On the Training Algorithms for Artificial Neural Network in Predicting the Shear Strength of Deep Beams

Table 3

Summary of R, RMSE, MAE, and MAPE mean values and std values of 4 ANN models for the testing part.

	Epochs
	100	200	300	400	500	600	700	800	900	1000
Mean (R)
LM	0.747	0.697	0.644	0.603	0.565	0.535	0.488	0.479	0.476	0.441
QN	0.918	0.940	0.949	0.955	0.959	0.955	0.959	0.960	0.961	0.958
CG	0.971	0.965	0.961	0.953	0.952	0.935	0.934	0.930	0.917	0.911
GD	0.924	0.955	0.961	0.963	0.964	0.965	0.965	0.965	0.969	0.966
Std (R)
LM	0.207	0.197	0.216	0.239	0.259	0.276	0.266	0.292	0.278	0.283
QN	0.055	0.049	0.030	0.030	0.027	0.041	0.041	0.030	0.032	0.035
CG	0.020	0.031	0.043	0.043	0.043	0.064	0.062	0.074	0.079	0.088
GD	0.052	0.040	0.025	0.026	0.028	0.025	0.033	0.031	0.033	0.032
Mean (RMSE)
LM	110.43	128.02	161.42	185.82	207.44	221.53	246.05	292.03	305.51	338.32
QN	48.24	41.48	38.20	35.99	34.29	34.71	33.08	33.13	32.80	33.12
CG	28.07	29.76	32.38	35.54	37.34	42.46	42.85	44.37	48.90	52.36
GD	45.81	35.08	33.24	32.63	30.54	30.41	30.22	30.86	29.60	29.44
Std (RMSE)
LM	79.10	69.85	109.87	129.88	141.54	150.88	162.70	250.70	302.82	296.92
QN	13.72	14.69	10.64	9.81	10.26	14.38	9.19	9.70	8.62	10.98
CG	8.44	9.98	11.03	11.93	14.19	19.98	16.45	22.47	22.53	23.66
GD	13.94	12.16	8.93	8.97	8.15	8.61	10.08	11.02	11.65	9.01
Mean (MAE)
LM	61.02	71.41	88.19	100.41	113.37	122.23	135.83	158.97	167.94	184.97
QN	33.94	28.72	26.51	25.16	23.92	23.95	23.15	23.14	22.56	22.79
CG	19.26	20.02	21.06	22.86	24.07	26.13	26.49	27.22	29.32	31.44
GD	32.02	24.37	23.14	22.78	21.14	20.94	20.72	21.02	20.30	20.28
Std (MAE)
LM	32.37	33.30	50.19	64.17	71.34	78.82	87.98	127.07	144.57	156.18
QN	8.70	8.39	6.45	5.97	6.13	7.58	5.64	5.90	4.89	6.35
CG	4.75	5.56	5.74	6.23	7.59	9.59	8.21	10.36	10.62	11.80
GD	8.69	6.47	5.57	5.28	4.66	4.82	5.56	5.94	6.04	5.18
Mean (MAPE)
LM	36.62	43.71	54.01	64.17	70.05	75.47	84.91	102.03	105.79	116.68
QN	19.17	15.87	14.83	13.94	13.30	13.49	13.06	12.91	12.78	13.02
CG	11.05	11.57	12.15	13.35	13.81	15.04	15.46	15.84	16.67	18.02
GD	17.48	13.58	13.01	12.80	12.02	11.79	11.58	11.85	11.35	11.35
Std (MAPE)
LM	21.34	24.06	34.86	45.16	48.65	55.14	57.45	88.24	94.75	92.62
QN	6.07	5.14	4.22	3.91	3.65	5.99	3.87	4.16	3.81	4.49
CG	3.45	4.23	4.43	5.04	5.60	6.05	6.03	7.44	7.17	7.92
GD	4.89	4.44	3.85	3.64	3.07	3.57	3.49	3.98	3.95	3.50