{"id":"W4388558761","doi":"10.1016/j.jde.2023.10.054","title":"Refined probabilistic local well-posedness for a cubic Schrödinger half-wave equation","year":2023,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Ansatz; Smoothing; Nonlinear system; Probabilistic logic; Nonlinear Schrödinger equation; Mathematical analysis; Schrödinger equation; Wave equation; Applied mathematics; Mathematical physics; Physics; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004145462,0.001438153,0.001899528,0.0015294,0.001019055,0.002400957,0.002716562,0.002629623,0.003975593],"category_scores_gemma":[0.01114208,0.0008365401,0.00141105,0.0006486446,0.004418525,0.004859017,0.004837651,0.003559837,0.0002827971],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001939378,"about_ca_system_score_gemma":0.00198435,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.006072012,"about_ca_topic_score_gemma":0.003574219,"domain_scores_codex":[0.9989158,0.0004159764,0.00005849885,0.0001613929,0.0002964432,0.0001519757],"domain_scores_gemma":[0.9935495,0.003460353,0.0007723485,0.0003927099,0.001050197,0.0007748185],"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":[0.0001911079,0.00007260007,0.0008455237,0.0001430405,0.00005937029,0.0002973326,0.0002461598,0.1212804,0.005519407,0.8681803,0.0009701718,0.002194572],"study_design_scores_gemma":[0.00003141341,0.00003446113,0.0002857596,0.00001258092,0.00001059097,0.00005836798,0.00004950745,0.7749719,0.0004833892,0.223758,0.000268357,0.00003563811],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2297579,0.0006095568,0.7483876,0.003603427,0.000224244,0.0001436999,0.0004509377,0.0002149687,0.0166076],"genre_scores_gemma":[0.9254623,0.00051663,0.05350387,0.0007887476,0.0002386747,0.000189395,0.0005444147,0.0002313473,0.01852472],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006072012,"threshold_uncertainty_score":0.02192354,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.14351307105544,"score_gpt":0.3531716175187037,"score_spread":0.2096585464632638,"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."}}