{"id":"W2109472707","doi":"10.1007/s00023-014-0391-8","title":"Rational Differential Systems, Loop Equations, and Application to the qth Reductions of KP","year":2015,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":26,"is_retracted":false,"has_abstract":false,"ca_institutions":"Montreal Clinical Research Institute","funders":"Simons Foundation; Max-Planck-Gesellschaft; Fonds Québécois de la Recherche sur la Nature et les Technologies; National Science Foundation","keywords":"Semiclassical physics; Recursion (computer science); Type (biology); Loop (graph theory); Set (abstract data type); Differential (mechanical device); Matrix (chemical analysis)","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001600033,0.0001009022,0.000131583,0.00004021499,0.0001308436,0.0000447362,0.000117719,0.00002250642,0.00001717579],"category_scores_gemma":[0.000008384304,0.00008005241,0.00004581661,0.0001441961,0.00003507941,0.00008542174,0.00005207533,0.00007279491,0.00005184353],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000118884,"about_ca_system_score_gemma":0.00009492294,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002140523,"about_ca_topic_score_gemma":0.00000971221,"domain_scores_codex":[0.9992404,0.00005592979,0.0002154911,0.0001696413,0.000192397,0.0001261345],"domain_scores_gemma":[0.9993155,0.0000520079,0.0001063459,0.0002378349,0.0001877855,0.0001005487],"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":[0.00002267843,0.0001514631,0.0007835139,0.00001786896,0.00008677573,1.432623e-7,0.0006411475,0.0007913654,0.002979162,0.9704555,0.01366388,0.01040646],"study_design_scores_gemma":[0.003857042,0.0009420315,0.01053019,0.0002851932,0.0006097399,0.00002143237,0.01278999,0.4344672,0.01438913,0.3247808,0.1953611,0.001966185],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4783795,0.0004265698,0.5148697,0.002186779,0.0004765771,0.0007776021,0.0002903413,0.00003141876,0.002561476],"genre_scores_gemma":[0.9985858,0.000004275073,0.0000935164,0.00003646883,0.0005867166,0.00008690501,0.0001543992,0.00001191678,0.0004400458],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6456748,"threshold_uncertainty_score":0.3264443,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02347192498562741,"score_gpt":0.2691889077234864,"score_spread":0.2457169827378589,"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."}}