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Error Bound of Mode-Based Additive Models [PDF]
Entropy, 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
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A precise error bound for quantum phase estimation. [PDF]
PLoS 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
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New global error bound for extended linear complementarity problems [PDF]
Journal 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
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Higher-order error bound for the difference of two functions [PDF]
Journal 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
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Multi-Target Joint Detection and Estimation Error Bound for the Sensor with Clutter and Missed Detection [PDF]
Sensors, 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
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An improved error bound for linear complementarity problems for B-matrices [PDF]
Journal 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
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A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals [PDF]
International 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
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Quadratic error bound of the smoothed gap and the restarted averaged primal-dual hybrid gradient
Open 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
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Optimal Recovery of Missing Values for Non-Negative Matrix Factorization
IEEE Open Journal of Signal Processing, 2021 Missing values imputation is often evaluated on some similarity measure between actual and imputed data. However, it may be more meaningful to evaluate downstream algorithm performance after imputation than the imputation itself.
Rebecca Chen Dean, Lav R. Varshney
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Mathematics, 2023 In this research, we provide sufficient conditions to prove the existence of local and global solutions for the general two-dimensional nonlinear fractional integro-differential equations. Furthermore, we prove that these solutions are unique.
Tahereh Eftekhari, Jalil Rashidinia
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