Reduced order modeling of random linear dynamical systems based on a new a posteriori error bound
Sign Up to like & getrecommendations! Published in 2018 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.5942
Abstract: Reduced order models (ROMs) are becoming increasingly useful for saving computational cost in response prediction of vibrating systems. In a number of applications such as uncertainty quantification, ROMs require robustness over a wide variation of… read more here.
Keywords: error; reduced order; error bound; posteriori error ... See more keywords
An Efficient DWR-Type a Posteriori Error Bound of SDFEM for Singularly Perturbed Convection–Diffusion PDEs
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-021-01749-9
Abstract: This article deals with the residual-based a posteriori error estimation in the standard energy norm for the streamline-diffusion finite element method (SDFEM) for singularly perturbed convection–diffusion equations. The well-known dual-weighted residual (DWR) technique has been… read more here.
Keywords: error bound; posteriori error; sdfem singularly; diffusion ... See more keywords
Synchronization of Heterogeneous Partially Coupled Networks with Heterogeneous Impulses
Sign Up to like & getrecommendations! Published in 2017 at "Neural Processing Letters"
DOI: 10.1007/s11063-017-9735-y
Abstract: This paper discusses quasi-synchronization problem in an array of heterogeneous partially coupled dynamical networks. At first, based on the Lyapunov stability theorem and the comparison principle, sufficient quasi-synchronization criteria are presented such that the proposed… read more here.
Keywords: synchronization heterogeneous; heterogeneous impulses; networks heterogeneous; heterogeneous partially ... See more keywords
Revision of the Asymptotic Method and the Error Bound Validation
Sign Up to like & getrecommendations! Published in 2019 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2019.06.060
Abstract: Abstract This paper proposes changes to the Asymptotic identification method (ASYM): the use of high order models of different PEM structures with an optimal order, aiming to improve the numerical stability and the quality of… read more here.
Keywords: method; revision asymptotic; error bound; bound validation ... See more keywords
Error bound of magnitude-preserving ranking with Fredholm kernel
Sign Up to like & getrecommendations! Published in 2018 at "Neurocomputing"
DOI: 10.1016/j.neucom.2017.07.049
Abstract: Abstract Data-dependent Fredholm kernel has attracted much attention in machine learning literatures for its flexibility to utilize the empirical information. However, the previous theoretical results are limited to the classification or density ratio estimation problems.… read more here.
Keywords: ranking fredholm; error bound; preserving ranking; fredholm kernel ... See more keywords
Universal Error Bound for Constrained Quantum Dynamics.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.124.210606
Abstract: It is well known in quantum mechanics that a large energy gap between a Hilbert subspace of specific interest and the remainder of the spectrum can suppress transitions from the quantum states inside the subspace… read more here.
Keywords: universal error; constrained quantum; bound constrained; quantum dynamics ... See more keywords
Filtered-x Set Membership Algorithm With Time-Varying Error Bound for Nonlinear Active Noise Control
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3201135
Abstract: In order to reduce the computational complexity for nonlinear Active Noise Control (ANC) systems, we propose a filtered-x set membership with a time-varying error bound (Fx-SM-VEB) algorithm based on the adaptive approximation principle and data-selective… read more here.
Keywords: time varying; noise; varying error; error bound ... See more keywords
Localizability With Range-Difference Measurements: Numerical Computation and Error Bound Analysis
Sign Up to like & getrecommendations! Published in 2022 at "IEEE/ACM Transactions on Networking"
DOI: 10.1109/tnet.2022.3162930
Abstract: This paper studies the localization problem using noisy range-difference measurements, or equivalently time difference of arrival (TDOA) measurements. There is a reference sensor, and for each other sensor, the TDOA measurement is obtained with respect… read more here.
Keywords: difference measurements; lagrange multiplier; error bound; error ... See more keywords
An improved error bound for linear complementarity problems for B-matrices
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1414-z
Abstract: A new error bound for the linear complementarity problem when the matrix involved is a B-matrix is presented, which improves the corresponding result in (Li et al. in Electron. J. Linear Algebra 31(1):476-484, 2016). In… read more here.
Keywords: linear complementarity; error bound; bound linear;
Optimal error bound and modified kernel method for a space-fractional backward diffusion problem
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Difference Equations"
DOI: 10.1186/s13662-018-1728-2
Abstract: In this paper, we consider a backward problem for a space-fractional diffusion equation. This problem is ill-posed, i.e., the solution does not depend continuously on the data. The optimal error bound for the problem under… read more here.
Keywords: backward; space fractional; modified kernel; optimal error ... See more keywords
Error Bound of Mode-Based Additive Models
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DOI: 10.3390/e23060651
Abstract: Due to their flexibility and interpretability, additive models are powerful tools for high-dimensional mean regression and variable selection. However, the least-squares loss-based mean regression models suffer from sensitivity to non-Gaussian noises, and there is also… read more here.
Keywords: additive models; regression; bound mode; error bound ... See more keywords