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Random fields and inverse problems in imaging

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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On the choice of regularisation parameter in image restoration
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Deblurring Gaussian blur
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Denumerable Markov Chains
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Introduction to Random Fields
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Proceedings of the International Congress of Mathematicians
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Pattern Recognition Theory and Applications
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Learning the Parameters of a Hidden Markov Random Field Image Model: A Simple Example
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Monte Carlo Methods
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A Maximum Entropy Method for Expert System Construction
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Stochastic Relaxation Methods for Image Restoration and Expert Systems
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Simulated Annealing: Theory and Applications
inferredcites →https://doi.org/10.1007/bf00940812openalex-snapshot
Thermodynamical approach to the traveling salesman problem: An efficient simulation algorithm
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Nonstationary Markov chains and convergence of the annealing algorithm
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Gibbs and Markov random systems with constraints
inferredcites →https://doi.org/10.1007/bf01224127openalex-snapshot
Simulated annealing via Sobolev inequalities
inferredcites →https://doi.org/10.1007/bf02980577openalex-snapshot
Beitrag zur Theorie des Ferromagnetismus
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Digital Image Restoration
inferredcites →https://doi.org/10.1016/0031-3203(81)90005-4openalex-snapshot
Contextual classification of multispectral image data
inferredcites →https://doi.org/10.1016/0031-3203(89)90011-3openalex-snapshot
An iterative Gibbsian technique for reconstruction of m-ary images
inferredcites →https://doi.org/10.1016/0146-664x(80)90019-2openalex-snapshot
The use of Markov Random Fields as models of texture
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Image restoration using an estimated Markov model
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The least-disturbance principle and weak constraints
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A parallel approach to the picture restoration algorithm of Geman and Geman on an SIMD machine
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Stochastic model for boundary detection
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On the convergence rate of annealing processes
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Parameter estimation for two-dimensional ising fields corrupted by noise
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Simulated annealing: theory and applications.
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Sequential synthesis of natural textures
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Segmentation of textured images using Gibbs random fields
inferredcites →https://doi.org/10.1016/0734-189x(87)90056-9openalex-snapshot
A parallel image segmentation algorithm using relaxation with varying neighborhoods and its mapping to array processors
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Deblurring Gaussian blur
inferredcites →https://doi.org/10.1017/cbo9780511624131openalex-snapshot
Statistical Inference for Spatial Processes
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Convergence and finite-time behavior of simulated annealing
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Asymptotic inference for an Ising lattice III. Non-zero field and ferromagnetic states
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Digital image processing
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Computational vision and regularization theory
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Equation of State Calculations by Fast Computing Machines
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Computation of Order Parameters in an Ising Lattice by the Monte Carlo Method
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Time-Dependent Statistics of the Ising Model
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Discussion of Invited Papers
inferredcites →https://doi.org/10.1080/01621459.1987.10478393openalex-snapshot
Probabilistic Solution of Ill-Posed Problems in Computational Vision
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Inference for Discrete Markov Fields: The Simplest Nontrivial Case
inferredcites →https://doi.org/10.1090/conm/001openalex-snapshot
Markov Random Fields and Their Applications
inferredcites →https://doi.org/10.1093/biomet/57.1.97openalex-snapshot
Monte Carlo sampling methods using Markov chains and their applications
inferredcites →https://doi.org/10.1093/biomet/62.3.555openalex-snapshot
On the Estimation and Testing of Spatial Interaction in Gaussian Lattice Processes
inferredcites →https://doi.org/10.1093/biomet/64.3.616openalex-snapshot
Efficiency of Pseudolikelihood Estimation for Simple Gaussian Fields
inferredcites →https://doi.org/10.1109/18.50377openalex-snapshot
Simulated annealing in compound Gaussian random fields (image processing)
inferredcites →https://doi.org/10.1109/34.16712openalex-snapshot
A renormalization group approach to image processing problems
inferredcites →https://doi.org/10.1109/34.31443openalex-snapshot
Simultaneous parameter estimation and segmentation of Gibbs random fields using simulated annealing
inferredcites →https://doi.org/10.1109/34.56204openalex-snapshot
Boundary detection by constrained optimization
inferredcites →https://doi.org/10.1109/42.52985openalex-snapshot
Bayesian reconstructions from emission tomography data using a modified EM algorithm
inferredcites →https://doi.org/10.1109/78.80887openalex-snapshot
Compound Gauss-Markov random fields for image estimation
inferredcites →https://doi.org/10.1109/cdc.1985.268599openalex-snapshot
A tutorial survey of theory and applications of simulated annealing
inferredcites →https://doi.org/10.1109/icassp.1985.1168296openalex-snapshot
A new approach to parameter estimation for Gibbs random fields
inferredcites →https://doi.org/10.1109/icassp.1987.1169616openalex-snapshot
Semi-Markov random field models for image segmentation
inferredcites →https://doi.org/10.1109/icassp.1988.196793openalex-snapshot
Stochastic and deterministic algorithms for MAP texture segmentation
inferredcites →https://doi.org/10.1109/proc.1972.8787openalex-snapshot
Two-dimensional Bayesian estimate of images
inferredcites →https://doi.org/10.1109/tassp.1978.1163057openalex-snapshot
Digital image restoration
inferredcites →https://doi.org/10.1109/tassp.1980.1163348openalex-snapshot
The relationship between image restoration by the maximum a posteriori method and a maximum entropy method
inferredcites →https://doi.org/10.1109/tc.1973.5009169openalex-snapshot
The Application of Constrained Least Squares Estimation to Image Restoration by Digital Computer
inferredcites →https://doi.org/10.1109/tc.1977.1674810openalex-snapshot
Bayesian Methods in Nonlinear Digital Image Restoration
inferredcites →https://doi.org/10.1109/tmi.1982.4307558openalex-snapshot
Maximum Likelihood Reconstruction for Emission Tomography
inferredcites →https://doi.org/10.1109/tpami.1983.4767341openalex-snapshot
Markov Random Field Texture Models
inferredcites →https://doi.org/10.1109/tpami.1984.4767595openalex-snapshot
Bayes Smoothing Algorithms for Segmentation of Binary Images Modeled by Markov Random Fields
inferredcites →https://doi.org/10.1109/tpami.1984.4767596openalex-snapshot
Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
inferredcites →https://doi.org/10.1109/tpami.1986.4767807openalex-snapshot
Regularization of Inverse Visual Problems Involving Discontinuities
inferredcites →https://doi.org/10.1109/tpami.1986.4767851openalex-snapshot
A Computational Approach to Edge Detection
inferredcites →https://doi.org/10.1109/tpami.1987.4767871openalex-snapshot
Modeling and Segmentation of Noisy and Textured Images Using Gibbs Random Fields
inferredcites →https://doi.org/10.1109/tpami.1987.4767895openalex-snapshot
Simple Parallel Hierarchical and Relaxation Algorithms for Segmenting Noncausal Markovian Random Fields
inferredcites →https://doi.org/10.1109/tpami.1987.4767896openalex-snapshot
Scene Segmentation from Visual Motion Using Global Optimization
inferredcites →https://doi.org/10.1109/tpami.1987.4767898openalex-snapshot
Image Estimation Using Doubly Stochastic Gaussian Random Field Models
inferredcites →https://doi.org/10.1111/j.2517-6161.1974.tb00999.xopenalex-snapshot
Spatial Interaction and the Statistical Analysis of Lattice Systems
inferredcites →https://doi.org/10.1111/j.2517-6161.1977.tb01615.xopenalex-snapshot
Modelling Spatial Patterns
inferredcites →https://doi.org/10.1111/j.2517-6161.1986.tb01412.xopenalex-snapshot
On the Statistical Analysis of Dirty Pictures
inferredcites →https://doi.org/10.1111/j.2517-6161.1989.tb01764.xopenalex-snapshot
Exact Maximum A Posteriori Estimation for Binary Images
inferredcites →https://doi.org/10.1117/12.940284openalex-snapshot
Semi-Markov Random Field Models For Texture Synthesis
inferredcites →https://doi.org/10.1126/science.220.4598.671openalex-snapshot
Optimization by Simulated Annealing
inferredcites →https://doi.org/10.1137/0324060openalex-snapshot
Diffusions for Global Optimization
inferredcites →https://doi.org/10.1137/0325042openalex-snapshot
Diffusion for Global Optimization in $\mathbb{R}^n $
inferredcites →https://doi.org/10.1137/0326084openalex-snapshot
On the Convergence Rate of Annealing Processes
inferredcites →https://doi.org/10.1137/s0363012989166538openalex-snapshot
The Asymptotic Behavior of Simulated Annealing Processes with Absorption
inferredcites →https://doi.org/10.1214/aoap/1177005510openalex-snapshot
A Variational Method for Estimating the Parameters of MRF from Complete or Incomplete Data
inferredcites →https://doi.org/10.1214/aop/1176991169openalex-snapshot
A Limit Theorem for a Class of Inhomogeneous Markov Processes
inferredcites →https://doi.org/10.1214/aop/1176993067openalex-snapshot
Rapid Convergence to Equilibrium in One Dimensional Stochastic Ising Models
inferredcites →https://doi.org/10.1214/aos/1176348111openalex-snapshot
Asymptotics of Maximum Likelihood Estimators for the Curie-Weiss Model
inferredcites →https://doi.org/10.1214/aos/1176348532openalex-snapshot
On Consistency of a Class of Estimators for Exponential Families of Markov Random Fields on the Lattice
inferredcites →https://doi.org/10.1214/lnms/1215460493openalex-snapshot
On the choice of the regularization parameter: the case of binary images in the Bayesian restoration framework
inferredcites →https://doi.org/10.1287/moor.14.1.70openalex-snapshot
Markov Chains with Rare Transitions and Simulated Annealing
inferredcites →https://doi.org/10.1287/opre.18.6.1225openalex-snapshot
Letter to the Editor—A Monte Carlo Method for the Approximate Solution of Certain Types of Constrained Optimization Problems
inferredcites →https://doi.org/10.1364/ao.17.003384openalex-snapshot
Comparison of image restoration methods
inferredcites →https://doi.org/10.1364/josa.62.000055openalex-snapshot
Bayesian-Based Iterative Method of Image Restoration*
inferredcites →https://doi.org/10.1364/josa.62.000511openalex-snapshot
Restoring with Maximum Likelihood and Maximum Entropy*
inferredcites →https://doi.org/10.21236/ada161598openalex-snapshot
Markov Chains with Rare Transitions and Simulated Annealing.
inferredcites →https://doi.org/10.2307/1403013openalex-snapshot
Markov Chains: Theory and Applications
inferredcites →https://doi.org/10.2307/1427186openalex-snapshot
Convergence and finite-time behavior of simulated annealing
inferredcites →https://doi.org/10.2307/1574313openalex-snapshot
Digital Image Processing
inferredcites →https://doi.org/10.2307/3008804openalex-snapshot
Markov Chains -- Theory and Applications
inferredcites →https://doi.org/10.2307/3314656openalex-snapshot
Statistics, images, and pattern recognition

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Geometrical tools in classification
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Semiparametric nonhomogeneity analysis
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Stochastic annealing for nearest-neighbour point processes with application to object recognition
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ON THE CONVERGENCE OF METROPOLIS-TYPE RELAXATION AND ANNEALING WITH CONSTRAINTS
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Reconstruction of Gray-Scale Images
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Multiscale advanced raster map analysis system: Definition, design and development
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Regularizing Flows for Constrained Matrix-Valued Images
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Informative Priors for the Bayesian Classification of Satellite Images
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New Loss Functions in Bayesian Imaging
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Markov models and Bayesian methods in image analysis
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Stochastic geometry models in high-level vision
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A review of image-warping methods
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Bayesian Image Classification with Baddeley's Delta Loss
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Comparing the performance of a reversible jump Markov chain Monte Carlo algorithm for DNA sequences alignment
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Applications of random walks on graphs to gibbs samplers
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On the convergence of markovian stochastic algorithms with rapidly decreasing ergodicity rates
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Statistical methods for noisy images with discontinuities
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Finding spiral structures in images of galaxies
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Global and local priors, and the location of lesions using gamma-camera imagery
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Large deviations for coding Markov chains and Gibbs random fields
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Stationary Markov random fields on a finite rectangular lattice
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Simulated annealing: a proof of convergence
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On the hierarchical Bayesian approach to image restoration: applications to astronomical images
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Synchronous random fields and image restoration
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Bayesian estimation for homogeneous and inhomogeneous Gaussian random fields
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Spatial information retrieval from remote-sensing images. I. Information theoretical perspective
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Model-based despeckling and information extraction from SAR images
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Restoration of polarimetric SAR images using simulated annealing
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Deformable template models for emission tomography
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Truncation artifact reduction in magnetic resonance imaging by Markov random field methods
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Scale-space signatures for the detection of clustered microcalcifications in digital mammograms
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Magnetic resonance image analysis by information theoretic criteria and stochastic site models
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Bayesian estimation of parameters of a damped sinusoidal model by a Markov chain Monte Carlo method
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Optimal segmentation of random processes
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Detection of missing data in image sequences
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Texture synthesis via a noncausal nonparametric multiscale Markov random field
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Markovian reconstruction using a GNC approach
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Phase transitions and multi-scale Markov random fields: application to texture synthesis
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Fine Structure Recognition in Multichannel Observations
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A method for identifying non-Gaussian parametric model with time-varying coefficients
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End-to-End Learning of Variational Models and Solvers for the Resolution of Interpolation Problems
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Texture classification using nonparametric Markov random fields
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Bayesian off-line segmentation applied to multi-carrier GPS signals fusion
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A new stochastic model-based image segmentation technique for MR image
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Estimation of binary images by minimizing convex criteria
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Statistical fusion and sampling of scientific images
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Identification of non-Gaussian parametric model with time-varying coefficients using wavelet basis
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A method for parameter estimation of time-dependent AR model using higher-order spectra and wavelet basis
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Automated detection of cowhide defects using Markov random field techniques
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Recursive model-based image restoration
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Fast restoration of colour movie scratches
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Optimal segmentation by random process fusion
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Multi-look polarimetric SAR image filtering using simulated annealing
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Aggregation of land surface heat fluxes using stochastic state variables
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Markov neighborhood estimation with linear complexity for random fields
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Context Block Estimation for Random Fields
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Nonlinear multiscale representations of Markov random fields
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An approach for identification of non-Gaussian linear system with time-varying parameters
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The Equivalence of Half-Quadratic Minimization and the Gradient Linearization Iteration
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Non-Lipschitz $\ell_{p}$-Regularization and Box Constrained Model for Image Restoration
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Maximum-Likelihood Based Synthesis of Volumetric Textures From a 2D Sample
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Representing Diffusion MRI in 5-D Simplifies Regularization and Segmentation of White Matter Tracts
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Weighted Maximum Posterior Marginals for Random Fields Using an Ensemble of Conditional Densities From Multiple Markov Chain Monte Carlo Simulations
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Hidden markov random field model selection criteria based on mean field-like approximations
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Binary partitioning, perceptual grouping, and restoration with semidefinite programming
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Strong markov random field model
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Markov Random Field Surface Reconstruction
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A method for identification of time-varying non-gaussian model using wavelet basis functions
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A Loss Function Model for the Restoration of Grey Level Images
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Markov Random Fields with Higher‐order Interactions
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Adaptive Weights Smoothing with Applications to Image Restoration
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Bayesian Analysis of the Scatterometer Wind Retrieval Inverse Problem: Some New Approaches
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Dicussion on the Meeting on ‘Statistical Approaches to Inverse Problems’
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Spatial Statistics and Bayesian Computation
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Convergence Rates of the Gibbs Sampler, the Metropolis Algorithm and Other Single-Site Updating Dynamics
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Fast Approximate Maximum A Posteriori Restoration of Multicolour Images
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Multivariate Discriminant Analysis and Maximum Penalized Likelihood Density Estimation
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Connecting Markov random fields and active contour models: application to gland segmentation and classification
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Stochastic gradient estimation strategies for Markov random fields
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Probabilistic pairwise Markov models: application to prostate cancer detection
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Modeling environmental noise exceedances using non-homogeneous Poisson processes
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Optimization by Stochastic Continuation
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Posterior Expectation of the Total Variation Model: Properties and Experiments
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Minimizers of Cost-Functions Involving Nonsmooth Data-Fidelity Terms. Application to the Processing of Outliers
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Bayesian Image Modeling by Means of a Generalized Sparse Prior and Loopy Belief Propagation
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Training conditional random fields via gradient tree boosting
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Network flow optimization for restoration of images
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Maximum a posteriori estimation of the daily ozone peaks in Mexico City
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Markovianity in space and time
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Large deviations for a class of nonhomogeneous Markov chains
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A consistent model selection procedure for Markov random fields based on penalized pseudolikelihood
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On the Rate of Convergence of the Metropolis Algorithm and Gibbs Sampler by Geometric Bounds
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Convergence of Some Partially Parallel Gibbs Samplers with Annealing
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Stochastic models of interacting systems
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Convergence properties of the Gibbs sampler for perturbations of Gaussians
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Estimating the Variance of the Maximum Pseudo-Likelihood Estimator
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Bayesian Computation and Stochastic Systems
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Convergence in Probability of Compressed Annealing
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Energy control by linking individual patterns to self-repeating diffractive optical elements
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New regularization scheme for phase unwrapping
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Confocal pore size measurement based on super-resolution image restoration
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Nonparametric Markov Random Field Models for Natural Texture Images
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Computer simulation of moisture transport in fibrous materials
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Operations for Learning with Graphical Models
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Representation and reconstruction of covariance operators in linear inverse problems
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Recovering depth from focus using iterative image estimation techniques
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Estimating Distribution Maps from Atlas Data Using Methods of Statistical Image Analysis
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Time-Invariance Estimating Equations
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Gibbsianness and non-Gibbsianness for Bernoulli lattice fields under removal of isolated sites
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Joint Interpolation and Representation Learning for Irregularly Sampled Satellite-Derived Geophysical Fields
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Model distortions in Bayesian MAP reconstruction
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Analytical bounds on the minimizers of (nonconvex) regularized least-squares
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Restoration Process for Gray-scale Patterns by Using Path-integral
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Optimisation via Slice Sampling
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Chain Graphs for Learning
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End-to-end learning of energy-based representations for irregularly-sampled signals and images
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The Node-wise Pseudo-marginal Method
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From diffusion MRI to brain connectomics
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Segmentation of diffusion weighted MRI using the level set framework
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BAYESIAN IMAGE RESTORATION VIA VARYING NEIGHBORHOOD STRUCTURE
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Bayesian Change-Points Estimation Applied to GPS Signal Tracking
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The Gibbs fields approach and related dynamics in image processing
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