{"id":"W2770220495","doi":"10.1007/s00025-023-02076-1","title":"Reduced Ideals from the Reduction Algorithm","year":2024,"lang":"en","type":"article","venue":"Results in Mathematics","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University of Edmonton","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Reduction (mathematics); Mathematics; Field (mathematics); Algorithm; Good reduction; Algebraic number field; Discrete mathematics; Pure mathematics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001154868,0.0007157353,0.0009998197,0.001840711,0.001415528,0.00336027,0.001080868,0.0009074771,0.01267443],"category_scores_gemma":[0.002872035,0.0004467038,0.001261854,0.001162516,0.002614167,0.005000915,0.002993263,0.004778351,0.005269793],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001014553,"about_ca_system_score_gemma":0.0009380333,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004528866,"about_ca_topic_score_gemma":0.0004893046,"domain_scores_codex":[0.9985183,0.0004119102,0.00006207726,0.0002096059,0.0006159226,0.0001821471],"domain_scores_gemma":[0.9988247,0.0004477163,0.00005536207,0.0002586438,0.0003231244,0.00009046133],"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":[0.00009156539,0.00003978646,0.0001194633,0.00006982302,0.00001347156,0.00005577171,0.0001535634,0.0009947845,0.001492286,0.9716997,0.005189995,0.02007992],"study_design_scores_gemma":[0.00003858135,0.00002889439,0.0001123875,0.00002071255,0.0000144312,0.0001624885,0.00004680661,0.003620241,0.003010474,0.972142,0.02078775,0.00001520377],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09657238,0.003313883,0.522794,0.005775466,0.001534067,0.0001826229,0.0007754581,0.001397434,0.3676548],"genre_scores_gemma":[0.6994969,0.002864972,0.169585,0.001838624,0.002068152,0.0002242055,0.001892907,0.00138606,0.1206431],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01267443,"threshold_uncertainty_score":0.04240018,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01792491751787747,"score_gpt":0.2667923829134392,"score_spread":0.2488674653955617,"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."}}