Modified t-Distribution Stochastic Neighbor Embedding Using Augmented Kernel Mahalanobis-Distance for Dynamic Multimode Chemical Process Monitoring

Table 4

Results of fault detection performance indicators for MTEP mode 2.

IDV	MAR (%) and delay in MTEP mode 2
	DLLE-SVDD			t-SNE-SVDD			M-t-SNE-SVDD			AKMD-t-SNE-SVDD
	FS	RS	Delay	FS	RS	Delay	FS	RS	Delay	FS	RS	Delay
1	4.00	2.13	17	3.25	2.00	23	1.25	1.50	14	1.25	2.13	10
2	15.38	2.25	18	15.50	1.88	14	3.00	1.63	14	4.38	2.25	18
3	100.00	98.25	123	100.00	96.50	△	83.75	89.00	193	17.88	98.25	102
4	0.13	92.00	1	100.00	97.38	6	0.00	86.13	0	0.00	92.13	0
5	100.00	98.63	258	99.50	98.00	△	87.00	90.63	194	27.25	98.75	5
6	0.00	0.13	0	0.00	0.25	0	0.00	0.00	0	0.00	0.13	0
7	0.00	79.25	0	0.13	77.63	0	0.00	76.00	0	0.00	79.38	0
8	18.75	12.75	102	20.63	24.38	118	13.50	13.25	99	12.88	12.75	102
9	100.00	98.38	123	100.00	98.88	△	84.63	88.75	118	32.00	98.38	103
10	26.13	96.63	123	50.00	91.13	210	22.88	86.00	162	14.13	96.63	105
11	22.63	33.88	25	59.00	71.88	28	12.88	42.13	23	4.63	33.88	23
12	99.63	61.00	30	87.00	84.00	28	71.38	64.75	27	15.63	61.00	18
13	14.63	10.00	80	10.00	10.63	85	10.13	9.00	80	12.75	10.00	80
14	3.00	43.50	21	68.88	88.88	△	2.50	63.25	20	0.88	43.25	12
15	100.00	96.88	122	100.00	91.25	118	86.63	89.25	118	17.88	96.88	113
16	99.88	96.13	90	100.00	100.00	△	94.38	87.63	228	20.50	96.00	89
17	14.00	74.63	26	32.63	92.13	37	3.13	77.50	25	2.75	74.50	20
18	71.50	91.25	123	90.13	96.63	645	45.75	85.38	191	16.00	91.38	114
19	20.88	83.88	67	54.88	83.50	118	8.38	77.88	55	3.00	83.88	24
20	26.00	22.75	122	27.88	40.38	104	19.38	27.13	118	12.50	22.75	100
	Average FAR (%) in MTEP mode 2
	0.00	0.03	—	2.63	2.03	—	0.33	7.03	—	5.08	0.03	—