Results 21 to 30 of about 57 (56)
Multi‐sensor particle filtering with multi‐step randomly delayed measurements
IET Science, Measurement &Technology, Volume 15, Issue 1, Page 35-43, January 2021., 2021 Abstract This paper develops particle filtering for multi‐sensor systems with randomly delayed measurements, where the general case that random delay can be multi‐step rather than one‐step or two‐step is considered. Moreover, different sensors can have different delay steps and delay probabilities.
Yunqi Chen, Zhibin Yan
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A probabilistic diagnostic for Laplace approximations: Introduction and experimentation
Canadian Journal of Statistics, Volume 53, Issue 4, December 2025.Abstract Many models require integrals of high‐dimensional functions: for instance, to obtain marginal likelihoods. Such integrals may be intractable, or too expensive to compute numerically. Instead, we can use the Laplace approximation (LA). The LA is exact if the function is proportional to a normal density; its effectiveness therefore depends on ...
Shaun McDonald, Dave Campbell
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IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.The impetus of this work is to develop a more accurate filter, the Gaussian sum adaptive sparse grid quadrature filter, which can be applied to non‐linear non‐Gaussian systems. Based on the Gaussian sum filter framework, the sparse grid quadrature filter is used as a sub‐filter to complete the filtering, and a weighting function is created to ...
Chen Qian +3 more
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IET Renewable Power Generation, Volume 19, Issue 1, January/December 2025.Accurate state estimation is paramount for the smooth operation and management of power systems, significantly contributing to their safety, stability, and reliability. However, the presence of channel noise and outliers stemming from phasor measurement units renders the noise model a deviation from the Gaussian distribution. To mitigate this challenge,
Mingyang Liu +4 more
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Orthogonal Laurent Polynomials of Two Real Variables
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT In this paper, we consider an appropriate ordering of the Laurent monomials xiyj$x^{i}y^{j}$, i,j∈Z$i,j \in \mathbb {Z}$ that allows us to study sequences of orthogonal Laurent polynomials of the real variables x$x$ and y$y$ with respect to a positive Borel measure μ$\mu$ defined on R2$\mathbb {R}^2$ such that ({x=0}∪{y=0})∩supp(μ)=∅$(\lbrace ...
Ruymán Cruz‐Barroso, Lidia Fernández
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Fuzzy Consensus Cubature Information Filtering for Space Target Tracking
International Journal of Aerospace Engineering, Volume 2025, Issue 1, 2025.A fuzzy distributed nonlinear state estimation issue on the possibilistic framework is investigated in this paper. Firstly, unlike the Gaussian probability distributions on the traditional probability framework, the noises are modeled as fuzzy random variables (FRVs) with trapezoidal possibility distributions (TPDs), and then a fuzzy cubature paradigm ...
Xiaobo Zhang +5 more
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IET Radar, Sonar &Navigation, Volume 18, Issue 9, Page 1494-1514, September 2024.Two distributed algorithms based on factor graphs are proposed, utilising multiple CubeSats angle measurements for the orbit determination of the non‐cooperative spacecraft. The algorithms are applied to the sub‐parent and distributed cluster spacecraft architectures, respectively.
Zhixun Zhang +4 more
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International Journal of Chemical Engineering, Volume 2024, Issue 1, 2024.This study mathematically examines chemical and biomaterial models by employing the finite element method. Unshaped biomaterials’ complex structures have been numerically analyzed using Gaussian quadrature rules. It has been analyzed for commercial benefits of chemical engineering and biomaterials as well as biorefinery fields.
T. M. Mamatha +6 more
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A Bayesian Structural Modal Updating Method Based on Sparse Grid and Ensemble Kalman Filter
Structural Control and Health Monitoring, Volume 2024, Issue 1, 2024.This study presents a sparse grid interpolation and ensemble Kalman filter (EnKF)‐based Markov Chain Monte Carlo (MCMC) method (SG‐EnMCMC). Initiating with the formulation of a recursive equation for the state space vector, derived from the structural dynamic equation, this study adopts a dimensionality reduction strategy.
Guangwei Lin +5 more
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Computation of tightly-focused laser beams in the FDTD method. [PDF]
Opt Express, 2013 Capoğlu IR, Taflove A, Backman V.
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