Results 11 to 20 of about 1,943,358 (273)
Noncommutative geometry and stochastic processes [PDF]
, 2017 The recent analysis on noncommutative geometry, showing quantization of the volume for the Riemannian manifold entering the geometry, can support a view of quantum mechanics as arising by a stochastic process on it. A class of stochastic processes can be
A Dimakis +13 more
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Information Geometry of Nonlinear Stochastic Systems [PDF]
Entropy, 2018 We elucidate the effect of different deterministic nonlinear forces on geometric structure of stochastic processes by investigating the transient relaxation of initial PDFs of a stochastic variable x under forces proportional to -xn (n=3,5,7) and ...
Rainer Hollerbach +2 more
doaj +6 more sources
U-statistics in stochastic geometry [PDF]
, 2015 This survey will appear as a chapter of the forthcoming book [19]. A U-statistic of order $k$ with kernel $f:\X^k \to \R^d$ over a Poisson process is defined in \cite{ReiSch11} as$$ \sum\_{x\_1, \dots , x\_k \in \eta^k\_{\neq}} f(x\_1, \dots, x\_k ...
Lachèze-Rey, Raphaël +1 more
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Information Geometry on Complexity and Stochastic Interaction [PDF]
Entropy, 2015 Interdependencies of stochastically interacting units are usually quantified by the Kullback-Leibler divergence of a stationary joint probability distribution on the set of all configurations from the corresponding factorized distribution.
Nihat Ay
doaj +2 more sources
Stochastic geometry to generalize the Mondrian Process [PDF]
SIAM Journal on Mathematics of Data Science, 2020 The Mondrian process is a stochastic process that produces a recursive partition of space with random axis-aligned cuts. Random forests and Laplace kernel approximations built from the Mondrian process have led to efficient online learning methods and ...
Eliza O'Reilly, N. Tran
semanticscholar +5 more sources
Homogenization in Stochastic Differential Geometry
Publications of the Research Institute for Mathematical Sciences, 1981 It is well known that a diffusion process on Euclidean space can be rigorously considered as the limit of a sequence of transport processes. This idea, which dates at least to Rayleigh's problem of random flight [3] has now received a general treatment by modern probabilistic methods [2, 10].
Mark A. Pinsky
openalex +4 more sources
Novel 3D Geometry-Based Stochastic Models for Non-Isotropic MIMO Vehicle-to-Vehicle Channels [PDF]
IEEE Transactions on Wireless Communications, 2023 This paper proposes a novel three-dimensional (3D) theoretical regular-shaped geometry-based stochastic model (RS-GBSM) and the corresponding sum-of-sinusoids (SoS) simulation model for non-isotropic multiple-input multiple-output (MIMO) vehicle-to ...
Yi Yuan +4 more
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Evaluating the Accuracy of Stochastic Geometry Based Models for LEO Satellite Networks Analysis [PDF]
IEEE Communications Letters, 2022 This letter investigates the accuracy of recently proposed stochastic geometry-based modeling of low earth orbit (LEO) satellite networks. In particular, we use the Wasserstein Distance-inspired method to analyze the distances between different models ...
Ruibo Wang +2 more
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Stochastic Geometry and Its Applications
Biometrics, 1989 S. Chiu, D. Stoyan, W. Kendall, J. Mecke
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Performance Analysis of RIS-Assisted Large-Scale Wireless Networks Using Stochastic Geometry [PDF]
IEEE Transactions on Wireless Communications, 2022 In this paper, we investigate the performance of a reconfigurable intelligent surface (RIS) assisted large-scale network by characterizing the coverage probability and the average achievable rate using stochastic geometry.
Tianxiong Wang +3 more
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