Error Bound of Mode-Based Additive Models [PDF]
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
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A precise error bound for quantum phase estimation. [PDF]
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
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New global error bound for extended linear complementarity problems [PDF]
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
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Higher-order error bound for the difference of two functions [PDF]
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
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Multi-Target Joint Detection and Estimation Error Bound for the Sensor with Clutter and Missed Detection [PDF]
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
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A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals [PDF]
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
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Dynamic Orthogonal Matching Pursuit for Sparse Data Reconstruction
The orthogonal matching pursuit (OMP) is one of the mainstream algorithms for sparse data reconstruction or approximation. It acts as a driving force for the development of several other greedy methods for sparse data reconstruction, and it also plays a ...
Yun-Bin Zhao, Zhi-Quan Luo
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New error bounds for the tensor complementarity problem
This paper discusses new error bounds for the tensor complementarity problem using a P-tensor. A new lower error bound and a global error bound are presented for such a problem.
Xin Liu, Guang-Xin Huang
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Recovery-Based Error Estimator for Natural Convection Equations Based on Defect-Correction Methods
In this paper, we propose an adaptive defect-correction method for natural convection (NC) equations. A defect-correction method (DCM) is proposed for solving NC equations to overcome the convection dominance problem caused by a high Rayleigh number.
Lulu Li, Haiyan Su, Xinlong Feng
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Quadratic error bound of the smoothed gap and the restarted averaged primal-dual hybrid gradient
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
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