The scale parameter λ of the Laplace prior determines the amount of shrinkage introduced by the prior, and hence the sparseness of the model.
Although the priors determine the variance of the sources, their time courses also depend on the gain vectors at each location (and the data of course).
The tree model prior was determined by using a UPGMA tree to construct an initial tree, and the mean rate and covariance priors were set to uniform values.
Prior audits determined that such wash-offs could recover >95% of applied phosphorous acid solutions from foliage surfaces at dry-down.
In the case of multistate characters, we used an empirical prior for the bias parameter, while rate-parameter priors were determined as described for binary characters.
Second, although hyperparameters of the priors are determined from molecular structure databases, we do not train our method using these databases.
Cardiovascular co-morbidities including hypertension, diabetes, hyperlipidemia, prior myocardial infarction, prior congestive heart failure, prior stroke, smoking status, and prior revascularization were determined by self-report.
One option to investigate prior dependence is to vary the priors or determine the effect of a measurement on the assumed prior.
The magazine format will be ongoing although we are awaiting the response to issue one prior to determining the long term frequency of publication".
E. The board was required by state law to conduct an automatic recount prior to determining the necessity of a full manual recount.
(A mystical code, based on some intuitive algorithm of seniority and prior Cuplessness, determines the hand-off order; my understanding, or really my assumption, is that, due to superstition, it isn't discussed beforehand).
