{"id":"W2035203316","doi":"10.1155/2011/689427","title":"Similarity Solutions of Partial Differential Equations in Probability","year":2011,"lang":"en","type":"article","venue":"Journal of Probability and Statistics","topic":"Scientific Research and Discoveries","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Polytechnique Montréal","funders":"","keywords":"Mathematics; Partial differential equation; Similarity (geometry); Fourier series; Applied mathematics; Boundary (topology); Series (stratigraphy); Differential equation; Diffusion; Fourier transform; Mathematical analysis; Computer science","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":[0.001652553,0.001009468,0.001291141,0.001434919,0.0009072666,0.0016788,0.001204794,0.002188754,0.002334779],"category_scores_gemma":[0.0079365,0.000592962,0.001552098,0.001460394,0.002175623,0.002109552,0.002171121,0.002030434,0.0004038436],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001234148,"about_ca_system_score_gemma":0.001487604,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004125884,"about_ca_topic_score_gemma":0.001872043,"domain_scores_codex":[0.9993913,0.0002678734,0.00003008797,0.00006915704,0.0001539034,0.00008762937],"domain_scores_gemma":[0.9973747,0.001704574,0.0003186081,0.00008407165,0.0003492175,0.0001689213],"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":[0.00003278645,0.0000278869,0.0006652967,0.0001217981,0.00003862396,0.0002740787,0.0002352563,0.1416568,0.001550194,0.8468729,0.001077891,0.007446455],"study_design_scores_gemma":[0.00002069782,0.00002047821,0.0001924228,0.00001723741,0.000009301236,0.00009938108,0.00004685051,0.8231215,0.0004349852,0.1749612,0.001055024,0.00002083433],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0677278,0.002178881,0.9169795,0.001315017,0.000286857,0.00009125372,0.00008340222,0.0001414611,0.01119586],"genre_scores_gemma":[0.8297389,0.003049414,0.1357947,0.0004816072,0.0006385372,0.0004111639,0.0002480878,0.0001776056,0.02945996],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004125884,"threshold_uncertainty_score":0.008954406,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1106905172941047,"score_gpt":0.302250844220679,"score_spread":0.1915603269265743,"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."}}