Hybrid Artificial Neural Networks Modeling for Faults Identification of a Stochastic Multivariate Process

Table 9

ANN topology settings for different hybrid LR-ANN and MARS-ANN models.

Correlation 𝜌	Shift value 𝛿𝑖	Type of mean shifts	ANN topology for LR-ANN	ANN topology for MARS-ANN
0.1	0.5	(1, 0, …, 0)	{8-8-1}	{8-9-1}
		(1, 0, 1, 0, …, 0)	{8-8-1}	{8-7-1}
		(1, 0, 1, 0, 1, 0, …, 0)	{8-8-1}	{8-10-1}
	1.0	(1, 0, …, 0)	{11-13-1}	{5-5-1}
		(1, 0, 1, 0, …, 0)	{11-12-1}	{5-6-1}
		(1, 0, 1, 0, 1, 0, …, 0)	{11-12-1}	{5-7-1}
0.5	0.5	(1, 0, …, 0)	{10-10-1}	{10-10-1}
		(1, 0, 1, 0, …, 0)	{10-10-1}	{10-10-1}
		(1, 0, 1, 0, 1, 0, …, 0)	{10-10-1}	{10-10-1}
	1.0	(1, 0, …, 0)	{9-9-1}	{8-9-1}
		(1, 0, 1, 0, …, 0)	{9-7-1}	{8-8-1}
		(1, 0, 1, 0, 1, 0, …, 0)	{9-11-1}	{8-9-1}
0.9	0.5	(1, 0, …, 0)	{8-9-1}	{10-9-1}
		(1, 0, 1, 0, …, 0)	{8-10-1}	{10-10-1}
		(1, 0, 1, 0, 1, 0, …, 0)	{8-9-1}	{10-11-1}
	1.0	(1, 0, …, 0)	{2-2-1}	{8-6-1}
		(1, 0, 1, 0, …, 0)	{2-2-1}	{8-8-1}
		(1, 0, 1, 0, 1, 0, …, 0)	{2-2-1}	{8-7-1}