Sentence examples for prior where from inspiring English sources
The present research suggests a default constraint, or prior, where interior structures extend orthogonally to exterior surfaces (unless there is contradictory evidence).
Furthermore, the expected information gain can be approximated by an integration over the prior, where the integrand is a function of the posterior covariance matrix projected over the aforementioned orthogonal directions.
But, notes Gutsol, the company has a long history of understanding photo quality, having grown its service from LiveJournal community some eight years prior, where moderators painstakingly reviewed each photo.
For the Agent based on the reduced Prior where (k=0.7), the lower prior likelihood of compounds similar to Celecoxib translates to a lower augmented likelihood, which lowers the average similarity of the structures generated by the Agent.
For the Agent based on the reduced Prior where (k=1), the fact that Celecoxib and demethylated Celecoxib are given similar augmented likelihoods means that the average similarity converges to around 0.9 rather than 1.0.
Under the MAP frameworks, the original image is inferred by solving a minimization problem with the form (5). We assume that follows a Gibbs prior:, where is a normalizing constant, and a nonnegative given function.
The advantage of Fisher's approach (which is by no means perfect) is that to some degree it sidesteps the problem of estimating priors where no sufficient advance information exists.
β is the weight of the priors, and γ controls the edge preservation of the RD-prior (where γ=0 corresponds to no perservation of edges).
The latter is achieved by a log-normal hyper-prior, where α i = ln(λ i ) ⇔ λ i = exp(α i ) and p = N [Henson et al., 2007].
In the stage 2 analysis, K random draws are taken from a constrained hyper-prior where Z is fixed to be the mode of its posterior distribution obtained in stage 1.
So mathematically informed priors are complemented with biological priors where available.
