Sentence examples for using the variational approximation from inspiring English sources

Finally, we may try to approximate this joint posterior by a simpler one, for example by a separable q f, θ) = q1(f) q2 using the variational approximation (VA).

Then we examine the expression of posterior laws, either the maximum A poseriori (MAP) estimator or the posterior means using the variational Bayes approximation (VBA) [14].

The proposed probabilistic model is efficiently inverted by using the Variational Bayes framework under a convenient mean-field approximation (VB-GLM).

To carry out this calculation, we first located current plateaus using the Variational Baysean Gaussian Mixture Model, VBGMM.

The variational approximation method was used to approximate p(Θ|P) by finding an approximate posterior distribution (q. In other words, when the Kullback-Leibler divergence between the two distributions attains a minimum, p(Θ|P) and q are approximately equal.

Finally, in the Bayesian framework, the CT restoration reconstruction of low-dose medical image is transformed into an optimization problem, and the variational approximation method is used to solve the problem.

The key idea of the variational approximation is to restrict the class of approximating distributions q.

The first term stands for the convergence rate of the true posterior distribution, and the second term is contributed by the variational approximation error.

The variational approximation [26] of the KL divergence is given as (14).

This provides a direct comparison to the variational approximation.

In our results (Fig. 1A), both the MCMC and the variational approximation for the hierarchical model are far superior to other methods tested.