Sentence examples for based on variational approaches from inspiring English sources

The main advantage of using the DP algorithm for optimizing the proposed snake-based energy function is its better radius of convergence compared to that typically obtained in the original solution based on variational approaches.

In [16] one studies a variant of the p-Laplacian equation with an approach based on variational methods, in [17] one studies the eigenvalues of the Dirichlet problem, and in [18] one finds some oscillation criteria for equations with the p-Laplacian.

Second, an unsupervised approach based on variational Bayesian Gaussian mixture modelling provided evidence for two clusters which mapped onto patients and controls with nearly the same accuracy (71%) as the supervised approach.

We found an alternative, better, way is to use a fully Bayesian approach based on variational inference that can optimize the trade-off between model complexity and goodness of fit at the same time (Attias, 2000; Bishop, 2006).

The approach is based on variational methods.

Supplementary Figure 2 Model comparison analysis based on variational free energy.

The proof is based on variational methods.

This work is mainly based on variational methods.

Our method is based on variational calculus which is carried out analytically to derive an augmented system of differential equations including the unconstrained components as ordinary state variables.

Regions of interest (ROIs) were derived from the MPRAGE image using in-house software based on variational expectation-maximization tissue classification.

Most of the existing approaches for inpainting are based on either variational approaches pioneered by Sapiro [36] or exploit image statistical and self-similarity priors as introduced by Efros [37].