Probability Propagation in Generalized Inference Forms

Generalized belief propagation for approximate inference in hybrid Bayesian networks

Expectation Propagation for Approximate Inference: Free Probability Framework

We study asymptotic properties of expectation propagation (EP) a method for approximate inference originally developed in the field of machine learning. Applied to generalized linear models, EP iteratively computes a multivariate Gaussian approximation to the exact posterior distribution. The computational complexity of the repeated update of covariance matrices severely limits the application ...

Linear Response Formula and Generalized Belief Propagation for Probabilistic Inference

In probabilistic inference for signal processing, medical diagnosis, code theory, digital communication, machine learning and so on, belief propagation (BP) is one of powerful approximate methods to calculate a belief for each node within a practical computational time[1]. Recently, it has been pointed out that the BP has some mathematical structures in common with advanced mean-field (MF) meth...

Applications of quadratic D-forms to generalized quadratic forms

In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms.

Wave Propagation in Mixture of Generalized Thermoelastic Solids Half-Space

This paper concentrates on the reflection of plane waves in the mixture of generalized thermo elastic solid half-space. There exists quasi dilatational waves i.e. qP1, qP2, qT and two rotational waves S1, S2 in a two dimensional model of the solid. The boundary conditions are solved to obtain a system of five non-homogeneous equations for amplitude ratios. These amplitude ratios are found to de...