{"id":"W2115352291","doi":"10.2991/jnmp.2006.13.4.12","title":"Provenance of Type II hidden symmetries from nonlinear partial differential equations","year":2006,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":45,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Division of Mathematical Sciences; Australian Mathematical Sciences Institute; McGill University","keywords":"Mathematics; Homogeneous space; Type (biology); Nonlinear system; Partial differential equation; Mathematical analysis; Pure mathematics; Geometry; Physics; Geology","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001258947,0.0002060939,0.0005895547,0.00005107011,0.000107488,0.00004294324,0.000261411,0.00006261856,0.0003726826],"category_scores_gemma":[0.00007689786,0.0001606044,0.0003434424,0.0002559313,0.0001329774,0.000192758,0.00009715535,0.0003179964,0.00002734413],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001858118,"about_ca_system_score_gemma":0.0001633103,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000442257,"about_ca_topic_score_gemma":6.607368e-7,"domain_scores_codex":[0.998187,0.0000458752,0.0009156711,0.0001471769,0.0004571394,0.0002471264],"domain_scores_gemma":[0.9981573,0.0003094043,0.0006780287,0.000268268,0.0004873702,0.00009961904],"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":[0.0005328186,0.01802588,0.00357889,0.0003338808,0.001704064,0.00002853121,0.001681034,0.001436084,0.03962738,0.8989637,0.004442603,0.02964512],"study_design_scores_gemma":[0.003564515,0.001078242,0.0009311028,0.0006031229,0.0009762265,0.000006608927,0.0005546712,0.1905093,0.07556666,0.7196507,0.005685409,0.0008734355],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8444667,0.0001010551,0.1512265,0.000257025,0.0004151816,0.0002062373,0.0004375425,0.00001655039,0.00287321],"genre_scores_gemma":[0.9534507,0.000003068767,0.04069444,0.00001656691,0.005355071,0.000001666803,0.00008668739,0.0000353542,0.0003564487],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1890732,"threshold_uncertainty_score":0.6549259,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01741038133400559,"score_gpt":0.2691037129307356,"score_spread":0.25169333159673,"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."}}