Search Results for author: Shun Kataoka

Found 10 papers, 1 papers with code

Momentum-Space Renormalization Group Transformation in Bayesian Image Modeling by Gaussian Graphical Model

no code implementations20 Mar 2018 Kazuyuki Tanaka, Masamichi Nakamura, Shun Kataoka, Masayuki Ohzeki, Muneki Yasuda

A new Bayesian modeling method is proposed by combining the maximization of the marginal likelihood with a momentum-space renormalization group transformation for Gaussian graphical models.

Linear-Time Algorithm in Bayesian Image Denoising based on Gaussian Markov Random Field

1 code implementation20 Oct 2017 Muneki Yasuda, Junpei Watanabe, Shun Kataoka, Kazuyuki Tanaka

In this paper, we consider Bayesian image denoising based on a Gaussian Markov random field (GMRF) model, for which we propose an new algorithm.

Image Denoising

Solving Non-parametric Inverse Problem in Continuous Markov Random Field using Loopy Belief Propagation

no code implementations28 Mar 2017 Muneki Yasuda, Shun Kataoka

The exact treatment of maximum likelihood estimation is intractable because of two problems: (1) it includes the evaluation of the partition function and (2) it is formulated in the form of functional optimization.

Community Detection Algorithm Combining Stochastic Block Model and Attribute Data Clustering

no code implementations21 Jul 2016 Shun Kataoka, Takuto Kobayashi, Muneki Yasuda, Kazuyuki Tanaka

We propose a new algorithm to detect the community structure in a network that utilizes both the network structure and vertex attribute data.

Attribute Clustering +2

Statistical Analysis of Loopy Belief Propagation in Random Fields

no code implementations16 Mar 2015 Muneki Yasuda, Shun Kataoka, Kazuyuki Tanaka

In the latter part of this paper, we describe the application of the proposed method to Bayesian image restoration, in which we observed that our theoretical results are in good agreement with the numerical results for natural images.

Image Restoration

Inverse Renormalization Group Transformation in Bayesian Image Segmentations

no code implementations5 Jan 2015 Kazuyuki Tanaka, Shun Kataoka, Muneki Yasuda, Masayuki Ohzeki

A new Bayesian image segmentation algorithm is proposed by combining a loopy belief propagation with an inverse real space renormalization group transformation to reduce the computational time.

Image Segmentation Segmentation +1

Composite Likelihood Estimation for Restricted Boltzmann machines

no code implementations24 Jun 2014 Muneki Yasuda, Shun Kataoka, Yuji Waizumi, Kazuyuki Tanaka

Learning the parameters of graphical models using the maximum likelihood estimation is generally hard which requires an approximation.

Bayesian Reconstruction of Missing Observations

no code implementations23 Apr 2014 Shun Kataoka, Muneki Yasuda, Kazuyuki Tanaka

We focus on an interpolation method referred to Bayesian reconstruction in this paper.

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