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The distributions of the image derivatives often have heavier tails that are better modeled with the non-convex l p quasi norm prior with 0<p<1 compared to the convex priors modeled with p = 1,2.
Variable selection was performed using backward stepwise modeling with a p value for variable exclusion of 0.15.
30 31 We modelled centre volume as a categorical variable with seven classes since exploratory modelling with p-splines suggested non-linearity.
We consider nonparametric Bayesian regression model with p responses.
It is found that the proposed method leads to a 6.31% reduction of the borehole thermal resistance when compared to the conventional arithmetic mean temperature method (the p-linear average model with p = 1).
The calculated curves use an MOS model with p- and n-type material respectively.
Consider an IT2 TS fuzzy model with p rules in the following format [40].
On the other hand, the consistency of an atomistic theory is typically guaranteed by the trivial one-element model (with 'P' interpreted as identity), though one can also have models of atomistic theories that allow for infinite domains.
For the developed regression model with p predictors from total n predictors (p < n), the variable subsets with lower Mallows Cp values (not bigger than p) indicates preferable subset (Mallows 1995; Cohen et al. 2003; Thompson 1978; Mallows 1973).
Note that the formulation of the first-order Markov model can be considered as a special case of the second-order model with P i,j = P l,i,j for any l.
Using the BSP/CGM model, with (p) processors, where (p ll n), we present a parallel algorithm to compute the transitive closure of a digraph (D) with (n) vertices and (m) edges.
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