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Task-3-UQMetric

The UQ metrics are categorized in three parts: temporal uncertainty, spatial uncertainty, and multiple data sources uncertainty.

  • For temporal uncertainty, we consider moving-window based metrics instead of point to point metrics. These metrics reflect the informativeness of the given data.
  • For spatial uncertainty, we quantify the uncertainty from wind farm turbine layout. The uncertainty among turbines is converted to a function between uncertainty and distance.
  • For uncertainty among multiple data sources, we quantify how the uncertainty spreads among multiple data sources.

UQ metric is summarized as follows:

Type of Metric Metric Description
Temporal Uncertainty Moving-window Entropy Quantify the uncertainty based on information in the given moving window
Standard Deviation Measure the amount of variation among the given moving window
Turbulence Intensity Measure the intensity of wind velocity fluctuation in the given moving window
Variability Index Measure the standardized maximum difference in the given moving window
Spatial Uncertainty Spatial Nugget Quantify small-scale spatial variations within the fields
Sill Measure the magnitude of variation
Range The distance beyong which observations are no longer spatially correlated
Data Source Uncertainty Moving-window Correlation Linear correlation between multiple data sources and the actual
MAPE The average deviation between multiple data sources and the actual
Distribution Spread Index The maximum difference between multiple data sources and the actual
Predictability Index Identify multiple data sources with above or below average uncertainty

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