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Note that assuming a Gaussian posterior over the parameters does not necessarily mean that the posterior predictive distribution over the data is Gaussian (see Figure 1).
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The box-whisker plot [ 70] of expression levels represented the range of log2 ratios and a normal distribution over all the data range obtained in different cold treatments (data not shown).
The varying time of temporal series is a place where from then on, another statistical distribution prevails over the data (Ha and Ha, 2006).
Figure 4 We sample from the exemplar databases to produce a distribution over the training data given some input descriptor.
The regularization coefficient was annealed downward from a large starting point, and the value that minimized the χ2 statistic of the model distribution over the control data set was determined.
When the distribution describing the data changes over time, it is important to detect these changes so that correct inferences can be drawn from the data.
For the majority of the 86 species, the significance of the model validation is biased by the highly non-uniform distribution of the data points over the input and output space, due to the fact that sites of high ecological quality are largely outnumbered by sites at deteriorated conditions.
Since we do not know a priori which probe sets are in which patterns, the marginal distribution of the data is a mixture over the possible patterns with model parameters determined by the full set of array data.
A closer look at the data obtained for the variable markers showed that the binary nature of the data distribution over the strain population was evident.
Thus, the configuration of the thresholds determine the data distribution over the different rootcauses.
After this, the data distribution over the classes is analyzed for different values of th 1.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com