Sentence examples for by a multivariate Gaussian from inspiring English sources

Each class is described by a multivariate Gaussian distribution with an n-dimensional mean vector (the equivalent of class centres) and a variance-covariance structure (a measure of within class spread).

where Λ(r;τ,h) is the likelihood function of the received samples parameterized by the unknowns τ and h, which is defined by a multivariate Gaussian distribution, Λ r ; τ, h = C 0 exp − 1 σ w 2 r − A τ h 2, (21).

To better exploit the probability density function (pdf) of the source, Chatterjee and Sreenivas [14] developed a switched conditional pdf-based SVQ where the vector space is partitioned into non-overlapping Voronoi regions, and the source pdf of each switching Voronoi region is modeled by a multivariate Gaussian.

Additionally, in order to circumvent the noise typically associated with microarray data, the gene expressions were approximated by a multivariate Gaussian distribution and the regression weights were estimated by minimizing the regression error that was averaged over the Gaussian distribution.

The assumption that a phenotype class is best modelled by a multivariate Gaussian is often violated.

Fisher design, for example, assumes that the posterior distribution can be approximated by a multivariate Gaussian about its maximum.

To include the information from remaining data-deficient primer sets, for which the fraction of missing data was low and never above 0.35, the EM-algorithm [ 19] was used to substitute missing values with imputed ones, by applying a multivariate Gaussian model.

Stability of the estimator is, for example, achieved by setting h(θ | M) to a multivariate Gaussian fitted to the sampled points θ s, or to a multivariate t-distribution as used here.

In the second step we conducted a rejection sampling with a multivariate Gaussian proposal distribution by accepting the sampled parameter sets if all stability constraints from the first step were fulfilled.

More specifically, model A is a multivariate Gaussian model for which, by definition, extreme values (both high and low) are spatially uncorrelated.

More elaborate schemes are found in papers such as that by Oashi et al. [63] that describe a multivariate Gaussian probability distribution to ascertain bioavailability and drug likeness of small molecule compounds.