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. Author manuscript; available in PMC: 2019 Jul 12.
Published in final edited form as: Comput Chem Eng. 2018 Mar 28;115:46–63. doi: 10.1016/j.compchemeng.2018.03.025

Table 4.

Two-step Rolling Time Horizon Analysis: Selected Model Performances for Fault 7 (easy), 8 (moderate), and 15 (challenging)

Fault Sample Bin Fault Detection Rate Optimal Feature Subset Size Accuracy False Alarm Rate AUC
Fault-7
Feed Temperature Change
19–20* 0.83 21 0.92 0.00 1.00
19-20 0.83 10 0.91 0.00 1.00
39-40 1.00 1 1.00 0.00 1.00
59-60 1.00 1 1.00 0.00 1.00
79–80* 1.00 2 1.00 0.00 1.00
79-80 1.00 1 1.00 0.00 1.00
99–100* 1.00 6 1.00 0.00 1.00
99-100 1.00 1 1.00 0.00 1.00
119-120 0.75 1 0.88 0.00 1.00
Fault-8
pH Sensor Drift
19–20* 0.83 52 0.85 0.13 0.93
19-20 0.83 49 0.85 0.12 0.93
39-40 0.98 4 0.99 0.00 1.00
59–60* 0.97 3 0.99 0.00 1.00
59-60 0.97 2 0.98 0.00 1.00
79–80* 0.98 32 0.99 0.00 1.00
79-80 0.98 9 0.99 0.00 1.00
99–100* 0.98 66 0.99 0.00 1.00
99-100 0.98 3 0.99 0.00 1.00
119–120* 0.99 70 1.00 0.00 1.00
119-120 0.99 1 0.99 0.00 1.00
Fault-15
Contamination
19–20* 0.57 204 0.58 0.41 0.61
19-20 0.57 201 0.58 0.41 0.61
39-40 0.94 58 0.96 0.02 0.99
59–60* 0.99 57 1.00 0.00 1.00
59-60 0.99 18 0.99 0.01 1.00
79–80* 0.99 72 1.00 0.00 1.00
79-80 0.99 42 0.99 0.00 1.00
99–100* 1.00 77 1.00 0.00 1.00
99-100 1.00 5 1.00 0.00 1.00
119–120* 1.00 145 1.00 0.00 1.00
119-120 1.00 8 1.00 0.00 1.00