Results 51 to 60 of about 57,267 (303)

SIMULATION OF LARGE-SCALE STRUCTURE OF UNIVERSE BY GAUSSIAN RANDOM FIELDS

Odessa Astronomical Publications, 2018
Large-scale structure of Universe includes galaxy clusters connected by filaments. Voids occupy the rest of cosmic volume.The search of any dependencities in filament structure can give answer to more general questions about origin of structures in the ...
V. V. Voitsekhovskiy, A. V. Tugay
doaj   +1 more source

Efficient approximation of random fields for numerical applications [PDF]

, 2014
This article is dedicated to the rapid computation of separable expansions for the approximation of random fields. We consider approaches based on techniques from the approximation of non-local operators on the one hand and based on the pivoted Cholesky ...
Michael Peters, Markus Siebenmorgen, Peters, Michael, Helmut Harbrecht, Siebenmorgen, Markus, Harbrecht, Helmut   +5 more
core   +1 more source

Beltrami fields exhibit knots and chaos almost surely

Forum of Mathematics, Sigma, 2023
In this paper, we show that, with probability $1$ , a random Beltrami field exhibits chaotic regions that coexist with invariant tori of complicated topologies. The motivation to consider this question, which arises in the study of stationary Euler
Alberto Enciso, Daniel Peralta-Salas, Álvaro Romaniega   +2 more
doaj   +1 more source

Augmented Gaussian random field: Theory and computation

Discrete and Continuous Dynamical Systems - S, 2022
We propose the novel augmented Gaussian random field (AGRF), which is a universal framework incorporating the data of observable and derivatives of any order. Rigorous theory is established. We prove that under certain conditions, the observable and its derivatives of any order are governed by a single Gaussian random field, which is the aforementioned
Zhang, Sheng, Yang, Xiu, Tindel, Samy, Lin, Guang   +3 more
openaire   +4 more sources

Learning generative texture models with extended Fields-of-Experts [PDF]

, 2009
We evaluate the ability of the popular Field-of-Experts (FoE) to model structure in images. As a test case we focus on modeling synthetic and natural textures.
Geoffrey E. Hinton, Christopher K.I. Williams, Hinton, Geoffrey E., Heess, Nicolas, Williams, Christopher K. I., Nicolas Heess   +5 more
core   +1 more source

Error rates in spatial classification of Gaussian data with random labeling

Lietuvos Matematikos Rinkinys, 2010
In spatial classification it is usually assumed that features observations given labels are independently distributed. We have retracted this assumption by proposing stationary Gaussian random field model for features observations.
Lijana Stabingienė, Kęstutis Dučinskas   +1 more
doaj   +1 more source

Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices

, 2012
Sensitivity of output of a linear operator to its input can be quantified in various ways. In Control Theory, the input is usually interpreted as disturbance and the output is to be minimized in some sense.
Diamond, Phil, Kloeden, Peter E., Vladimirov, Igor   +2 more
core   +1 more source

Gaussian mixture model and Markov random fields for hyperspectral image classification

European Journal of Remote Sensing, 2018
This paper presents a novel method for reliable and efficient spatial-spectral classification of hyperspectral data. This algorithm is based on the Bayesian labelling by combining the results of the Gaussian mixture model (GMM) with spatial-contextual ...
Hamid Ghanbari, Saeid Homayouni, Abdolreza Safari, Pedram Ghamisi   +3 more
doaj   +1 more source

Four-dimensional experimental characterization of partially coherent light using incoherent modal decomposition

Nanophotonics, 2023
The intensity distributions and statistics of partially coherent light fields with random fluctuations have proven to be more robust than for coherent light.
Lu Xingyuan, Wang Zhuoyi, Zhao Chengliang, Zhan Qiwen, Cai Yangjian   +4 more
doaj   +1 more source

Value of MRI Outcomes for Preventive and Early‐Stage Trials in Spinocerebellar Ataxias 1 and 3

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To examine the value of MRI outcomes as endpoints for preventive and early‐stage trials of two polyglutamine spinocerebellar ataxias (SCAs). Methods A cohort of 100 participants (23 SCA1, 63 SCA3, median Scale for the Assessment and Rating of Ataxia (SARA) score = 5, 42% preataxic, and 14 gene‐negative controls) was scanned at 3T up ...
Thiago J. R. Rezende, Emilien Petit, Young Woo Park, Sophie Tezenas du Montcel, James M. Joers, Jonathan M. DuBois, H. Moore Arnold, Michal Povazan, Ipek Özdemir, Guita Banan, Romain Valabregue, Philipp Ehses, Jennifer Faber, Chiadi U. Onyike, Peter B. Barker, Jeremy D. Schmahmann, Eva‐Maria Ratai, Sub H. Subramony, Thomas H. Mareci, Khalaf O. Bushara, Henry Paulson, Thomas Klockgether, Alexandra Durr, Tetsuo Ashizawa, Christophe Lenglet, Gülin Öz, READISCA Investigators   +26 more
wiley   +1 more source