Sentence examples for simple approximation of from inspiring English sources

Calculating the marginal likelihood involves the integration of the probability of the data over the entire parameter space Θ: (6) L M = p D ∣ M = ∫ θ i p D ∣ θ i, M p θ i ∣ M d θ i Several approaches have been described to approximate L M. One simple approximation of L M is obtained as the harmonic mean of the likelihood values sampled via MCMC [ 65, 66].

To our knowledge, the paper by Degond et al. [45] contains the first attempt to construct a simple approximation of (vert A_{ij}vert) by means of a polynomial that approximates (vert xvert) without interpolating it exactly on the eigenvalues.

The result is a simple approximation of the probability of failure without any limitation becoming feasible.

A simple approximation of ground effect is analyzed for two cases: (1) stationary point source and (2) moving line source (train).

The susceptibility to deformation localization of simple cubic arrangements of struts, which are a simple approximation of the micro-architecture in cancellous bone, is analyzed.

A simple approximation of the acute effects of tDCS posits that anodal currents lead to a large-scale net depolarization of pyramidal neurons' soma within a region, and cathodal currents to a net soma hyperpolarization27, thereby influencing neuronal firing rates27,28,29.

It is shown that the interface between the liquid and the solid walls cannot be correctly represented by the simple approximations of either infinitely soft, or infinitely hard boundaries.

Simple approximations of good accuracy are also provided for the normalized critical bracing eccentricity and buckling load, with which the hand-calculation method is only necessary in practical design.

Data-based models such as Feed-Forward Multilayer Perceptrons (MLP) and Classification and Regression Trees (CART) may be used as effective models, i.e. simple approximations of complex process-based models.

We consider these results, obtained at the equator, as the maximum values that can be reached when modelling with the simple approximations of a thick ring geometry and an ideal crust.

While NatureServe data are regarded as providing coarse estimates of the geographic ranges of species, their use in the present study is limited to providing simple approximations of how focal species are distributed with respect to seasonal temperature gradients.