Robust Interior Point Method for Quantum Key Distribution Rate Computation [PDF]
Quantum, 2022 Security proof methods for quantum key distribution, QKD, that are based on the numerical key rate calculation problem, are powerful in principle. However, the practicality of the methods are limited by computational resources and the efficiency and ...
Hao Hu +4 more
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Computing Optimal Experimental Designs via Interior Point Method [PDF]
, 2012 In this paper, we study optimal experimental design problems with a broad class of smooth convex optimality criteria, including the classical A-, D- and p th mean criterion.
Lu, Zhaosong, Pong, Ting Kei
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Updating constraint preconditioners for KKT systems in quadratic programming via low-rank corrections [PDF]
, 2015 This work focuses on the iterative solution of sequences of KKT linear systems arising in interior point methods applied to large convex quadratic programming problems.
Bellavia, S. +3 more
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An Improved Interior Point Algorithm for Quantile Regression
IEEE Access, 2020 Quantile regression is a powerful statistical technique for estimating the quantiles of a conditional distribution on the values of covariates. It has been widely used in many fields.
Pan Zhao, Shenghua Yu
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Refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality
Journal of Inequalities and Applications, 2016 In this paper, we present some new refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality. Based on verification by computer, several related interesting conjectures are put forward.
Jian Liu
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On Finding a Relative Interior Point of a Polyhedral Set [PDF]
Mathematics Interdisciplinary Research, 2021 This paper proposes a new linear program for finding a relative interior point of a polyhedral set. Based on characterizing the relative interior of a polyhedral set through its polyhedral representing sets, two main contributions are made.
Mahmood Mehdiloo
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New Refinements of the Erdös–Mordell Inequality and Barrow’s Inequality
Mathematics, 2019 In this paper, two new refinements of the Erdös−Mordell inequality and three new refinements of Barrow’s inequality are established. Some related interesting conjectures are put forward.
Jian Liu
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On some new geometrically motivated operators over intuitionistic fuzzy sets [PDF]
Notes on IFSWe consider four new geometrically motivated operators acting in the interior of the interpretation triangle used to depict intuitionistic fuzzy sets.
Peter Vassilev +4 more
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Learning to steer nonlinear interior-point methods
EURO Journal on Computational Optimization, 2019 Interior-point or barrier methods handle nonlinear programs by sequentially solving barrier subprograms with a decreasing sequence of barrier parameters.
Renke Kuhlmann
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Convergence analysis of an Inexact Infeasible Interior Point method for Semidefinite Programming [PDF]
, 2004 In this paper we present an extension to SDP of the well known infeasible Interior Point method for linear programming of Kojima,Megiddo and Mizuno (A primal-dual infeasible-interior-point algorithm for Linear Programming, Math. Progr., 1993).
Bellavia, S, Pieraccini, Sandra
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