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A Fast and Exact Simulation Algorithm for General Gaussian Markov Random Fields

by Håvard Rue, C Flops , 1999
"... This paper presents a fast and exact simulation algorithm for a general Gaussian Markov Random Field (GMRF) defined on a n r \Theta n c lattice, n r n c . For a 5 \Theta 5 neighborhood, the algorithm has initialization cost of 4n r n ..."
Abstract - Cited by 7 (3 self) - Add to MetaCart
This paper presents a fast and exact simulation algorithm for a general Gaussian Markov Random Field (GMRF) defined on a n r \Theta n c lattice, n r n c . For a 5 \Theta 5 neighborhood, the algorithm has initialization cost of 4n r n

A Fast and Exact Simulation Algorithm for General Gaussian Markov Random Fields

by Statistics No, Håvard Rue, H Avard Rue , 1999
"... This report has URL http://www.math.ntnu.no/preprint/statistics/1999/S8-1999.ps ..."
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This report has URL http://www.math.ntnu.no/preprint/statistics/1999/S8-1999.ps

GENERALIZED GAUSSIAN MARKOV RANDOM FIELD IMAGE RESTORATION USING VARIATIONAL DISTRIBUTION APPROXIMATION

by S. Derin Babacan, Rafael Molina, Aggelos K. Katsaggelos
"... In this paper we propose novel algorithms for image restoration and parameter estimation with a Generalized Gaussian Markov Random Field prior utilizing variational distribution approximations. The restored image and the unknown hyperparameters for both the image prior and the image degradation nois ..."
Abstract - Cited by 2 (2 self) - Add to MetaCart
In this paper we propose novel algorithms for image restoration and parameter estimation with a Generalized Gaussian Markov Random Field prior utilizing variational distribution approximations. The restored image and the unknown hyperparameters for both the image prior and the image degradation

Shape parameter estimation for generalized Gaussian Markov random field models used in MAP image restoration

by Wai Ho Pun, Brian D. Jeffs, Abstra Et - In 29th Asilomar Conference on Signals, Systems, and Computers, October 29 , 1995
"... In this paper, we propose using the Generalized ..."
Abstract - Cited by 5 (1 self) - Add to MetaCart
In this paper, we propose using the Generalized

A Divide And Conquer Algorithm For Exact Simulation Of General Gaussian Markov Random Field

by Egil G. Husby, Havard Rue, H Avard Rue, Arne Marthinsen, Arne Marthinsen, Egil, G. Husby , 1999
"... This report has URL ..."
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This report has URL

A generalized Gaussian image model for edge-preserving MAP estimation

by Charles Bouman, Ken Sauer - IEEE Trans. on Image Processing , 1993
"... Absfrucf- We present a Markov random field model which allows realistic edge modeling while providing stable maximum a posteriori MAP solutions. The proposed model, which we refer to as a generalized Gaussian Markov random field (GGMRF), is named for its similarity to the generalized Gaussian distri ..."
Abstract - Cited by 301 (37 self) - Add to MetaCart
Absfrucf- We present a Markov random field model which allows realistic edge modeling while providing stable maximum a posteriori MAP solutions. The proposed model, which we refer to as a generalized Gaussian Markov random field (GGMRF), is named for its similarity to the generalized Gaussian

Markov Random Field Models in Computer Vision

by S. Z. Li , 1994
"... . A variety of computer vision problems can be optimally posed as Bayesian labeling in which the solution of a problem is defined as the maximum a posteriori (MAP) probability estimate of the true labeling. The posterior probability is usually derived from a prior model and a likelihood model. The l ..."
Abstract - Cited by 516 (18 self) - Add to MetaCart
. The latter relates to how data is observed and is problem domain dependent. The former depends on how various prior constraints are expressed. Markov Random Field Models (MRF) theory is a tool to encode contextual constraints into the prior probability. This paper presents a unified approach for MRF modeling

Segmentation of brain MR images through a hidden Markov random field model and the expectation-maximization algorithm

by Yongyue Zhang, Michael Brady, Stephen Smith - IEEE TRANSACTIONS ON MEDICAL. IMAGING , 2001
"... The finite mixture (FM) model is the most commonly used model for statistical segmentation of brain magnetic resonance (MR) images because of its simple mathematical form and the piecewise constant nature of ideal brain MR images. However, being a histogram-based model, the FM has an intrinsic limi ..."
Abstract - Cited by 639 (15 self) - Add to MetaCart
-based methods produce unreliable results. In this paper, we propose a novel hidden Markov random field (HMRF) model, which is a stochastic process generated by a MRF whose state sequence cannot be observed directly but which can be indirectly estimated through observations. Mathematically, it can be shown

Semi-Supervised Learning Using Gaussian Fields and Harmonic Functions

by Xiaojin Zhu , Zoubin Ghahramani, John Lafferty - IN ICML , 2003
"... An approach to semi-supervised learning is proposed that is based on a Gaussian random field model. Labeled and unlabeled data are represented as vertices in a weighted graph, with edge weights encoding the similarity between instances. The learning ..."
Abstract - Cited by 752 (14 self) - Add to MetaCart
An approach to semi-supervised learning is proposed that is based on a Gaussian random field model. Labeled and unlabeled data are represented as vertices in a weighted graph, with edge weights encoding the similarity between instances. The learning

Conditional random fields: Probabilistic models for segmenting and labeling sequence data

by John Lafferty , 2001
"... We present conditional random fields, a framework for building probabilistic models to segment and label sequence data. Conditional random fields offer several advantages over hidden Markov models and stochastic grammars for such tasks, including the ability to relax strong independence assumptions ..."
Abstract - Cited by 3485 (85 self) - Add to MetaCart
We present conditional random fields, a framework for building probabilistic models to segment and label sequence data. Conditional random fields offer several advantages over hidden Markov models and stochastic grammars for such tasks, including the ability to relax strong independence assumptions
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