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Error bounds for linear complementarity problems of weakly chained diagonally dominant B-matrices [PDF]
Journal of Inequalities and Applications, 2017 In this paper, new error bounds for the linear complementarity problem are obtained when the involved matrix is a weakly chained diagonally dominant B-matrix. The proposed error bounds are better than some existing results.
Feng Wang
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Quantum metrology with open dynamical systems
New Journal of Physics, 2013 This paper studies quantum limits to dynamical sensors in the presence of decoherence. A modified purification approach is used to obtain tighter quantum detection and estimation error bounds for optical phase sensing and optomechanical force sensing ...
Mankei Tsang
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Characterizations of Stability of Error Bounds for Convex Inequality Constraint Systems
Open Journal of Mathematical Optimization, 2022 In this paper, we mainly study error bounds for a single convex inequality and semi-infinite convex constraint systems, and give characterizations of stability of error bounds via directional derivatives. For a single convex inequality, it is proved that
Wei, Zhou, Théra, Michel, Yao, Jen-Chih
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New perspectives on covariant quantum error correction [PDF]
Quantum, 2021 Covariant codes are quantum codes such that a symmetry transformation on the logical system could be realized by a symmetry transformation on the physical system, usually with limited capability of performing quantum error correction (an important case ...
Sisi Zhou, Zi-Wen Liu, Liang Jiang
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On Robust Global Error Bounds for a Class of Uncertain Piecewise Linear Inequality Systems
Axioms, 2022 This paper is concerned with the radius of robust global error bounds for an uncertain piecewise linear inequality system where the uncertain data are assumed to be in polytope uncertain sets.
Wen Tan, Xiaole Guo, Xiangkai Sun
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Basic bounds on cluster error using distortion-rate
Machine Learning with Applications, 2021 Clustering is a popular type of unsupervised learning technique that performs natural groupings on samples to generate probably approximately correct groups.
JR. Bhatnagar
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Error bounds in stochastic-geometric normal approximation [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We provide normal approximation error bounds for sums of the form $\sum_x \xi_x$, indexed by the points $x$ of a Poisson process (not necessarily homogeneous) in the unit $d$-cube, with each term $\xi_x$ determined by the configuration of Poisson points ...
Mathew Penrose, Tom Rosoman
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A Novel Numerical Method for Computing Subdivision Depth of Quaternary Schemes
Mathematics, 2021 In this paper, an advanced computational technique has been presented to compute the error bounds and subdivision depth of quaternary subdivision schemes.
Aamir Shahzad +5 more
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New error bounds for the tensor complementarity problem
Electronic Research Archive, 2022 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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Generalization Bounds via Information Density and Conditional Information Density [PDF]
, 2020 We present a general approach, based on an exponential inequality, to derive bounds on the generalization error of randomized learning algorithms. Using this approach, we provide bounds on the average generalization error as well as bounds on its tail ...
Durisi, Giuseppe, Hellström, Fredrik
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