3.5 Triangular decay function
Triangular decay functions describe a triangular function decay in weights over time. The decayed weight sequence is denoted Wci.
wcj=[-cos((j-1)*π/k’)/2+0.5]/s
s=sum(-cos((j-1)*π/k’)/2+0.5)
Where Wci represents the weight sequence of Rg[-(k’+1)]i+1, and wcj is the j-th element of Wci.
The alarm intensity wni is obtained by summing the element-wise products of the weight sequence Wci and the anomaly score sequence Rg[-(k’+1)]i+1.
wni=sum(Wci** Rg[-(k’+1)]i+1)
SPL routine:
| A | B | C | |
|---|---|---|---|
| 1 | [0.1,0.2,0,0,0.5,0.3] | /Anomaly score sequence | |
| 2 | 5 | /k’ | |
| 3 | =A1.(-cos((#-1)/A2*pi())/2+0.5) | ||
| 4 | =s=A3.sum(),A3.(~/s) | /Weight wcj | |
| 5 | =sum(A1**A4) | /Alarm intensity | |
Cell A3 represents the triangular decay process;
Cell A5 calculates the weights wcj.
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