Results 51 to 60 of about 2,531 (180)
Cubature Formulae and Polynomial Ideals
Advances in Applied Mathematics, 1999 The main purpose of this paper is to study the structure of cubature formulae using the notion of a polynomial ideal and its variety. The author proves that if \(I\) is a polynomial ideal generated by a proper set of \((2n-1)\) orthogonal polynomials and if the cardinality of the variety \(V(I)\) is equal to the codimension of \(I\), then there exists ...
openaire +1 more source
IET Radar, Sonar &Navigation, Volume 20, Issue 1, January/December 2026.To address the limitations of existing wireless and inertial navigation systems, this paper proposes a high‐precision integrated positioning scheme based on particle filtering. The method introduces a high‐weight particle neighbourhood attraction mechanism to solve the common issue of particle degeneracy.
Yanbiao Gao, Zhongliang Deng
wiley +1 more source
BP Neural Network–Based Kalman Filtering Method Under Multiple Cyberattacks
IET Signal Processing, Volume 2026, Issue 1, 2026.This paper proposes a Kalman‐gain‐driven neural Kalman filtering (KF) defense framework, termed KFDBP, for secure state estimation in cyber–physical systems (CPSs) under denial‐of‐service (DoS), spoofing, and replay attacks. Unlike end‐to‐end neural filtering approaches such as KalmanNet that directly learn state estimators or implicitly approximate ...
Zijing Li +7 more
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Cubature Formulas for Oscillatory Integrals with Given Function Traces on Lines
Кібернетика та комп'ютерні технологіїIntroduction. Numerical integration of rapidly oscillating multivariable functions plays an important role in applied mathematics, particularly in image processing, computed tomography, and mathematical modeling.
Yevheniia Khurdei, Vladyslav Ivanov
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From low to high-dimensional moments without magic
, 2017 We aim to compute the first few moments of a high-dimensional random vector from the first few moments of a number of its low-dimensional projections.
Bodmann, Bernhard G. +2 more
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IET Signal Processing, Volume 2026, Issue 1, 2026.The implementation of Kalman filter (KF) in tracking high‐dimensional, strongly correlated graph structured data is often complex and unstable. Meanwhile, in practical applications, the system may be subject to interference from non‐Gaussian noise and various cyberattacks.
Bingyu Yin, Xinmin Song, Wenling Li
wiley +1 more source
Weighted Optimal Quadrature Formulas in Sobolev Space and Their Applications
AlgorithmsThe optimization of computational algorithms is one of the main problems of computational mathematics. This optimization is well demonstrated by the example of the theory of quadrature and cubature formulas.
Kholmat Shadimetov, Khojiakbar Usmanov
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Discrete Fourier analysis with lattices on planar domains
, 2009 A discrete Fourier analysis associated with translation lattices is developed recently by the authors. It permits two lattices, one determining the integral domain and the other determining the family of exponential functions.
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
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Journal of Engineering, Volume 2026, Issue 1, 2026.Vehicle sideslip angle is one of the irreplaceable variable indicators for evaluating vehicle stability. However, it is difficult to directly measure vehicle sideslip angle with onboard sensors. In order to obtain precise vehicle sideslip angle using onboard sensors, a novel observation strategy based on fusion of steady‐state model method and square ...
Zhendong Zhu +3 more
wiley +1 more source