Results 21 to 30 of about 1,235,951 (289)
Exact Mean Square Linear Stability Analysis for SGD
, 2023 The dynamical stability of optimization methods at the vicinity of minima of the loss has recently attracted significant attention. For gradient descent (GD), stable convergence is possible only to minima that are sufficiently flat w.r.t. the step size, and those have been linked with favorable properties of the trained model.
Mulayoff, Rotem, Michaeli, Tomer
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Mean-Square Stability of Milstein Methods for Stochastic Pantograph Equations [PDF]
Mathematical Problems in Engineering, 2013 This paper deals with nonlinear stochastic pantograph equations. For solving the equations, a class of extended Milstein methods are suggested. A mean-square stability criterion for this type of equations is presented. It is proved that under the suitable conditions the Milstein methods preserve the mean-square stability.
Feiyan Xiao +2 more
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Advances in Difference Equations, 2021 In this paper a model of Hopfield’s graded response neural network is investigated. A network whose neurons are subject to a certain impulsive state displacement at random times is considered. The model is set up and studied.
R. Agarwal +3 more
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Instabilities of the harmonic oscillator with fluctuating damping [PDF]
, 2011 We investigate the instabilities of a linear damped oscillator due to fluctuations of the damping parameter. The fluctuations are driven either by Gaussian white noise or Poisson white noise (white shot noise). We consider three notions of stability. The
Campos, Daniel +3 more
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Distributed Local Linear Parameter Estimation using Gaussian SPAWN [PDF]
, 2014 We consider the problem of estimating local sensor parameters, where the local parameters and sensor observations are related through linear stochastic models. Sensors exchange messages and cooperate with each other to estimate their own local parameters
Leng, Mei +3 more
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The Improved Stability Analysis of Numerical Method for Stochastic Delay Differential Equations
Mathematics, 2022 In this paper, the improved split-step θ method, named the split-step composite θ method, is proposed to study the mean-square stability for stochastic differential equations with a fixed time delay.
Yu Zhang, Enying Zhang, Longsuo Li
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Practical exponential stability in mean square of stochastic partial differential equations [PDF]
, 2014 The main aim of this paper is to establish some criteria for the mean square and almost sure practical exponential stability of a nonlinear monotone stochastic partial differential ...
Caraballo Garrido, Tomás +2 more
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Multi-condition of stability for nonlinear stochastic non-autonomous delay differential equation [PDF]
, 2018 A nonlinear stochastic differential equation with the order of nonlinearity higher than one, with several discrete and distributed delays and time varying coefficients is considered.
Shaikhet, Leonid
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Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays
Abstract and Applied Analysis, 2012 This paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable.
Manlika Rajchakit, Grienggrai Rajchakit
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Diffusion LMS for clustered multitask networks [PDF]
, 2013 Recent research works on distributed adaptive networks have intensively studied the case where the nodes estimate a common parameter vector collaboratively.
Chen, Jie, Richard, Cédric, Sayed, Ali
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