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

Table 3

Results of fault detection performance indicators for MTEP mode 1.

IDV	MAR (%) and delay in MTEP mode 1
	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	3.63	3.25	26	1.38	2.88	13	1.63	3.00	14	2.38	3.25	19
2	29.63	41.13	32	6.75	38.00	27	2.88	41.50	26	3.88	41.13	32
3	100.00	100.00	△	96.25	99.88	△	87.38	99.88	228	2.88	100.00	1
4	0.00	98.63	0	99.63	97.75	4	0.00	98.13	0	0.00	98.63	0
5	100.00	100.00	△	96.63	97.25	△	97.63	99.75	△	24.75	100.00	100
6	0.00	0.75	0	0.00	0.13	0	0.00	0.50	0	0.00	0.75	0
7	0.00	84.50	0	0.13	85.50	0	0.00	85.00	0	0.00	84.50	0
8	15.13	26.63	114	20.50	28.38	116	12.00	27.38	107	12.38	26.63	102
9	100.00	100.00	△	92.13	96.00	72	84.75	99.38	86	14.38	100.00	19
10	25.63	100.00	171	36.50	99.25	187	23.00	99.13	168	16.75	100.00	107
11	11.88	60.50	24	68.63	65.50	25	11.00	60.75	23	3.25	60.63	21
12	99.88	74.75	79	78.75	62.75	69	67.38	77.25	80	27.75	75.00	79
13	16.13	12.50	100	12.50	12.13	98	11.00	12.00	93	12.50	12.50	100
14	17.00	99.50	71	71.25	93.88	117	7.63	96.75	65	7.63	99.50	66
15	100.00	100.00	△	100.00	98.88	△	88.63	99.25	228	32.75	100.00	41
16	100.00	100.00	△	100.00	97.88	△	87.13	99.63	228	18.13	100.00	22
17	3.88	78.25	24	13.38	78.00	40	3.13	80.13	25	2.13	78.13	17
18	71.88	95.13	464	98.38	93.38	685	60.13	96.13	228	24.88	95.25	107
19	12.00	93.13	64	55.25	91.63	151	4.13	92.75	43	2.75	93.13	21
20	26.75	57.63	165	30.88	47.50	238	19.00	57.75	167	10.75	57.63	42
	Average FAR (%) in MTEP mode 1
	1.05	1.53	—	3.30	1.83	—	2.53	0.68	—	10.48	1.18	—