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Relevant bibliographies by topics / Random field solution

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Academic literature on the topic 'Random field solution'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Random field solution"

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YU. KHRENNIKOV, A., and S. V. KOZYREV. "ULTRAMETRIC RANDOM FIELD." Infinite Dimensional Analysis, Quantum Probability and Related Topics 09, no. 02 (2006): 199–213. http://dx.doi.org/10.1142/s0219025706002317.

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Gaussian random field on general ultrametric space is introduced as a solution of pseudodifferential stochastic equation. Covariation of the introduced random field is computed with the help of wavelet analysis on ultrametric spaces. Notion of ultrametric Markovianity, which describes independence of contributions to random field from different ultrametric balls is introduced. We show that the random field under investigation satisfies this property.

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Angulo, J. M., M. D. Ruiz-Medina, and V. V. Anh. "Estimation and filtering of fractional generalised random fields." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 69, no. 3 (2000): 336–61. http://dx.doi.org/10.1017/s1446788700002500.

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AbstractThis paper considers the estimation and filtering of fractional random fields, of which fractional Brownian motion and fractional Riesz-Bessel motion are important special cases. A least-squares solution to the problem is derived by using the duality theory and covariance factorisation of fractional generalised random fields. The minimum fractional duality order of the information random field leads to the most general class of solutions corresponding to the largest function space where the output random field can be approximated. The second-order properties that define the class of ra

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E., M. Omaba, Nwaeze E., and O. Omenyi L. "On Non-existence of Global Weak-predictable-random-field Solutions to a Class of SHEs." Asian Research Journal of Mathematics 4, no. 2 (2017): 1–14. https://doi.org/10.9734/ARJOM/2017/33317.

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The multiplicative non-linearity term is usually assumed to be globally Lipschitz in most results on SPDEs. This work proves that the solutions fail to exist if the non-linearity term grows faster than linear growth. The global non-existence of the solution occurs for some non-linear conditions on . Some precise conditions for existence and uniqueness of the solutions were stated and we have established that the solutions grow in time at most a precise exponential rate at some time interval; and if the solutions satisfy some non-linear conditions then they cease to exist at some finite time .

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Opper, M. "Exact solution to a toy random field model." Journal of Physics A: Mathematical and General 26, no. 16 (1993): L719—L722. http://dx.doi.org/10.1088/0305-4470/26/16/002.

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Mac, D. Hung, Stephane Clenet, Jean-Claude Mipo, and Olivier Moreau. "Solution of Static Field Problems With Random Domains." IEEE Transactions on Magnetics 46, no. 8 (2010): 3385–88. http://dx.doi.org/10.1109/tmag.2010.2045358.

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Barnes, T., and G. J. Daniell. "Numerical solution of field theories using random walks." Nuclear Physics B 257 (January 1985): 173–98. http://dx.doi.org/10.1016/0550-3213(85)90342-6.

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NOUY, A., and C. SOIZE. "Random field representations for stochastic elliptic boundary value problems and statistical inverse problems." European Journal of Applied Mathematics 25, no. 3 (2014): 339–73. http://dx.doi.org/10.1017/s0956792514000072.

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This paper presents new results allowing an unknown non-Gaussian positive matrix-valued random field to be identified through a stochastic elliptic boundary value problem, solving a statistical inverse problem. A new general class of non-Gaussian positive-definite matrix-valued random fields, adapted to the statistical inverse problems in high stochastic dimension for their experimental identification, is introduced and its properties are analysed. A minimal parameterisation of discretised random fields belonging to this general class is proposed. Using this parameterisation of the general cla

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Riera, Rosane, C. M. Chaves, and R. R. dos Santos. "Potts chain in a random field: An exact solution." Physical Review B 31, no. 5 (1985): 3093–99. http://dx.doi.org/10.1103/physrevb.31.3093.

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Schwartz, M. "The random-field puzzle. I. Solution by equivalent annealing." Journal of Physics C: Solid State Physics 18, no. 1 (1985): 135–58. http://dx.doi.org/10.1088/0022-3719/18/1/019.

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Chyan, Phie, and N. Tri Saptadi. "Pemulihan Citra Berbasis Metode Markov Random Field." JURIKOM (Jurnal Riset Komputer) 9, no. 2 (2022): 218. http://dx.doi.org/10.30865/jurikom.v9i2.3966.

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Image processing and computer vision today are faced with increasing big data applications. Excessive collection of Image data sometimes can have bad quality due to errors at the time of acquisition or at the time of transmission, so for that problem the method is needed to perform image restoration. Image restoration is a process to make improvements to the image with the aim of obtaining a clean image from noise like the original image. Among the methods that can be used in image restoration, Markov Random Field (MRF) based on a probabilistic representation of image processing problems, name

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Dissertations / Theses on the topic "Random field solution"

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Antoni, Markus [Verfasser], and L. [Akademischer Betreuer] Weis. "Regular Random Field Solutions for Stochastic Evolution Equations / Markus Antoni ; Betreuer: L. Weis." Karlsruhe : KIT-Bibliothek, 2017. http://d-nb.info/1132998034/34.

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Borsali, Redouane. "Etude theorique du comportement dynamique des melanges ternaires de polymere en solution : etude experimentale par spectroscopie rayleigh quasi-elastique." Université Louis Pasteur (Strasbourg) (1971-2008), 1988. http://www.theses.fr/1988STR13138.

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L'etude d'un melange ternaire de polymeres en solution semidiluee presente deux modes de relaxation. Mise en evidence par diffusion de lumiere quasi-elastique de deux processus de diffusion: le premier, lent, correspond au mouvement relatif des deux polymeres; le second, rapide, correspond au mouvement cooperatif du reseau physique forme par les deux polymeres

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Hurth, Tobias. "Limit theorems for a one-dimensional system with random switchings." Thesis, Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/37201.

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We consider a simple one-dimensional random dynamical system with two driving vector fields and random switchings between them. We show that this system satisfies a one force - one solution principle and compute its unique invariant density explicitly. We study the limiting behavior of the invariant density as the switching rate approaches zero and infinity and derive analogues of classical probabilistic results such as the central limit theorem and large deviations principle.

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Cecchin, Alekos. "Finite State N-player and Mean Field Games." Doctoral thesis, Università degli studi di Padova, 2018. http://hdl.handle.net/11577/3424949.

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Mean field games represent limit models for symmetric non-zero sum dynamic games when the number N of players tends to infinity. In this thesis, we study mean field games and corresponding N- player games in continuous time over a finite time horizon where the position of each agent belongs to a finite state space. As opposed to previous works on finite statemean field games, we use a probabilistic representation of the system dynamics in terms of stochastic differential equations driven by Poisson random measures. Firstly, under mild assumptions, we prove existence of solutions to the mean fi

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Galisot, Gaëtan. "Segmentation incrémentale et interactive d'images médicales 3D." Thesis, Tours, 2018. http://www.theses.fr/2018TOUR4035.

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Cette thèse présente une nouvelle méthode de segmentation interactive et incrémentale d'images médicales 3D. Nous proposons une manière plus locale, de modéliser les connaissances a priori décrivant les structures d'intérêt. Des relations spatiales sont également apprises entre ces régions et ont pour objectif de permettre le positionnement automatique des atlas locaux au sein de l'image entière. Lors de la segmentation, ces informations sont utilisées suivant un processus incrémental permettant de réaliser des segmentations partielles et rapides tout en choisissant l'ordre de segmentation des

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Fujdiak, Radek. "Analýza a optimalizace datové komunikace pro telemetrické systémy v energetice." Doctoral thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2017. http://www.nusl.cz/ntk/nusl-358408.

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Telemetry system, Optimisation, Sensoric networks, Smart Grid, Internet of Things, Sensors, Information security, Cryptography, Cryptography algorithms, Cryptosystem, Confidentiality, Integrity, Authentication, Data freshness, Non-Repudiation.

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Marroquin, Jose Luis. "Probabilistic Solution of Inverse Problems." 1985. http://hdl.handle.net/1721.1/6872.

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In this thesis we study the general problem of reconstructing a function, defined on a finite lattice from a set of incomplete, noisy and/or ambiguous observations. The goal of this work is to demonstrate the generality and practical value of a probabilistic (in particular, Bayesian) approach to this problem, particularly in the context of Computer Vision. In this approach, the prior knowledge about the solution is expressed in the form of a Gibbsian probability distribution on the space of all possible functions, so that the reconstruction task is formulated as an estimation problem. Our main

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Books on the topic "Random field solution"

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Sigal, Anatoliy. Probability theory with elements of mathematical statistics, theory of random processes and econometrics. INFRA-M Academic Publishing LLC., 2023. http://dx.doi.org/10.12737/1842523.

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The textbook outlines the main sections of probability theory, mathematical statistics, theory of random processes and econometrics. The presentation of theoretical information is illustrated by numerous numerical examples. It contains questions and tasks for students to self-check the degree of assimilation of the material presented, as well as tasks for independent solution. Meets the requirements of the federal state educational standards of higher education of the latest generation. For students of higher educational institutions studying in the field of training "Business Info

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Huyse, Luc. Random field solutions including boundary condition uncertainty for steady-stae generalized Burgers equation. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2001.

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Bertola, Marco. Chain of matrices, loop equations, and topological recursion. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.16.

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This article considers the so-called loop equations satisfied by integrals over random matrices coupled in a chain as well as their recursive solution in the perturbative case when the matrices are Hermitian. Random matrices are used in fields such as the study of multi-orthogonal polynomials or the enumeration of discrete surfaces, both of which are based on the analysis of a matrix integral. However, this term can be confusing since the definition of a matrix integral in these two applications is not the same. The article discusses these two definitions, perturbative and non-perturbative, al

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Grenander, Ulf, and Michael I. Miller. Pattern Theory. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198505709.001.0001.

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Pattern Theory provides a comprehensive and accessible overview of the modern challenges in signal, data, and pattern analysis in speech recognition, computational linguistics, image analysis and computer vision. Aimed at graduate students in biomedical engineering, mathematics, computer science, and electrical engineering with a good background in mathematics and probability, the text includes numerous exercises and an extensive bibliography. Additional resources including extended proofs, selected solutions and examples are available on a companion website. The book commences with a short ov

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Marks II, Robert J. Handbook of Fourier Analysis & Its Applications. Oxford University Press, 2009. http://dx.doi.org/10.1093/oso/9780195335927.001.0001.

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Fourier analysis has many scientific applications - in physics, number theory, combinatorics, signal processing, probability theory, statistics, option pricing, cryptography, acoustics, oceanography, optics and diffraction, geometry, and other areas. In signal processing and related fields, Fourier analysis is typically thought of as decomposing a signal into its component frequencies and their amplitudes. This practical, applications-based professional handbook comprehensively covers the theory and applications of Fourier Analysis, spanning topics from engineering mathematics, signal processi

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Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices Ams Special Session Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices January 67 2012 Boston Ma. American Mathematical Society, 2013.

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Wikle, Christopher K. Spatial Statistics. Oxford University Press, 2018. http://dx.doi.org/10.1093/acrefore/9780190228620.013.710.

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The climate system consists of interactions between physical, biological, chemical, and human processes across a wide range of spatial and temporal scales. Characterizing the behavior of components of this system is crucial for scientists and decision makers. There is substantial uncertainty associated with observations of this system as well as our understanding of various system components and their interaction. Thus, inference and prediction in climate science should accommodate uncertainty in order to facilitate the decision-making process. Statistical science is designed to provide the to

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Ślusarski, Marek. Metody i modele oceny jakości danych przestrzennych. Publishing House of the University of Agriculture in Krakow, 2017. http://dx.doi.org/10.15576/978-83-66602-30-4.

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The quality of data collected in official spatial databases is crucial in making strategic decisions as well as in the implementation of planning and design works. Awareness of the level of the quality of these data is also important for individual users of official spatial data. The author presents methods and models of description and evaluation of the quality of spatial data collected in public registers. Data describing the space in the highest degree of detail, which are collected in three databases: land and buildings registry (EGiB), geodetic registry of the land infrastructure network

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Johansen, Bruce, and Adebowale Akande, eds. Nationalism: Past as Prologue. Nova Science Publishers, Inc., 2021. http://dx.doi.org/10.52305/aief3847.

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Nationalism: Past as Prologue began as a single volume being compiled by Ad Akande, a scholar from South Africa, who proposed it to me as co-author about two years ago. The original idea was to examine how the damaging roots of nationalism have been corroding political systems around the world, and creating dangerous obstacles for necessary international cooperation. Since I (Bruce E. Johansen) has written profusely about climate change (global warming, a.k.a. infrared forcing), I suggested a concerted effort in that direction. This is a worldwide existential threat that affects every living t

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Book chapters on the topic "Random field solution"

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Nienhuis, B. "Exact Solution of Random Tiling Models." In Quantum Field Theory: Perspective and Prospective. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4542-8_10.

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Suzuki, Taira, Shin Takeuchi, and Hideo Yoshinaga. "Dislocation Motion in the Field of a Random Distribution of Point Obstacles: Solution Hardening." In Dislocation Dynamics and Plasticity. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-75774-7_3.

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Zacks, Shelemyahu. "Problems and Solutions." In Stochastic Visibility in Random Fields. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-2690-1_8.

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Mémin, Etienne, Long Li, Noé Lahaye, Gilles Tissot, and Bertrand Chapron. "Linear Wave Solutions of a Stochastic Shallow Water Model." In Mathematics of Planet Earth. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-40094-0_10.

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AbstractIn this paper, we investigate the wave solutions of a stochastic rotating shallow water model. This approximate model provides an interesting simple description of the interplay between waves and random forcing ensuing either from the wind or coming as the feedback of the ocean on the atmosphere and leading in a very fast way to the selection of some wavelength. This interwoven, yet simple, mechanism explains the emergence of typical wavelength associated with near inertial waves. Ensemble-mean waves that are not in phase with the random forcing are damped at an exponential rate, whose

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Batra, Dhruv, Payman Yadollahpour, Abner Guzman-Rivera, and Gregory Shakhnarovich. "Diverse M-Best Solutions in Markov Random Fields." In Computer Vision – ECCV 2012. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33715-4_1.

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Bonaccorsi, S., and G. Guatteri. "Classical Solutions for SPDEs with Dirichlet Boundary Conditions." In Seminar on Stochastic Analysis, Random Fields and Applications III. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8209-5_3.

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Cerrai, S. "Classical Solutions for Kolmogorov Equations in Hilbert Spaces." In Seminar on Stochastic Analysis, Random Fields and Applications III. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8209-5_5.

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Leonenko, Nikolai. "Limit Theorems for Solutions of the Burgers’ Equation with Random Data." In Limit Theorems for Random Fields with Singular Spectrum. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4607-4_4.

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Benachour, S., B. Roynette, and P. Vallois. "Explicit Solutions of Some Fourth Order Partial Differential Equations via Iterated Brownian Motion." In Seminar on Stochastic Analysis, Random Fields and Applications. Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8681-9_4.

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Bachmayr, Markus, and Albert Cohen. "Multilevel Representations of Random Fields and Sparse Approximations of Solutions to Random PDEs." In Multiscale, Nonlinear and Adaptive Approximation II. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-75802-7_3.

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Conference papers on the topic "Random field solution"

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Lyu, Xiaofei, and Jie Li. "Analytical Solution of Generalized Probability Density Evolution Equation for the Diffusion Process of Chloride Ions in Concrete and Diffusion Process Analysis." In IABSE Symposium, Tokyo 2025: Environmentally Friendly Technologies and Structures: Focusing on Sustainable Approaches. International Association for Bridge and Structural Engineering (IABSE), 2025. https://doi.org/10.2749/tokyo.2025.2560.

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<p>For chlorine-exposed concrete structures, the diffusion of chloride in the concrete is a stochastic process that can be described by Fick's second law with a random diffusion coefficient. In this study, the generalized probability density evolution equation (GDEE) for the chloride diffusion process is established, and the analytical probability density function (PDF) for the chloride concentration in concrete is derived by solving the GDEE with the characteristic method. The chloride diffusion process is then analysed with the diffusion coefficient following a lognormal distribution.

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Tsai, Meng-Lin, and Styliani Avraamidou. "Assessing Triviality in Random Mixed-Integer Bilevel Optimization Problems to Improve Problem Generators and Libraries." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.149474.

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While bilevel optimization is gaining prominence across various domains, the field lacks standardized tools for generating test problems that can effectively evaluate and guide the development of efficient solution algorithms. We define the term "trivial bilevel optimization problem" as a bilevel problem whose high-point relaxation solution is also feasible. These easy-to-solve problems frequently arise in na�ve implementations of random bilevel optimization problem generators, significantly impacting the evaluation of bilevel solution algorithms. However, this problem has not been addressed i

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Shah, Naseeb, and Majid Ali. "An Insight into Pavement Maintenance with Fiber Concrete Overlays." In Technology Enabled Civil Infrastructure Engineering & Management Conference. Trans Tech Publications Ltd, 2025. https://doi.org/10.4028/p-2mid1n.

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In the realm of civil engineering, scientists and engineers are striving to enhance the performance of Portland cement concrete (PCC) by incorporating organic waste materials, particularly wheat straw fibers. These fibers, alongside polymers, are key components in reinforcing cementitious concrete. They have been extensively studied and found to positively impact plain concrete, leading to the development of fiber-reinforced concrete (FRC). This study innovates construction through unique random fiber inclusion, diverse types, and addressing maintenance overlays of rigid pavements. This concep

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Andrew, B. E., and D. F. Marshall. "Microbiological Intervention in the Corrosion Protection of Steel Sheet." In CORROSION 1986. NACE International, 1986. https://doi.org/10.5006/c1986-86413.

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Abstract The Westernport plant has had an intermittent corrosion problem on uncoated temper-rolled steel for some years. This problem was distinctive in terms of its apparently random occurrence, the small proportion of product affected, corrosion pattern, and distribution on the steel strip surface. A logical problem-solving process was used to define the causes of the corrosion problem. The hypothesis that corrosion was caused by a combination of bacterial action, and entrapped moisture derived from nitrite-based inhibitor solution, has been verified by laboratory and field tests. Addition o

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Lavrentiev, Mikhail, Konstantin Lysakov, Andrey Marchuk, and Konstantin Oblaukhov. "GREEN SUPERCOMPUTING � CALCULATING TSUNAMI WAVE PROPAGATION." In 24th SGEM International Multidisciplinary Scientific GeoConference 2024. STEF92 Technology, 2024. https://doi.org/10.5593/sgem2024v/4.2/s19.41.

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Nowadays, the use of supercomputing for solving almost any task ranging from industrial to the ecological ones has been increasing. It should be noted that this requires lots of energy, which negatively affects the environment and is costly. However, in a number of cases it is possible to achieve high performance calculations without the use of supercomputers but instead by relying on special processors, focused on a particular class of tasks. While optimizing the computational pipeline for a particular mathematical model, the modern Field Programmable Gates Array (FPGA) platform provides an o

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Buryachenko, Valeriy A. "Method of Fundamental Solution in Thermoelasticity of Random Structure Matrix Composites." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-86515.

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One considers linear thermoelastic composite media, which consist of a homogeneous matrix containing a statistically homogeneous random set of aligned homogeneous heterogeneities of non-canonical (i.e. non-ellipsoidal) shape. The representations of the effective properties (effective moduli, thermal expansion, and stored energy) are expressed through the statistical averages of the interface polarization tensors (generalizing the initial concepts, see e.g. [1] and [2]) introduced apparently for the first time. The new general integral equations connecting the stress and strain fields in the po

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Harmassi, Mariem, Cyril Faucher, and Yacine Ghamri-Doudane. "Smart things: Conditional random field based solution for context awareness at the IoT edge." In 2018 15th IEEE Annual Consumer Communications & Networking Conference (CCNC). IEEE, 2018. http://dx.doi.org/10.1109/ccnc.2018.8319197.

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Tagade, Piyush M., and Han-Lim Choi. "An Efficient Bayesian Calibration Approach Using Dynamically Biorthogonal Field Equations." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70584.

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Present paper proposes new dynamic-biorthogonality based Bayesian formulation for calibration of computer simulators with parametric uncertainty. The formulation uses decomposition of solution field into mean and random field. The random field is represented as a convolution of separable Hilbert spaces in stochastic and spacial dimensions. Both the dimensions are spectrally represented using respective orthogonal bases. In particular, present paper investigates polynomial chaos basis for stochastic dimension and eigenfunction basis for spacial dimension. Dynamic evolution equations are derived

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Beemaraj, Soban Babu, Bilal Muhammed, Amol Joshi, Edmond Coche, and Alain Chanet. "Quantification of Uncertainty in Field Layout Design of Subsea Production System." In Offshore Technology Conference. OTC, 2024. http://dx.doi.org/10.4043/35121-ms.

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Abstract The objective of this work is to study the effect of variability in the well flowrate and well target location on layout design of subsea production system. This work introduces an uncertainty quantification approach to assess the variability in subsea production system layout design, utilizing a subsea layout simulation frame-work which incorporates several design considerations such as well target locations in the reservoir, wells per manifold, bathymetry of the seabed, exclusion areas on the seabed, flow assurance, metocean considerations, flowline laying considerations, and piggin

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Kalidindi, Sanjay V., Zoubeida Ounaies, and Hamid Kaddami. "Electric Field Manipulation of Cellulose Whiskers in Polyvinyl Acetate." In ASME 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2010. http://dx.doi.org/10.1115/smasis2010-3882.

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Cellulose whiskers as inclusions have shown a lot of promise due to their potential to enhance mechanical and piezoelectric response of polymers. In addition, CWs are high aspect ratio particles; by aligning them in polymers, improved and anisotropic physical properties could be achieved. In this study, we investigate the effect of AC electric field on the alignment of CWs in a solution of PVAc and DMF. CWs were dispersed as small bundles (&lt;10μm). Alignment and chain formation was found to be a function of electric field magnitude, frequency and time. Dielectric constant of the solution

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