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Quantifying the noise of a quantum channel by noise addition [PDF]
Physical Review A, 2012 In this paper we introduce a way to quantify the noise level associated to a given quantum transformation. The key mechanism lying at the heart of the proposal is "noise addition": in other words we compute the amount of extra noise we need to add to the system, through convex combination with a reference noisy map or by reiterative applications of the
DE PASQUALE A, GIOVANNETTI, VITTORIO
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Detection and Estimation of Abrupt Changes contaminated by Multiplicative Gaussian Noise [PDF]
, 1998 The problem of abrupt change detection has received much attention in the literature. The Neyman Pearson detector can be derived and yields the well-known CUSUM algorithm, when the abrupt change is contaminated by an additive noise.
Jean-Yves Tourneret +1 more
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Enhancing Image Quality via Robust Noise Filtering Using Redescending M-Estimators
Entropy, 2023 In the field of image processing, noise represents an unwanted component that can occur during signal acquisition, transmission, and storage. In this paper, we introduce an efficient method that incorporates redescending M-estimators within the framework
Ángel Arturo Rendón-Castro +3 more
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Open Mathematics, 2019 In this paper we study the asymptotic behavior for a class of stochastic retarded strongly damped wave equation with additive noise on a bounded smooth domain in ℝd. We get the existence of the random attractor for the random dynamical systems associated
Jia Xiaoyao, Ding Xiaoquan
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Approximations of center manifolds for delay stochastic differential equations with additive noise
Advances in Nonlinear Analysis, 2023 This article deals with approximations of center manifolds for delay stochastic differential equations with additive noise. We first prove the existence and smoothness of random center manifolds for these approximation equations. Then we show that the Ck{
Wu Longyu +3 more
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Dynamical behaviors of stochastic local Swift-Hohenberg equation on unbounded domain
Journal of Inequalities and Applications, 2016 In this paper, we first study the deterministic Swift-Hohenberg equation on a bounded domain. After obtaining some a priori estimates by the uniform Gronwall inequality, we prove the existence of an attractor by the Sobolev compact embeddings.
CX Guo, YY Chen, YF Guo
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The effect of additive noise on dynamical hysteresis [PDF]
Nonlinearity, 2002 Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Berglund, Nils, Gentz, Barbara
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Numerical simulation of a linear stochastic oscillator with additive noise [PDF]
, 2004 The ability of numerical methods to reproduce long-time features of a linear stochastic oscillator is examined. It is shown that certain, widely-used, methods fail to capture the correct second moment growth rate, whereas a customized extension of the ...
Strømmen Melbø, A.H., Higham, D.J.
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Detection of multiplicative noise in stationary random processes using second- and higher order statistics [PDF]
, 2000 This paper addresses the problem of detecting the presence of colored multiplicative noise, when the information process can be modeled as a parametric ARMA process.
Coulon, Martial +2 more
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Pathwise McKean-Vlasov theory with additive noise [PDF]
, 2018 We take a pathwise approach to classical McKean-Vlasov stochastic differential equations with additive noise, as e.g. exposed in Sznitmann [34]. Our study was prompted by some concrete problems in battery modelling [19], and also by recent progress on ...
Maurelli, Mario +8 more
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