Quantitative Stability of Optimization Problems with Stochastic Constraints
Mathematics, 2023 In this paper, we consider optimization problems with stochastic constraints. We derive quantitative stability results for the optimal value function, the optimal solution set and the feasible solution set of optimization models in which the underlying ...
Wei Ouyang, Kui Mei
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Normal Transversality and Uniform Bounds [PDF]
Journal of the London Mathematical Society, 2000 12 pages ...
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A non-uniform bound on binomial approximation to the beta binomial cumulative distribution function [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2019 This paper uses Stein’s method and the characterization of beta binomial random variable to determine a non-uniform bound for the distance between the beta binomial cumulative distribution function with parameters n N, 0 and 0 and the ...
Kanint Teerapabolarn, Khunakorn Sae-Jeng
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Continuous-Variable Quantum Secret Sharing in Fast-Fluctuating Channels
IEEE Transactions on Quantum Engineering, 2023 Recently, several continuous-variable quantum secret sharing (CV-QSS) protocols were proposed, while most of them are limited to the fiber channel systems with a relatively stable transmissivity.
Fangli Yang, Daowen Qiu, Paulo Mateus
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Algorithms yield upper bounds in differential algebra
, 2020 Consider an algorithm computing in a differential field with several commuting derivations such that the only operations it performs with the elements of the field are arithmetic operations, differentiation, and zero testing.
Li, Wei +3 more
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Stability of explicit one-step methods for P1-finite element approximation of linear diffusion equations on anisotropic meshes [PDF]
, 2016 We study the stability of explicit one-step integration schemes for the linear finite element approximation of linear parabolic equations. The derived bound on the largest permissible time step is tight for any mesh and any diffusion matrix within a ...
Huang, Weizhang +2 more
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Uniform bounds for Weil–Petersson curvatures
Proceedings of the London Mathematical Society, 2018 We find bounds for Weil-Petersson holomorphic sectional curvature, and the Weil-Petersson curvature operator in several regimes, that do not depend on the topology of the underlying surface. Among other results, we show that the minimal (most negative) eigenvalue of the curvature operator at any point in the Teichm ller space $\Teich(S_g)$ of a closed
Wolf, Michael, Wu, Yunhui
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Shrinkage mechanism of red clay based on changes in the thickness of bound water film
地质科技通报, 2023 Objective The content and existence form of bound water have an important influence on the physical and mechanical properties of red clay, and macroscopic shrinkage of red clay leads to microstructure changes of soil particles, pores and bound water ...
Yabin Zhang +3 more
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Improved security analysis for OMAC as a pseudorandom function
Journal of Mathematical Cryptology, 2009 This paper shows that the advantage of any q-query adversary (which makes at most q queries) for distinguishing OMAC from a uniform random function is roughly Lq2/2n.
Nandi Mridul
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Uniqueness of Weak Solutions for the Normalised Ricci Flow in Two Dimensions [PDF]
, 2016 We show uniqueness of classical solutions of the normalised two-dimensional Hamilton-Ricci flow on closed, smooth manifolds for smooth data among solutions satisfying (essentially) only a uniform bound for the Liouville energy and a natural space-time $L^
Borer, Franziska
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