A Second Order Cone Formulation of Continuous CTA Model. [PDF]
In this paper we consider a minimum distance Controlled Tabular Adjustment (CTA) model for statistical disclosure limitation (control) of tabular data. The goal of the CTA model is to find the closest safe table to some original tabular data set that contains sensitive information.
Lesaja G, Castro J, Oganian A.
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Smoothing sample average approximation method for solving stochastic second-order-cone complementarity problems [PDF]
In this paper, we consider stochastic second-order-cone complementarity problems (SSOCCP). We first use the so-called second-order-cone complementarity function to present an expected residual minimization (ERM) model for giving reasonable solutions of ...
Meiju Luo, Yan Zhang
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On Second-Order Cone Positive Systems [PDF]
Internal positivity offers a computationally cheap certificate for external (input-output) positivity of a linear time-invariant system. However, the drawback with this certificate lies in its realization dependency. Firstly, computing such a realization requires to find a polyhedral cone with a potentially high number of extremal generators that lifts
Grussler, Christian, Rantzer, Anders
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Optimal design of archgrids: the second-order cone programming perspective [PDF]
This paper regards the minimum weight problem of spatial systems, known in the literature as Rozvany–Prager archgrids. Their architectural role is to transmit a load of fixed intensity to the line of supports located at the boundary of a given plane ...
Grzegorz Dzierżanowski +1 more
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Reactive power compensator location and capacity determination strategy based on second-order cone programming [PDF]
In response to the problems of slow solving speed and difficult parameter selection in the current proposed dynamic reactive power compensation device location and capacity determination strategies, a dynamic reactive power compensation device location ...
Liqun SHANG +4 more
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Augmented Lagrangian method for second-order cone programs under second-order sufficiency [PDF]
This paper addresses problems of second-order cone programming important in optimization theory and applications. The main attention is paid to the augmented Lagrangian method (ALM) for such problems considered in both exact and inexact forms. Using generalized differential tools of second-order variational analysis, we formulate the corresponding ...
Hang, Nguyen T. V. +2 more
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Quantum algorithms for Second-Order Cone Programming and Support Vector Machines [PDF]
We present a quantum interior-point method (IPM) for second-order cone programming (SOCP) that runs in time $\widetilde{O} \left( n\sqrt{r} \frac{\zeta \kappa}{\delta^2} \log \left(1/\epsilon\right) \right)$ where $r$ is the rank and $n$ the dimension of
Iordanis Kerenidis +2 more
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Applications of Stochastic Mixed-Integer Second-Order Cone Optimization
Second-order cone programming problems are a tractable subclass of convex optimization problems that can be solved using polynomial algorithms. In the last decade, stochastic second-order cone programming problems have been studied, and efficient ...
Baha Alzalg, Hadjer Alioui
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A Global Optimization Algorithm for Solving Linearly Constrained Quadratic Fractional Problems
This paper first proposes a new and enhanced second order cone programming relaxation using the simultaneous matrix diagonalization technique for the linearly constrained quadratic fractional programming problem.
Zhijun Xu, Jing Zhou
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Waveform Design using Second Order Cone Programming in Radar Systems [PDF]
Transmit waveform design is one of the most important problems in active sensing and communication systems. This problem, due to the complexity and non-convexity, has been always the main topic of many papers for the decades.
M. Bagher Alaie, Seyed Ahmad Olamaei
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