Advances in Artificial Intelligence / 2011 / Article / Tab 3

Research Article

Development of Artificial Neural-Network-Based Models for the Simulation of Spring Discharge

Table 3

Selection of the best model from the Levenberg-Marquardt algorithm.

Model inputs No. of  inputsAlgorithmArchitecture No. of hidden layerTrainingTestingValidation
RDCRDCRDC

Rt, Et, Tt3[3-8-1]One 0.606 −0.957 0.491 −1.892 0.623 −1.449
Qt−1, Rt, Rt−1, Et, Et−1, Tt, Tt−17[7-3-1]One 0.995 0.990 0.966 0.932 0.961 0.909
Qt−1, Qt−2, Rt, Rt−1, Rt−2, Et, Et−1, Et−2, Tt, Tt−1, Tt−211[ 11-10-1]One
Qt−1, Qt−2, Qt−3, Rt, Rt−1, Rt−2, Rt−3, Et, Et−1, Et−2,Et−3, Tt, Tt−1, Tt−2, Tt−315[15-10-1]One 0.983 0.960 0.950 0.894 0.971 0.940
Qt−1, Qt−2, Qt−3, Qt−4, Rt, Rt−1, Rt−2, Rt−3, Rt−4, Et, Et−1, Et−2, Et−3, Et−4, Tt, Tt−1, Tt−2, Tt−3, Tt−419Levenberg-Marquardt[19-13-1]One 0.982 0.956 0.989 0.969 0.975 0.928
Rt, Et, Tt3[3-2-2-1]Two 0.528 −210441.73 0.521 −168494.734 0.392 −214100.83
Qt-1, Rt, Rt-1, Et, Et-1, Tt, Tt-17[7-3-2-1]Two 0.985 0.967 0.970 0.935 0.168 0.934
Qt−1, Qt−2, Rt, Rt−1, Rt−2, Et, Et−1, Et−2, Tt, Tt−1, Tt−211[11-3-2-1]Two 0.986 0.972 0.983 0.961 0.957 0.914
Qt−1, Qt−2, Qt−3, Rt, Rt−1, Rt−2, Rt−3, Et, Et−1, Et−2,Et−3, Tt, Tt−1, Tt−2, Tt−315[15-3-3-1]Two 0.982 0.941 0.93 0.89 0.986 0.91
Qt−1, Qt−2, Qt−3, Qt−4, Rt, Rt−1, Rt−2, Rt−3, Rt−4, Et, Et−1, Et−2, Et−3, Et−4, Tt, Tt−1, Tt−2, Tt−3, Tt−419[ 19-4 -3-1]Two

Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.