{"id":"W4292946078","doi":"10.48550/arxiv.2208.10443","title":"Rapid evaluation of Newtonian potentials on planar domains","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Numerical methods in engineering","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Discretization; Newtonian potential; Planar; Monomial; Newtonian fluid; Mathematics; Interpolation (computer graphics); Applied mathematics; Poisson's equation; Domain (mathematical analysis); Order (exchange); Simple (philosophy); Polynomial; Bivariate analysis; Polynomial interpolation; Mathematical optimization; Computer science; Algorithm; Mathematical analysis; Linear interpolation; Pure mathematics; Physics; Classical mechanics; Artificial intelligence; Image (mathematics)","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":[0.0003783902,0.0003998623,0.0004454551,0.000414308,0.0003453954,0.0005966335,0.0005152927,0.0004245769,0.001674015],"category_scores_gemma":[0.001710032,0.0002169781,0.0002584732,0.0004119659,0.0004786298,0.0007713142,0.001100318,0.0006249963,0.0004294415],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000404815,"about_ca_system_score_gemma":0.0006948638,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001739533,"about_ca_topic_score_gemma":0.001979705,"domain_scores_codex":[0.9997997,0.00004331281,0.000007137477,0.00001611002,0.0001075496,0.00002629825],"domain_scores_gemma":[0.999501,0.0002592943,0.00003992568,0.00004961439,0.0001188019,0.00003142754],"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":[0.00009253697,0.00004879761,0.001412763,0.0002011118,0.0000209252,0.0003275853,0.0002385844,0.756922,0.05515497,0.07054964,0.001744831,0.1132863],"study_design_scores_gemma":[0.00000731205,0.00001677548,0.0001792989,0.000008408064,0.000001715105,0.00004829756,0.000032233,0.9841774,0.007412481,0.006345454,0.001763849,0.000006871473],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1051133,0.0002711302,0.8847725,0.0001545356,0.00003917013,0.00005244163,0.00007371295,0.0007468967,0.008776371],"genre_scores_gemma":[0.5467119,0.0005148355,0.446965,0.00004905794,0.0000202348,0.00007148428,0.0001681436,0.0002447732,0.005254616],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.001739533,"threshold_uncertainty_score":0.005600154,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1134533603191666,"score_gpt":0.2262883617406669,"score_spread":0.1128350014215003,"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."}}