{"id":"W2133384197","doi":"10.1186/s13662-015-0402-1","title":"Factorizations for difference operators","year":2015,"lang":"en","type":"article","venue":"Advances in Difference Equations","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba; University of Waterloo","funders":"University Research Council, DePaul University","keywords":"Mathematics; Partial differential equation; Ordinary differential equation; Applied mathematics; Algebra over a field; Pure mathematics; Mathematical analysis; Differential equation","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":[0.0002081604,0.000140663,0.0001533536,0.0001999356,0.0001606511,0.0001221023,0.0008170645,0.00004665828,0.000005611713],"category_scores_gemma":[0.0006255971,0.0001284609,0.00005152953,0.0008221098,0.00007117145,0.0007467942,0.0001104593,0.00009996747,0.00001096233],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004737642,"about_ca_system_score_gemma":0.0001108404,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006057207,"about_ca_topic_score_gemma":0.00009221116,"domain_scores_codex":[0.9988763,0.00007225152,0.0002418793,0.0003450292,0.000194265,0.0002702974],"domain_scores_gemma":[0.9986221,0.0005884318,0.00006973786,0.0004421385,0.0001522535,0.000125379],"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":[0.000004179231,0.00007699522,0.005684097,0.000005216294,0.000002945901,4.270942e-7,0.001214438,0.0007484426,0.0001446936,0.95374,0.00001326357,0.03836528],"study_design_scores_gemma":[0.0006905698,0.000197145,0.007863813,0.0000477763,0.00000679153,0.000001136935,0.0002933148,0.06316874,0.0005516576,0.9234318,0.003381927,0.000365397],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.020582,0.000455687,0.9765294,0.0003102894,0.0006215607,0.0002722157,0.00001440052,0.0001409508,0.00107347],"genre_scores_gemma":[0.9736754,0.00005549894,0.02569831,0.0001115777,0.00004389093,0.0002428653,0.00001408836,0.000006887686,0.0001514794],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9530934,"threshold_uncertainty_score":0.5238485,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04857355432760668,"score_gpt":0.309822095438099,"score_spread":0.2612485411104923,"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."}}