Results 11 to 20 of about 661,238 (311)
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
wiley +1 more source
Architected Lattices with a Topological Transition
Advanced Engineering Materials, EarlyView., 2023 This article develops topological metamaterials showing multidirectional two‐step deformation under compression by embedding contact‐enabled topological mechanisms into lattice structures. Experiments on 3D‐printed 2D and 3D lattices and finite element simulations are conducted to demonstrate the working principle of the topological metamaterials.
Shivam Agarwal, Lihua Jin
wiley +1 more source
A Stochastic Approach for Parameterizing Unresolved Scales in a System with Memory
Journal of Algorithms & Computational Technology, 2009 Complex systems display variability over a broad range of spatial and temporal scales. Some scales are unresolved due to computational limitations. The impact of these unresolved scales on the resolved scales needs to be parameterized or taken into ...
Aijun Du, Jinqiao Duan
doaj +1 more source
Hölder estimates of mild solutions for nonlocal SPDEs
Advances in Difference Equations, 2019 We consider nonlocal PDEs driven by additive white noises on Rd ${\mathbb{R}}^{d}$. For Lq $L^{q}$ integrable coefficients, we derive the existence and uniqueness, as well as Hölder continuity, of mild solutions.
Rongrong Tian +3 more
doaj +1 more source
Известия Иркутского государственного университета: Серия "Математика", 2021 The article considers second-order system of linear stochastic partial differential equations of hyperbolic type with Goursat boundary conditions. Earlier, in a number of papers, representations of the solution Goursat problem for linear stochastic ...
K.B. Mansimov, R.O. Mastaliyev
doaj +1 more source
Using generalized stochastic method to evaluate probability of conflict in controlled air traffic
Aviation, 2007 The introduction of the new concepts of air traffic management (ATM) and transition from centralized to decentralized air traffic control (ATC) with the change of traditional ATM to Cooperative ATM sets new tasks and opens new capabilities for air ...
Vitaly Babak +2 more
doaj +1 more source
Analytically weak solutions to SPDEs with unbounded time-dependent differential operators and an application [PDF]
, 2013 We analyze the concepts of analytically weak solutions of stochastic differential equations (SDEs) in Hilbert spaces with time-dependent unbounded operators and give conditions for existence and uniqueness of such solutions.
Baur, Benedict +2 more
core +3 more sources
The Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation
Results in Physics, 2021 In this article, we consider the nonlinear stochastic Wick-type fractional Gardner equation and the generalized fractional Gardner equation with coefficient variables.
Jin Hyuk Choi, Hyunsoo Kim
doaj
Large deviations of conservative stochastic partial differential equations [PDF]
arXiv, 2023 In this paper, we establish a large deviation principle for the conservative stochastic partial differential equations, whose solutions are related to stochastic differential equations with interaction. The weak convergence method and the contraction principle in the theory of large deviations play an important role.
arxiv
Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï, 2018 This paper considers the asymptotic behavior of the strong solution of the linear partial stochastic differential Ito–Skorokhod equation in the corresponding space with random parameters.
Volodymyr K. Yasynskyy +1 more
doaj +1 more source