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Testing invariance for random field modeling

2004
The application of the collocation theory to the prediction of some random field functional depends on the knowledge of the covariance function. Whether we include the estimation of the covariance into a unique theoretical set up with the prediction of the signal, or we do it separately in a more traditional way, this step can be performed only under ...
REGUZZONI, MIRKO, VENUTI, GIOVANNA
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The Infinite Hidden Markov Random Field Model

IEEE Transactions on Neural Networks, 2009
Hidden Markov random field (HMRF) models are widely used for image segmentation, as they appear naturally in problems where a spatially constrained clustering scheme is asked for. A major limitation of HMRF models concerns the automatic selection of the proper number of their states, i.e., the number of region clusters derived by the image segmentation
Tsechpenakis, Gabriel   +1 more
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Modeling Stereopsis via Markov Random Field

Neural Computation, 2010
Markov random field (MRF) and belief propagation have given birth to stereo vision algorithms with top performance. This article explores their biological plausibility. First, an MRF model guided by physiological and psychophysical facts was designed. Typically an MRF-based stereo vision algorithm employs a likelihood function that reflects the local ...
Yansheng Ming, Zhanyi Hu
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Random field Ising model in a random graph

Physica A: Statistical Mechanics and its Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Doria, F. F.   +4 more
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Model Building for Random Fields

2001
Random fields are used to model spatial data in many application areas. Typical examples are image analysis and agricultural field trials. We focus on the relatively neglected area of model building and draw together its widely dispersed literature, which reflects the aspirations of a wide range of application areas.
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Potts model in an asymmetric random field

Physical Review B, 1994
An exact analysis of a three-state Potts model with infinite-range interactions in the presence of an asymmetric random field is carried out. Complete phase diagrams at zero temperature are obtained. By finding lines of critical points and lines of tricritical points, the asymmetrical random field is shown to have strong effects on phase transitions ...
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A Markov Random Field model of microarray gridding

Proceedings of the 2003 ACM symposium on Applied computing - SAC '03, 2003
DNA microarray hybridisation is a popular high through-put technique in academic as well as industrial functional genomics research. In this paper we present a new approach to automatic grid segmentation of the raw fluorescence microarray images by Markov Random Field (MRF) techniques.
Katzer, Mathias   +2 more
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Markov Random Field Models

2004
For decades, Markov random fields (MRF) have been used by statistical physicists to explain various phenomena occurring among neighboring particles because of their ability to describe local interactions between them. In Winkler (1995) and Bremaud (1999), an MRF model is used to explain why neighboring particles are more likely to rotate in the same ...
Ting Chen, Dimitris Metaxas
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Developments in random field modeling

Nuclear Engineering and Design, 1982
Abstract The paper gives a brief account of a new approach to the representation and analysis of homogeneous random fields. Attention is drawn to the problem of the excessive sensitivity (to the choice of correlation model) of the mean square derivatives upon which level excursion and extreme value statistics depend.
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Dynamic random field models

1995
Spatial equations in which the variables are real continuous variables are known as field equations. It turns out that continuous field models possess definite mathematical advantages (in terms of tractability in particular). This may explain why, in spite of the fact that statistical records are of discrete form, such models have been used for some ...
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