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Figure 2 Effect of the number of components on the prior approximation.
This is caused by prior approximation error as the AS and S&M splitting does not converge to the prior.
Because we have a good fit to the median and upper percentile values, we maintain the fitted curve as a reasonable prior approximation for tap water concentrations.
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Nevertheless, by virtue of the normal prior distribution, normal approximation of the posterior function is useful.
A surface of the voxel-based volume of the segmented phase was produced by a triangular approximation prior to the calculation.
Using this discrete approximation, the prior probability is also approximated as a discrete sum pleft(mathbf{y}_{t}|mathbf{x}_{1 t-1}right) approx sum_{k=1}^{N_{y}}{w_{t|t-1}^{k}deltaleft(mathbf{y}_{t}-mathbf{y}_{t}^{k}right)}.
Note that whereas most prior work on sparse approximation focuses on static scenarios, the framework considered in this article addresses the problem of learning in dynamical systems.
The missing data points were extrapolated by linear approximation between prior and subsequent data values.
Gao et al. (2010a) proposed a neural network classifier based on prior evolution and iterative approximation for leaf recognition.
A case study on Fe XIII is discussed where two different priors, discrete uniform and Gaussian approximation via principal component analysis prior, are deployed.
We derive local sensitivity measures for a truncated variational Bayes (VB) approximation and approximate nonlinear dependence of a VB optimum on prior parameters using a local Taylor series approximation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com