3375768,0.02403909,0.0001039681],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0166703,0.0002512377,0.96979,0.0003993109,0.000149882,0.0001330622,0.0001772959,0.00263439,0.009794456],"genre_scores_gemma":[0.2258459,0.0002856915,0.7593996,0.0004268077,0.0001615733,0.0004637458,0.0008330629,0.0004031944,0.01218049],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01066649,"threshold_uncertainty_score":0.03568298,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01707131595641436,"score_gpt":0.2544514885713277,"score_spread":0.2373801726149133,"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."}}