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Kiran Samudrala edited Uncertainty.tex
almost 10 years ago
Commit id: 9ebbfce5e247e8478590c944bade6f66a2640f5f
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A model may provide the confidence of each data point extracted within the volume. Using the same basis function that partitions the spatial domain, the digitized weight of uncertainty for each partition is derived from
\begin{equation}
w^{i}(x) = \sum_{H} w_{s}^{i} \, \chi_{s}(x) \, \chi^{i}(w^{i}(x))
\end{equation}
where $w^{i}(x)$ is a weight associated with the confidence of the $i^{th}$ mode of the local material state sampled described by the weight basis \chi^{i}(w^{i}(x)) at $x$ provided by the model. $w_{s}^{i}$ is the spatially resolved weighting signal. The confidence of the sampled information is incorporated into the microstructure function as