Results 11 to 20 of about 3,659,418 (206)
Remarks on Differential Inclusion limits of Stochastic Approximation [PDF]
, 2023 For stochastic approximation algorithms with discontinuous dynamics, it is shown that under suitable distributional assumptions, the interpolated iterates track a Fillipov solution of the limiting differential inclusion. In addition, we give an alternative control theoretic approach to recent results of [7] on certain limiting empirical measures ...
Borkar, Vivek, Shah, Dhruv
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Asymptotic behaviours of stochastic differential delay equations [PDF]
, 2005 Most of the existing results on stochastic stability use a single Lyapunov function, but we shall instead use multiple Lyapunov functions in this paper.
Shen, Yi +3 more
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Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases
Complexity, 2021 We study in this paper the trends of the evolution of different infections using a SIR flow (first-order ODE system), completed by a differential inclusion, a geodesic motion in a gyroscopic field of forces, and a stochastic SIR perturbation of the flow (
C. Udriste, I. Tevy, A. S. Rasheed
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Complexity, 2023 In this paper, the pth moment exponential synchronization problems of drive-response stochastic memristor neural networks are studied via a state feedback controller.
Xiaobo Wang +3 more
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Time lag analysis of novel arithmetic modeling in breast cancer [PDF]
Computational Ecology and Software, 2021 In this paper, a mathematical model which considers population dynamics among infected and uninfected cancer tumor cells has been proposed. Delay differential equations have been utilized to demonstrate the framework to consider the periods of the cell ...
Kalyan Das +3 more
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On stochastic differential equations and a generalised Burgers equation [PDF]
, 2012 In this paper, we discuss a link of Itˆo’s stochastic differential equa- tions to nonlinear partial differential equations of Burgers type. Un- der certain conditions, we derive a generalised Burgers equation from a stochastic differential equation.
Wu, JiangLun, Yang, Wei
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Stochastic differential equation model for cerebellar granule cell excitability. [PDF]
PLoS Computational Biology, 2008 Neurons in the brain express intrinsic dynamic behavior which is known to be stochastic in nature. A crucial question in building models of neuronal excitability is how to be able to mimic the dynamic behavior of the biological counterpart accurately and
Antti Saarinen +2 more
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Approximate solutions of stochastic differential delay equations with Markovian switching [PDF]
, 2010 Our main aim is to develop the existence theory for the solutions to stochastic differential delay equations with Markovian switching (SDDEwMSs) and to establish the convergence theory for the Euler-Maruyama approximate solutions under the local ...
Li, Xiaoyue, Shen, Yi, Mao, Xuerong
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Mathematics, 2022 The work is dedicated to mathematical modelling of random diffusion flows of admixture particles in a two-phase stratified strip with stochastic disposition of phases and random thickness of inclusion-layers.
Olha Chernukha +4 more
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Stochastic Langevin Differential Inclusions with Applications to Machine Learning
CoRR, 2022 Stochastic differential equations of Langevin-diffusion form have received significant attention, thanks to their foundational role in both Bayesian sampling algorithms and optimization in machine learning. In the latter, they serve as a conceptual model of the stochastic gradient flow in training over-parameterized models.
Fabio V. Difonzo +2 more
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