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Error Bound of Mode-Based Additive Models [PDF]

open access: yesEntropy, 2021
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 ...
Hao Deng   +3 more
doaj   +2 more sources

A precise error bound for quantum phase estimation. [PDF]

open access: yesPLoS ONE, 2011
Quantum phase estimation is one of the key algorithms in the field of quantum computing, but up until now, only approximate expressions have been derived for the probability of error.
James M Chappell   +4 more
doaj   +2 more sources

New global error bound for extended linear complementarity problems [PDF]

open access: yesJournal of Inequalities and Applications, 2018
For the extended linear complementarity problem (ELCP), by virtue of a new residual function, we establish a new type of global error bound under weaker conditions.
Hongchun Sun, Min Sun, Yiju Wang
doaj   +2 more sources

Higher-order error bound for the difference of two functions [PDF]

open access: yesJournal of Inequalities and Applications, 2018
Error bounds play an important role in the research of mathematical programming. Using some techniques of nonsmooth analysis, we establish some results on the existence of higher-order error bounds for difference functions with set constraints.
Hui Huang, Mengxue Xia
doaj   +2 more sources

Multi-Target Joint Detection and Estimation Error Bound for the Sensor with Clutter and Missed Detection [PDF]

open access: yesSensors, 2016
The error bound is a typical measure of the limiting performance of all filters for the given sensor measurement setting. This is of practical importance in guiding the design and management of sensors to improve target tracking performance.
Feng Lian   +3 more
doaj   +2 more sources

An improved error bound for linear complementarity problems for B-matrices [PDF]

open access: yesJournal of Inequalities and Applications, 2017
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).
Lei Gao, Chaoqian Li
doaj   +2 more sources

Error Bound for Conic Inequality in Hilbert Spaces [PDF]

open access: yesAbstract and Applied Analysis, 2014
We consider error bound issue for conic inequalities in Hilbert spaces. In terms of proximal subdifferentials of vector-valued functions, we provide sufficient conditions for the existence of a local error bound for a conic inequality.
Jiangxing Zhu, Qinghai He, Jinchuan Lin
doaj   +2 more sources

Memorized error and varying error bound for extending adaptiveness for normalized subband adaptive filtering

open access: yesAlexandria Engineering Journal, 2018
This paper extends the adaptive normalized sub-band adaptive filtering (NSAF) by introducing variable error bound and memorizing the error convergence. The variable error bound attempts to vary the updating point of the filter coefficients.
B. Samuyelu, P. Rajesh Kumar
doaj   +2 more sources

A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences, 2023
This article is fully devoted to the numerical approximation of Cauchy-type integrals in the complex plane. A class of degree eight quadrature rules is formulated from a family of Gauss-type two-point rules based on the method of extrapolation. The basic
Arup Kumar Saha   +2 more
doaj   +1 more source

Quadratic error bound of the smoothed gap and the restarted averaged primal-dual hybrid gradient

open access: yesOpen Journal of Mathematical Optimization, 2023
We study the linear convergence of the primal-dual hybrid gradient method. After a review of current analyses, we show that they do not explain properly the behavior of the algorithm, even on the most simple problems.
Fercoq, Olivier
doaj   +1 more source

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