Relevant bibliographies by topics / Stochastic processes with large dimension

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Stochastic processes with large dimension'

Author: Grafiati
Published: 12 October 2024
Last updated: 31 July 2025

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Journal articles on the topic "Stochastic processes with large dimension"

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Panos, Aristeidis, Petros Dellaportas, and Michalis K. Titsias. "Large scale multi-label learning using Gaussian processes." Machine Learning 110, no. 5 (2021): 965–87. http://dx.doi.org/10.1007/s10994-021-05952-5.

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AbstractWe introduce a Gaussian process latent factor model for multi-label classification that can capture correlations among class labels by using a small set of latent Gaussian process functions. To address computational challenges, when the number of training instances is very large, we introduce several techniques based on variational sparse Gaussian process approximations and stochastic optimization. Specifically, we apply doubly stochastic variational inference that sub-samples data instances and classes which allows us to cope with Big Data. Furthermore, we show it is possible and bene
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Feitzinger, J. V. "Star Formation in the Large Magellanic Cloud." Symposium - International Astronomical Union 115 (1987): 521–33. http://dx.doi.org/10.1017/s0074180900096315.

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Methods used in pattern recognition and cluster analysis are applied to investigate the spatial distribution of the star forming regions. The fractal dimension of these structures is deduced. The new 21 cm, radio continuum (1.4 GHz) and IRAS surveys reveal scale structures of 700 pc to 1500 pc being identical with the optically identified star forming sites. The morphological structures delineated by young stars reflect physical parameters which determine the star formation in this galaxy. The formation of spiral arm filaments is understandable by stochastic selfpropagating star formation proc
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FRICKE, THOMAS, and DIETMAR WENDT. "THE MARKOFF AUTOMATON: A NEW ALGORITHM FOR SIMULATING THE TIME-EVOLUTION OF LARGE STOCHASTIC DYNAMIC SYSTEMS." International Journal of Modern Physics C 06, no. 02 (1995): 277–306. http://dx.doi.org/10.1142/s0129183195000216.

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We describe a new algorithm for simulating complex Markoff processes. We have used a reaction-cell method in order to simulate arbitrary reactions. It can be used for any kind of RDS on arbitrary topologies, including fractal dimensions or configurations not being related to any spatial geometry. The events within a single cell are managed by an event handler which has been implemented independently of the system studied. The method is exact on the Markoff level including the correct treatment of finite numbers of molecules. To demonstrate its properties, we apply it on a very simple reaction-
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Mazzolo, Alain, and Cécile Monthus. "Conditioning diffusion processes with killing rates." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 8 (2022): 083207. http://dx.doi.org/10.1088/1742-5468/ac85ea.

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Abstract When the unconditioned process is a diffusion submitted to a space-dependent killing rate k ( x → ) , various conditioning constraints can be imposed for a finite time horizon T. We first analyze the conditioned process when one imposes both the surviving distribution at time T and the killing-distribution for the intermediate times t ∈ [0, T]. When the conditioning constraints are less-detailed than these full distributions, we construct the appropriate conditioned processes via the optimization of the dynamical large deviations at level 2.5 in the presence of the conditioning constr
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Honkonen, Juha. "Fractional Stochastic Field Theory." EPJ Web of Conferences 173 (2018): 01005. http://dx.doi.org/10.1051/epjconf/201817301005.

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Models describing evolution of physical, chemical, biological, social and financial processes are often formulated as differential equations with the understanding that they are large-scale equations for averages of quantities describing intrinsically random processes. Explicit account of randomness may lead to significant changes in the asymptotic behaviour (anomalous scaling) in such models especially in low spatial dimensions, which in many cases may be captured with the use of the renormalization group. Anomalous scaling and memory effects may also be introduced with the use of fractional
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Jonckheere, Matthieu, and Seva Shneer. "Stability of Multi-Dimensional Birth-and-Death Processes with State-Dependent 0-Homogeneous Jumps." Advances in Applied Probability 46, no. 1 (2014): 59–75. http://dx.doi.org/10.1239/aap/1396360103.

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We study the conditions for positive recurrence and transience of multi-dimensional birth-and-death processes describing the evolution of a large class of stochastic systems, a typical example being the randomly varying number of flow-level transfers in a telecommunication wire-line or wireless network. First, using an associated deterministic dynamical system, we provide a generic method to construct a Lyapunov function when the drift is a smooth function on ℝN. This approach gives an elementary and direct proof of ergodicity. We also provide instability conditions. Our main contribution cons
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Jonckheere, Matthieu, and Seva Shneer. "Stability of Multi-Dimensional Birth-and-Death Processes with State-Dependent 0-Homogeneous Jumps." Advances in Applied Probability 46, no. 01 (2014): 59–75. http://dx.doi.org/10.1017/s0001867800006935.

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We study the conditions for positive recurrence and transience of multi-dimensional birth-and-death processes describing the evolution of a large class of stochastic systems, a typical example being the randomly varying number of flow-level transfers in a telecommunication wire-line or wireless network. First, using an associated deterministic dynamical system, we provide a generic method to construct a Lyapunov function when the drift is a smooth function on ℝN. This approach gives an elementary and direct proof of ergodicity. We also provide instability conditions. Our main contribution cons
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Anantharam, Venkat, and François Baccelli. "Capacity and Error Exponents of Stationary Point Processes under Random Additive Displacements." Advances in Applied Probability 47, no. 1 (2015): 1–26. http://dx.doi.org/10.1239/aap/1427814578.

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Consider a real-valued discrete-time stationary and ergodic stochastic process, called the noise process. For each dimension n, we can choose a stationary point process in ℝn and a translation invariant tessellation of ℝn. Each point is randomly displaced, with a displacement vector being a section of length n of the noise process, independent from point to point. The aim is to find a point process and a tessellation that minimizes the probability of decoding error, defined as the probability that the displaced version of the typical point does not belong to the cell of this point. We consider
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Anantharam, Venkat, and François Baccelli. "Capacity and Error Exponents of Stationary Point Processes under Random Additive Displacements." Advances in Applied Probability 47, no. 01 (2015): 1–26. http://dx.doi.org/10.1017/s0001867800007679.

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Consider a real-valued discrete-time stationary and ergodic stochastic process, called the noise process. For each dimension n, we can choose a stationary point process in ℝ n and a translation invariant tessellation of ℝ n . Each point is randomly displaced, with a displacement vector being a section of length n of the noise process, independent from point to point. The aim is to find a point process and a tessellation that minimizes the probability of decoding error, defined as the probability that the displaced version of the typical point does not belong to the cell of this point. We consi
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EL BOUSTANI, SAMI, and ALAIN DESTEXHE. "BRAIN DYNAMICS AT MULTIPLE SCALES: CAN ONE RECONCILE THE APPARENT LOW-DIMENSIONAL CHAOS OF MACROSCOPIC VARIABLES WITH THE SEEMINGLY STOCHASTIC BEHAVIOR OF SINGLE NEURONS?" International Journal of Bifurcation and Chaos 20, no. 06 (2010): 1687–702. http://dx.doi.org/10.1142/s0218127410026769.

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Nonlinear time series analyses have suggested that the human electroencephalogram (EEG) may share statistical and dynamical properties with chaotic systems. During slow-wave sleep or pathological states like epilepsy, correlation dimension measurements display low values, while in awake and attentive subjects, there is no such low dimensionality, and the EEG is more similar to a stochastic variable. We briefly review these results and contrast them with recordings in cat cerebral cortex, as well as with theoretical models. In awake or sleeping cats, recordings with microelectrodes inserted in
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Dissertations / Theses on the topic "Stochastic processes with large dimension"

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Bastide, Dorinel-Marian. "Handling derivatives risks with XVAs in a one-period network model." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASM027.

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La réglementation requiert des établissements bancaires d'être en mesure de conduire des analyses de scénarios de tests de résistance (stress tests) réguliers de leurs expositions, en particulier face aux chambres de compensation (CCPs) auxquels ils sont largement exposés, en appliquant des chocs de marchés pour capturer le risque de marché et des chocs économiques pouvant conduire à l'état de faillite, dit aussi de défaut, divers acteurs financiers afin de refléter les risques de crédit et de contrepartie. Un des rôles principaux des CCPs est d'assurer par leur interposition entre acteurs fin
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Jones, Elinor Mair. "Large deviations of random walks and levy processes." Thesis, University of Manchester, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.491853.

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Suzuki, Kohei. "Convergence of stochastic processes on varying metric spaces." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/215281.

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Kuwada, Kazumasa. "On large deviations for current-valued processes induced from stochastic line integrals." 京都大学 (Kyoto University), 2004. http://hdl.handle.net/2433/147585.

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Hoshaw-Woodard, Stacy. "Large sample methods for analyzing longitudinal data in rehabilitation research /." free to MU campus, to others for purchase, 1999. http://wwwlib.umi.com/cr/mo/fullcit?p9946263.

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Löhr, Wolfgang. "Models of Discrete-Time Stochastic Processes and Associated Complexity Measures." Doctoral thesis, Universitätsbibliothek Leipzig, 2010. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-38267.

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Many complexity measures are defined as the size of a minimal representation in a specific model class. One such complexity measure, which is important because it is widely applied, is statistical complexity. It is defined for discrete-time, stationary stochastic processes within a theory called computational mechanics. Here, a mathematically rigorous, more general version of this theory is presented, and abstract properties of statistical complexity as a function on the space of processes are investigated. In particular, weak-* lower semi-continuity and concavity are shown, and it is argued
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Löhr, Wolfgang. "Models of Discrete-Time Stochastic Processes and Associated Complexity Measures." Doctoral thesis, Max Planck Institut für Mathematik in den Naturwissenschaften, 2009. https://ul.qucosa.de/id/qucosa%3A11017.

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Many complexity measures are defined as the size of a minimal representation in a specific model class. One such complexity measure, which is important because it is widely applied, is statistical complexity. It is defined for discrete-time, stationary stochastic processes within a theory called computational mechanics. Here, a mathematically rigorous, more general version of this theory is presented, and abstract properties of statistical complexity as a function on the space of processes are investigated. In particular, weak-* lower semi-continuity and concavity are shown, and it is argued
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Kubasch, Madeleine. "Approximation of stochastic models for epidemics on large multi-level graphs." Electronic Thesis or Diss., Institut polytechnique de Paris, 2024. https://theses.hal.science/tel-04717689.

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Nous étudions un modèle SIR à deux niveaux de mélange, à savoir un niveau global uniformément mélangeant, et un niveau local divisé en deux couches de contacts au sein des foyers et lieux de travail, respectivement. Nous cherchons à développer des modèles réduits qui approchent bien cette dynamique épidémique, tout en étant plus maniables pour l’analyse numérique et/ou théorique.D'abord, nous analysons l’impact épidémique de la distribution des tailles des lieux de travail. Notre étude par simulations montre que, si la moyenne de la distribution des tailles de lieux de travail est fixée, sa va
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De, Oliveira Gomes André. "Large Deviations Studies for Small Noise Limits of Dynamical Systems Perturbed by Lévy Processes." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/19118.

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Die vorliegende Dissertation beschäftigt sich mit der Anwendung der Theorie der großen Abweichungen auf verschiedene Fragestellungen der stochastischen Analysis und stochastischen Dynamik von Sprungprozessen. Die erste Fragestellung behandelt die erste Austrittszeit aus einem beschränkten Gebiet für eine bestimmte Klasse von Sprungdiffusionen mit exponentiell leichten Sprüngen. In Abhängigkeit von der Leichtheit des Sprungmaßes wird das asymptotische Verhalten der Verteilung und insbesondere der Erwartung der ersten Austrittszeit bestimmt wenn das Rauschen verschwindet. Dabei folgt die
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Chinnici, Marta. "Stochastic self-similar processes and large scale structures." Tesi di dottorato, 2008. http://www.fedoa.unina.it/1993/1/Chinnici_Scienze_Computazionali.pdf.

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Books on the topic "Stochastic processes with large dimension"

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1939-, Tzafestas S. G., and Watanabe Keigo 1952-, eds. Stochastic large-scale engineering systems. M. Dekker, 1992.

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Bosq, Denis. Inference and prediction in large dimensions. John Wiley, 2007.

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Girko, V. L. Statistical analysis of observations of increasing dimension. Kluwer Academic Publishers, 1995.

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G, Kurtz Thomas, ed. Large deviations for stochastic processes. American Mathematical Society, 2006.

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Assing, Sigurd. Continuous strong Markov processes in dimension one: A stochastic calculus approach. Springer, 1998.

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Wentzell, A. D. Limit Theorems on Large Deviations for Markov Stochastic Processes. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-1852-8.

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Wentzell, Alexander D. Limit theorems on large deviations for Markov stochastic processes. Kluwer Academic Publishers, 1990.

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Wentzell, A. D. Limit Theorems on Large Deviations for Markov Stochastic Processes. Springer Netherlands, 1990.

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Vaart, A. W. van der. Statistical estimation in large parameter spaces. CWI, 1987.

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A. W. van der Vaart. Statistical estimation in large parameter spaces. Centre for Mathematics and Computer Science, 1988.

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Book chapters on the topic "Stochastic processes with large dimension"

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Athreya, K. B., and A. Vidyashankar. "Large Deviation Results for Branching Processes." In Stochastic Processes. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4615-7909-0_2.

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Monrad, Ditlev, and Loren D. Pitt. "Local Nondeterminism and Hausdorff Dimension." In Seminar on Stochastic Processes, 1986. Birkhäuser Boston, 1987. http://dx.doi.org/10.1007/978-1-4684-6751-2_12.

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Feng, Jin, and Thomas Kurtz. "Large deviations for stochastic processes." In Mathematical Surveys and Monographs. American Mathematical Society, 2006. http://dx.doi.org/10.1090/surv/131/04.

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Schinazi, Rinaldo B. "Asymmetric and Higher Dimension Random Walks." In Classical and Spatial Stochastic Processes. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1869-0_4.

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Schinazi, Rinaldo B. "Asymmetric and Higher Dimension Random Walks." In Classical and Spatial Stochastic Processes. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-77760-8_7.

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Bakry, Dominique. "Ricci Curvature and Dimension for Diffusion Semigroups." In Stochastic Processes and their Applications. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-2117-7_2.

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Orey, Steven. "Large Deviations in Ergodic Theory." In Seminar on Stochastic Processes, 1984. Birkhäuser Boston, 1986. http://dx.doi.org/10.1007/978-1-4684-6745-1_12.

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Le Jan, Y. "Haussdorf dimension for the statistical equilibrium of stochastics flows." In Stochastic Processes — Mathematics and Physics. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0080218.

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Talagrand, Michel. "The Ultimate Matching Theorem in Dimension ≥3." In Upper and Lower Bounds for Stochastic Processes. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54075-2_15.

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Talagrand, Michel. "The Ultimate Matching Theorem in Dimension 3." In Upper and Lower Bounds for Stochastic Processes. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-82595-9_18.

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Conference papers on the topic "Stochastic processes with large dimension"

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Boukharfane, Radouan, and Nabil El Mo�ayd. "Sensitivity Analysis of Key Parameters in LES-DEM Simulations of Fluidized Bed Systems Using Generalized Polynomial Chaos." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.116388.

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In applications involving fine powders and small particles, the accuracy of numerical simulations, particularly those employing the Discrete Element Method (DEM) to predict granular material behavior, can be significantly affected by uncertainties in critical parameters. These uncertainties include the coefficients of restitution for particle-particle and particle-wall collisions, viscous damping coefficients, and other related factors. In this study, we use stochastic expansions based on point-collocation non-intrusive polynomial chaos to perform a sensitivity analysis of a fluidized bed syst
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Sastry, A. M., C. W. Wang, and L. Berhan. "Deformation and Failure in Stochastic Fibrous Networks: Scale, Dimension and Application." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-2667.

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Abstract Simulating local deformation and failure in stochastic fibrous materials is of interest in a number of key materials technologies, including papers and filters, electrochemical substrates, and biomaterials. The local initiators of both deformation and damage are of key technological interest as they govern the properties of networks, and allow rational design of networks once variance in global properties is reasonable predicted. Here, we examine several key microphenomena associated with failure of these networks, and further, map loading and environmental conditions under which each
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Wang, Yan. "Simulating Stochastic Diffusions by Quantum Walks." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12739.

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Stochastic differential equation (SDE) and Fokker-Planck equation (FPE) are two general approaches to describe the stochastic drift-diffusion processes. Solving SDEs relies on the Monte Carlo samplings of individual system trajectory, whereas FPEs describe the time evolution of overall distributions via path integral alike methods. The large state space and required small step size are the major challenges of computational efficiency in solving FPE numerically. In this paper, a generic continuous-time quantum walk formulation is developed to simulate stochastic diffusion processes. Stochastic
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Zhang, Xin, Xin Li, Xueping Zhang, and Zhenqiang Yao. "Grinding Force Prediction Model by Discretizing Stochastic Grains." In ASME 2023 18th International Manufacturing Science and Engineering Conference. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/msec2023-104618.

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Abstract Material removal process during grinding is the accumulative effect of numerous stochastic grains’ asperity interactions with workpiece, leading to extreme difficulty to predict grinding force. The existing analytical grinding force prediction models primarily focus on representing the stochastic interactions in contact zone using average effective grains number and undeformed chip thickness or assuming ideal distribution law for the stochastic characteristics of grains, which can result in relatively large error in predicting grinding force, whereas the experimentally empirical metho
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Jin, Yuan, Jin Chai, and Olivier Jung. "Automatically Designed Deep Gaussian Process for Turbomachinery Application." In ASME Turbo Expo 2021: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/gt2021-58469.

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Abstract Thanks to their flexibility and robustness to overfitting, Gaussian Processes (GPs) are widely used as black-box function approximators. Deep Gaussian Processes (DGPs) are multilayer generations of GPs. The deep architecture alleviates the kernel dependance of GPs, while complicates model inference. The so-called doubly stochastic variational approach, which does not force the independence between layers, shows its effectiveness in large dataset classification and regression in the literature. Meanwhile, similar to deep neural network, DGPs also require application-specific architectu
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Rezagah, Farideh Ebrahim, Shirin Jalali, Elza Erkip, and H. Vincent Poor. "Rate-distortion dimension of stochastic processes." In 2016 IEEE International Symposium on Information Theory (ISIT). IEEE, 2016. http://dx.doi.org/10.1109/isit.2016.7541665.

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Geiger, Bernhard C., and Tobias Koch. "On the information dimension rate of stochastic processes." In 2017 IEEE International Symposium on Information Theory (ISIT). IEEE, 2017. http://dx.doi.org/10.1109/isit.2017.8006656.

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Buchkovskii, I. A., A. G. Gorkavchuk, M. S. Gavrylyak, and P. P. Maksimyak. "Study of stochastic processes into phase with finite dimension." In SPIE Proceedings, edited by Malgorzata Kujawinska and Oleg V. Angelsky. SPIE, 2008. http://dx.doi.org/10.1117/12.797122.

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Tianhai Tian and K. Burrage. "Parallel implementation of stochastic simulation for large-scale cellular processes." In Eighth International Conference on High-Performance Computing in Asia-Pacific Region (HPCASIA'05). IEEE, 2005. http://dx.doi.org/10.1109/hpcasia.2005.67.

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Morton, David, Bruce Letellier, Jeremy Tejada, et al. "Sensitivity Analyses of a Simulation Model for Estimating Fiber-Induced Sump Screen and Core Failure Rates." In 2014 22nd International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/icone22-30917.

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Output from a high-order simulation model with random inputs may be difficult to fully evaluate absent an understanding of sensitivity to the inputs. We describe, and apply, a sensitivity analysis procedure to a large-scale computer simulation model of the processes associated with Nuclear Regulatory Commission (NRC) Generic Safety Issue (GSI) 191. Our GSI-191 simulation model has a number of distinguishing features: (i) The model is large in scale in that it has a high-dimensional vector of inputs; (ii) some model inputs are governed by probability distributions; (iii) a key model output is t
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Reports on the topic "Stochastic processes with large dimension"

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Jury, William A., and David Russo. Characterization of Field-Scale Solute Transport in Spatially Variable Unsaturated Field Soils. United States Department of Agriculture, 1994. http://dx.doi.org/10.32747/1994.7568772.bard.

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This report describes activity conducted in several lines of research associated with field-scale water and solute processes. A major effort was put forth developing a stochastic continuum analysis for an important class of problems involving flow of reactive and non reactive chemicals under steady unsaturated flow. The field-scale velocity covariance tensor has been derived from local soil properties and their variability, producing a large-scale description of the medium that embodies all of the local variability in a statistical sense. Special cases of anisotropic medium properties not alig
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Gonzalez Diez, Verónica M. Resettlement Processes and their Socioeconomic Impact: Porce II Hydroelectric Project, Colombia. Inter-American Development Bank, 2011. http://dx.doi.org/10.18235/0010448.

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This evaluation conducted a comprehensive analysis of the long-term socioeconomic impact on the resettled population in the context of the Porce II Hydroelectric Project in Antioquia, Colombia. The evaluation's results highlight the formalization of landholdings, as well as quality improvements in housing and access to public and social services in the resettlement. Ethnographic workshops documented the use and enjoyment of the homes and common areas. There were also positive trends in terms of the educational levels in the resettlement. Results showed the resettled families' ability to adapt
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Mizrahi, Itzhak, and Bryan A. White. Uncovering rumen microbiome components shaping feed efficiency in dairy cows. United States Department of Agriculture, 2015. http://dx.doi.org/10.32747/2015.7600020.bard.

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Ruminants provide human society with high quality food from non-human-edible resources, but their emissions negatively impact the environment via greenhouse gas production. The rumen and its resident microorganisms dictate both processes. The overall goal of this project was to determine whether a causal relationship exists between the rumen microbiome and the host animal's physiology, and if so, to isolate and examine the specific determinants that enable this causality. To this end, we divided the project into three specific parts: (1) determining the feed efficiency of 200 milking cows, (2)
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Snyder, Victor A., Dani Or, Amos Hadas, and S. Assouline. Characterization of Post-Tillage Soil Fragmentation and Rejoining Affecting Soil Pore Space Evolution and Transport Properties. United States Department of Agriculture, 2002. http://dx.doi.org/10.32747/2002.7580670.bard.

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Tillage modifies soil structure, altering conditions for plant growth and transport processes through the soil. However, the resulting loose structure is unstable and susceptible to collapse due to aggregate fragmentation during wetting and drying cycles, and coalescense of moist aggregates by internal capillary forces and external compactive stresses. Presently, limited understanding of these complex processes often leads to consideration of the soil plow layer as a static porous medium. With the purpose of filling some of this knowledge gap, the objectives of this Project were to: 1) Identif
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