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

Table 10

Comparison of classification accuracy among the ANN, LR-ANN, and MARS-ANN models.

Correlation 𝜌	Shift value 𝛿𝑖	Type of mean shifts	ANN	LR-ANN	MARS-ANN
0.1	0.5	(1, 0, …, 0)	60.80%	61.20%	58.40%
		(1, 0, 1, 0, …, 0)	60.80%	59.20%	62.40%
		(1, 0, 1, 0, 1, 0, …, 0)	56.00%	70.40%	58.80%
	1.0	(1, 0, …, 0)	58.00%	80.40%	85.60%
		(1, 0, 1, 0, …, 0)	86.40%	84.80%	81.20%
		(1, 0, 1, 0, 1, 0, …, 0)	56.00%	92.80%	86.00%
0.5	0.5	(1, 0, …, 0)	38.80%	66.00%	59.60%
		(1, 0, 1, 0, …, 0)	46.00%	55.60%	62.00%
		(1, 0, 1, 0, 1, 0, …, 0)	46.40%	70.80%	64.80%
	1.0	(1, 0, …, 0)	90.40%	91.60%	94.00%
		(1, 0, 1, 0, …, 0)	94.40%	63.60%	94.40%
		(1, 0, 1, 0, 1, 0, …, 0)	85.20%	96.40%	94.00%
0.9	0.5	(1, 0, …, 0)	82.40%	93.20%	81.30%
		(1, 0, 1, 0, …, 0)	94.40%	82.80%	94.40%
		(1, 0, 1, 0, 1, 0, …, 0)	56.00%	96.80%	92.00%
	1.0	(1, 0, …, 0)	98.80%	44.00%	100.00%
		(1, 0, 1, 0, …, 0)	100.00%	100.00%	100.00%
		(1, 0, 1, 0, 1, 0, …, 0)	98.40%	100.00%	99.20%
Average of accurate identification rates			72.73%	78.31%	81.57%
Standard error of accurate identification rates			0.05007	0.04092	0.03767