{"id":"W2555337463","doi":"10.1016/j.geomphys.2016.11.003","title":"Finite-dimensional integrable systems: A collection of research problems","year":2016,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":14,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Kronecker delta; Mathematics; Integrable system; Gravitational singularity; Algebra over a field; Algebraic geometry; Pure mathematics; Poisson distribution; Poisson bracket; Poisson algebra; Lie algebra; Series (stratigraphy); Algebraic number; Mathematical analysis","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":[0.002154614,0.0008363831,0.002211888,0.00256973,0.001713055,0.005900772,0.001461373,0.004120472,0.002311479],"category_scores_gemma":[0.005381772,0.0006989271,0.001383244,0.003344963,0.004716247,0.006893855,0.002017287,0.003472688,0.0003785304],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001560775,"about_ca_system_score_gemma":0.001164303,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007477478,"about_ca_topic_score_gemma":0.0007818357,"domain_scores_codex":[0.9991881,0.0002616556,0.00006854715,0.0002112406,0.0001962543,0.00007420981],"domain_scores_gemma":[0.9960304,0.002741725,0.0003882124,0.000273356,0.0003042189,0.0002619999],"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":[0.0000106761,0.00006226639,0.0004184893,0.0002354229,0.00003487369,0.00008605481,0.0001857214,0.006009324,0.0003321965,0.9809435,0.002995204,0.008686318],"study_design_scores_gemma":[0.000009058848,0.000007584174,0.0001770573,0.00003017834,0.000007770881,0.00008293098,0.000102509,0.01452514,0.0000563186,0.9831005,0.001889864,0.00001106156],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2987929,0.1350498,0.4348313,0.05615652,0.001892386,0.00008967008,0.001171566,0.000334162,0.07168178],"genre_scores_gemma":[0.8130869,0.08508874,0.07223587,0.003214947,0.009292409,0.0002069077,0.001795499,0.0001473761,0.01493129],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005900772,"threshold_uncertainty_score":0.01139486,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03527765829907058,"score_gpt":0.3123147881854126,"score_spread":0.277037129886342,"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."}}