Co-clustering has emerged as an important technique for mining contingency data matrices. However, almost all existing coclustering algorithms are hard partitioning, assigning each row and column of the data matrix to one cluster. Recently a Bayesian co-clustering approach has been proposed which allows a probability distribution membership in row and column clusters. The approach uses variatio...

We introduce variational Bayes methods for fast approximate inference in functional regression analysis. Both the standard cross-sectional and the increasingly common longitudinal settings are treated. The methodology allows Bayesian functional regression analyses to be conducted without the computational overhead of Monte Carlo methods. Confidence intervals of the model parameters are obtained...

We present a nonparametric Bayesian hierarchical (NBH) model and develop variational approximation (VA) algorithm for the curve fitting of functional radiation response data. The NBH is based on (BH) with Gaussian-Inverse Wishart process (G-IWP) prior, which simultaneously smooths multiple observations estimates mean-covariance functions. use automatic differentiation inference (ADVI) Gaussian ...

The variational approach to Bayesian inference enables simultaneous estimation of model parameters and model complexity. An interesting feature of this approach is that it appears also to lead to an automatic choice of model complexity. Empirical results from the analysis of hidden Markov models with Gaussian observation densities illustrate this. If the variational algorithm is initialised wit...

We present an approach to parallel variational optical flow computation by using an arbitrary partition of the image plane and iteratively solving related local variational problems associated with each subdomain. The approach is particularly suited for implementations on PCclusters because inter-process communication is minimized by restricting the exchange of data to a lower-dimensional inter...

Researchers are currently interested in studying the dynamics of wave field a nonlinear and dispersive medium. The Nonlinear Schrödinger Equation (NLSE), which is fundamental equation that explains phenomenon, has paved way for research variety fields, including soliton scattering. However, if fields have large number components, Coupled NLSE should be considered. We used orthogonally polarised...

OBJECTIVE Drawbacks of the far-lateral approach to the lower clivus and pontomedullary region include the morbidity of a large incision extending into the cervical musculature and tedious exposure of the vertebral artery (VA), particularly when performing the transcondylar and transtubercular extensions. The authors describe a minimally invasive alternative to the far-lateral approach that has ...

In recent years, sequential optimality conditions are frequently used for convergence of iterative methods to solve nonlinear constrained optimization problems. The sequential optimality conditions do not require any of the constraint qualications. In this paper, We present the necessary sequential complementary approximate Karush Kuhn Tucker (CAKKT) condition for a point to be a solution of a ...