Random Walk on a Rough Surface: Renormalization Group Analysis of a Simple Model [PDF]
The field-theoretic renormalization group is applied to a simple model of a random walk on a rough fluctuating surface. We consider the Fokker–Planck equation for a particle in a uniform gravitational field.
Polina I. Kakin +3 more
core +1 more source
Decomposed Mean Euler-Poincaré Characteristic Model for a Non-Gaussian Physiological Random Field
This paper introduces a new approach of the mean Euler-Poincaré characteristic for nonGaussian random fields (NGRF), which is based on the decomposition by a basic function named motherwave.
Moises Ramos-Martinez +3 more
doaj +1 more source
Spherical Model in a Random Field [PDF]
We investigate the properties of the Gibbs states and thermodynamic observables of the spherical model in a random field. We show that on the low-temperature critical line the magnetization of the model is not a self-averaging observable, but it self-averages conditionally. We also show that an arbitrarily weak homogeneous boundary field dominates over
openaire +2 more sources
Snake based Unsupervised Texture Segmentation using Gaussian Markov Random Field Models [PDF]
A functional for unsupervised texture segmentation is investigated in this paper. An auto-normal model based on Markov Random Fields is employed to model textures. The functional investigated here is optimized with respect to the model parameters and the
Mahmoodi, Sasan +3 more
core +1 more source
Unsupervised Texture Segmentation using Active Contours and Local Distributions of Gaussian Markov Random Field Parameters [PDF]
In this paper, local distributions of low order Gaussian Markov Random Field (GMRF) model parameters are proposed as texture features for unsupervised texture segmentation.Instead of using model parameters as texture features, we exploit the variations ...
Michael Bennet +7 more
core +1 more source
Improved Image Segmentation Algorithm Based on High-order Conditional Random Field Model [PDF]
In image segmentation,Conditional Random Field(CRF) model and its higher-order model are widely used as energy function.The latter is based on second-order model by introducing higher-order potential function to reflect consistency of pixel labels of ...
WANG Lingjiao,ZHONG Yiqun,GUO Hua,PENG Zhiqiang
doaj +1 more source
Polyphonic music modeling with random fields [PDF]
Recent interest in the area of music information retrieval and related technologies is exploding. However, very few of the existing techniques take advantage of recent developments in statistical modeling. In this paper we discuss an application of Random Fields to the problem of creating accurate yet flexible statistical models of polyphonic music ...
Victor Lavrenko, Jeremy Pickens
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Analogues of Non-Gibbsianness in Joint Measures of Disordered Mean Field Models [PDF]
It is known that the joint measures on the product of spin-space and disorder space are very often non-Gibbsian measures, for lattice systems with quenched disorder, at low temperature.
Külske, Christof, Külske, Christof,
core +1 more source
Random field Ising model and Parisi-Sourlas supersymmetry. Part II. Renormalization group
We revisit perturbative RG analysis in the replicated Landau-Ginzburg description of the Random Field Ising Model near the upper critical dimension 6. Working in a field basis with manifest vicinity to a weakly-coupled Parisi-Sourlas supersymmetric fixed
Apratim Kaviraj +2 more
doaj +1 more source
Approximation Algorithms for the Random Field Ising Model
Approximating the partition function of the ferromagnetic Ising model with general external fields is known to be #BIS-hard in the worst case, even for bounded-degree graphs, and it is widely believed that no polynomial-time approximation scheme exists.
Tyler Helmuth +4 more
openaire +2 more sources

