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Finally, using a geological model as prior information in geostatistical inverse models results in the preservation of geological features, especially in areas where drawdown data are not available.
This is because our implementation of the OI method uses a physically-based climate model as prior background information about the spatial distribution of the climatic variables, which is critical for under-observed regions.
We also find that the geostatistical inversion approach using a geological model as prior information performs better for both model calibration and validation than using a homogenous K as a prior, and more importantly, improves the correspondence of K estimates to permeameter test results along wells, as well as in preserving geological features where drawdown measurements are lacking.
We use local sparsity model as prior to regularize this problem that has infinite many solutions which satisfy (37).
In the improved method, the low-frequency trend model as prior knowledge stabilized the inversion and improved the lateral continuity because the low-frequency trend model is continuous in the space axis.
The analysis was repeated using the Yule speciation model as prior to check for the effects of the assumed model in the estimate.
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The relationships between the variables and discard rates are initially delineated by stakeholders through surveys, and included to the model as priors.
The third necessary element, the ANOVA-type multi-way analysis, is supplemented by assigning the effect terms describing the linear ANOVA model as priors on the latent variables z.
The model was searched so as to minimize model roughness relative to the prior model as well as data misfit, where the root mean square (RMS) is not less than the target RMS value (1.0 in this study).
In prediction risk modelling, AFP only allowed for a small increase in DR when added to the prior risk model, as well as to the model based on prior risk, PAPP-A and f β-hCG.
Thus, we used a proper smoothness prior model as the prior distribution π(x) and draw r = 200 samples x h from it.
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