{"id":"W2001322084","doi":"10.1063/1.3133106","title":"Method of descent for integrable lattices","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Integrable system; Hamiltonian system; Mathematics; Hamiltonian (control theory); Descent (aeronautics); Mathematical physics; Lax pair; Gradient descent; Camassa–Holm equation; Pure mathematics; Mathematical analysis; Physics; Computer science; Mathematical optimization","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":[0.0003000631,0.00007999399,0.0003215426,0.00001849769,0.00002582348,0.00001664146,0.0001272611,0.00001881127,0.00006279277],"category_scores_gemma":[0.00001806649,0.00005565409,0.0002722486,0.00005945281,0.00002019548,0.00009310355,0.000009485139,0.0001193296,0.000003221723],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007787872,"about_ca_system_score_gemma":0.00003977411,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.184895e-7,"about_ca_topic_score_gemma":1.758201e-8,"domain_scores_codex":[0.999273,0.00002232861,0.0003874103,0.00005059637,0.0001434802,0.0001231612],"domain_scores_gemma":[0.999108,0.0002408617,0.0003212241,0.00009597003,0.0001683276,0.00006562092],"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":[0.00004439785,0.001183999,0.0001022607,0.00009210136,0.0001362385,6.704677e-7,0.0004182896,0.0001924476,0.004059197,0.9168783,0.0009559998,0.07593611],"study_design_scores_gemma":[0.0004030004,0.0002374793,0.00005577769,0.0001130706,0.00009416463,0.00000251525,0.0002394101,0.004160191,0.02045439,0.9733132,0.000857914,0.00006887469],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0250679,0.0000203791,0.969064,0.0002672334,0.0000436826,0.0000913892,0.00001303782,0.0000025825,0.005429803],"genre_scores_gemma":[0.5861724,0.000001255062,0.4130005,0.00003878342,0.000605854,7.350503e-7,0.000001367143,0.000008488805,0.0001706398],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5611045,"threshold_uncertainty_score":0.2269508,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0304120796674434,"score_gpt":0.3508256253226021,"score_spread":0.3204135456551587,"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."}}