{"id":"W2060482068","doi":"10.1145/2576802.2576810","title":"Gelfand-Kirillov dimensions of differential difference modules via Gröbner bases","year":2014,"lang":"en","type":"article","venue":"ACM communications in computer algebra","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Differential (mechanical device); Mathematics; Pure mathematics; Algebra over a field; Physics","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":[0.001054855,0.0005919715,0.0005900771,0.002256023,0.0009885611,0.002405472,0.0008814776,0.0006580932,0.007648317],"category_scores_gemma":[0.001979755,0.0003564359,0.0006107436,0.001074943,0.00209436,0.004450712,0.002107416,0.002062376,0.0007131157],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001476826,"about_ca_system_score_gemma":0.0006112952,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005970951,"about_ca_topic_score_gemma":0.0007296685,"domain_scores_codex":[0.9993679,0.0001795953,0.00002796563,0.00008881696,0.0002218825,0.000113857],"domain_scores_gemma":[0.9991177,0.0003151819,0.0001080749,0.00008628058,0.0001808792,0.0001918744],"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":[0.000009351884,0.00001189624,0.00006678797,0.00001183014,0.000003076686,0.00001703205,0.00009784287,0.00042841,0.0003334234,0.996003,0.0003671994,0.00265029],"study_design_scores_gemma":[0.000008094031,0.000009401551,0.00008748293,0.000006315504,0.000001953335,0.00002952742,0.00002428298,0.002923214,0.0002047388,0.9955398,0.001158975,0.000006216251],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5357765,0.002330548,0.2449152,0.003458814,0.0005241904,0.0001139597,0.0005649073,0.0002850667,0.2120309],"genre_scores_gemma":[0.9512227,0.0006626316,0.02827469,0.0003094457,0.0003133586,0.00009519394,0.0001992663,0.00008106743,0.0188418],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007648317,"threshold_uncertainty_score":0.02558619,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02101367838431939,"score_gpt":0.2784219744248921,"score_spread":0.2574082960405727,"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."}}