{"id":"W2608366086","doi":"10.1090/crmp/041/04","title":"Sparse tensor-product Fokker–Planck-based methods for nonlinear bead-spring chain models of dilute polymer solutions","year":2007,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Tensor decomposition and applications","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Spring (device); Chain (unit); Fokker–Planck equation; Nonlinear system; Product (mathematics); Bead; Statistical physics; Polymer; Tensor (intrinsic definition); Physics; Materials science; Mathematics; Thermodynamics; Mathematical analysis; Geometry; Quantum mechanics; Composite material","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":[0.001366703,0.001141833,0.001719318,0.0007019017,0.0008685742,0.001246984,0.003829837,0.002901336,0.003919296],"category_scores_gemma":[0.004162404,0.001048841,0.001294549,0.001194411,0.001606028,0.002502827,0.002289402,0.002942404,0.001326909],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001070144,"about_ca_system_score_gemma":0.001432757,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00907269,"about_ca_topic_score_gemma":0.00789048,"domain_scores_codex":[0.9995963,0.0001923207,0.0000247075,0.00004505404,0.0001070793,0.0000345729],"domain_scores_gemma":[0.997823,0.00129029,0.0001428004,0.0002820727,0.0002976083,0.000164236],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00007472945,0.0001069126,0.000203938,0.0002405265,0.00006813909,0.00004894735,0.0001489601,0.8578175,0.00254791,0.1004706,0.00448826,0.03378361],"study_design_scores_gemma":[0.000003380773,0.000002054229,0.00001060426,0.000002843852,0.000001332462,0.00000264919,0.000002965255,0.9914825,0.00009907667,0.008119624,0.0002696239,0.000003378398],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.009724579,0.0007954587,0.9846076,0.0004592943,0.0001250307,0.00005471591,0.0001267585,0.0003034511,0.003803064],"genre_scores_gemma":[0.2348863,0.002076425,0.734139,0.0004175367,0.0005880821,0.0006109145,0.0008323978,0.000994791,0.02545461],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00907269,"threshold_uncertainty_score":0.01803976,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1349013296623048,"score_gpt":0.3703475968136961,"score_spread":0.2354462671513913,"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."}}