Compilation Of Industrial Mathematics Algorithms

 

Chapter 1: Anomaly Detection in Time Series

1.1 Time series and anomaly detection
1.2 Box plot method
1.3 Normal statistical method
1.4 Distance method
1.5 Extreme values
1.6 Percentage threshold adjustment
1.7 Channel threshold adjustment

Chapter 2: Derived Time Series

2.1 Detecting anomalies with derived time series
2.2 Rate of change
2.3 Dispersion
2.4 Main line
2.5 Fluctuation amplitude
2.6 Fluctuation frequency

Chapter 3: Alarm Intensity for Anomaly Detection

3.1 Anomaly detection and alarm intensity
3.2 Linear decay function
3.3 Exponential decay function
3.4 Logarithmic decay function
3.5 Triangular decay function
3.6 Characteristics of decay functions
3.7 Composite alarm intensity

Chapter 4: Anomaly Detection in Multidimensional Time Series

4.1 Multidimensional time series and anomaly detection
4.2 Multidimensional combination
4.3 Multidimensional derivation
4.4 Multidimensional aggregation
4.5 Spatial dispersion

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