39 citations · 296 across the 31 of their papers we have counts for
5 papers · 1 filter
Momentum-Space Renormalization Group Transformation in Bayesian Image Modeling by Gaussian Graphical Model
Kazuyuki Tanaka, Masamichi Nakamura, Shun Kataoka +2
A new Bayesian modeling method is proposed by combining the maximization of the marginal likelihood with a momentum-space renormalization group transformation for Gaussian graphica…
Linear-Time Algorithm in Bayesian Image Denoising based on Gaussian Markov Random Field
Muneki Yasuda, Junpei Watanabe, Shun Kataoka +1
In this paper, we consider Bayesian image denoising based on a Gaussian Markov random field (GMRF) model, for which we propose an new algorithm. Our method can solve Bayesian image…
Statistical Analysis of Loopy Belief Propagation in Random Fields
Muneki Yasuda, Shun Kataoka, Kazuyuki Tanaka
Loopy belief propagation (LBP), which is equivalent to the Bethe approximation in statistical mechanics, is a message-passing-type inference method that is widely used to analyze s…
Bayesian Reconstruction of Missing Observations
Shun Kataoka, Muneki Yasuda, Kazuyuki Tanaka
We focus on an interpolation method referred to Bayesian reconstruction in this paper. Whereas in standard interpolation methods missing data are interpolated deterministically, in…
Traffic data reconstruction based on Markov random field modeling
Shun Kataoka, Muneki Yasuda, Cyril Furtlehner +1
We consider the traffic data reconstruction problem. Suppose we have the traffic data of an entire city that are incomplete because some road data are unobserved. The problem is to…