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Robust, fragile or optimal?

Proceedings of the 1997 American Control Conference (Cat. No.97CH36041), 1997
We show by examples that optimum and robust controllers, designed by using the H/sub 2/, H/sub /spl infin//, l/sup 1/ and /spl mu/ formulations, can produce extremely fragile controllers, in the sense that vanishingly small perturbations of the coefficients of the designed controller destabilize the closed loop control system.
Lee H. Keel, Shankar P. Bhattacharyya
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Robust Portfolio Optimization

Metrika, 2002
We address the problem of estimating risk-minimizing portfolios from a sample of historical returns, when the underlying distribution that generates returns exhibits departures from the standard Gaussian assumption. Specifically, we examine how the underlying estimation problem is influenced by marginal heavy tails, as modeled by the univariate Student-
G. J. Lauprete   +2 more
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Optimal robust classifiers

Pattern Recognition, 2005
Qualitatively, a filter is said to be ''robust'' if its performance degradation is acceptable for distributions close to the one for which it is optimal, that is, the one for which it has been designed. This paper adapts the signal-processing theory of optimal robust filters to classifiers.
Edward R. Dougherty   +3 more
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A distributional interpretation of robust optimization

2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2010
Motivated by data-driven decision making and sampling problems, we investigate probabilistic interpretations of robust optimization (RO). We establish a connection between RO and distributionally robust stochastic programming (DRSP), showing that the solution to any RO problem is also a solution to a DRSP problem.
Huan Xu 0001   +2 more
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On Robust Optimization

Journal of Optimization Theory and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Robust control with optimization of robustness index

2012 IEEE International Conference on Systems, Man, and Cybernetics (SMC), 2012
The paper considers a problem of robust control system synthesis based on the modified algorithm of Coefficient Diagram Method (CDM) with robustness index optimization. The proposed solution is expected to enable improvement of system robustness against parametric uncertainty.
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Robust Optimization for Clustering

2016
In this paper, we investigate the robust optimization for the minimum sum-of squares clustering (MSSC) problem. Each data point is assumed to belong to a box-type uncertainty set. Following the robust optimization paradigm, we obtain a robust formulation that can be interpreted as a combination of MSSC and k-median clustering criteria.
Xuan Thanh Vo   +2 more
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Stability and Continuity in Robust Optimization

SIAM Journal on Optimization, 2017
Summary: We consider the stability of robust optimization (RO) problems with respect to perturbations in their uncertainty sets. In particular, we focus on robust linear optimization problems, including those with an infinite number of constraints, and consider uncertainty in both the cost function and constraints.
Timothy C. Y. Chan, Philip Allen Mar
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Robust Optimization of Order Execution

IEEE Transactions on Signal Processing, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yiyong Feng   +2 more
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Optimality and Robustness of the English Auction [PDF]

open access: possibleGames and Economic Behavior, 2001
In \textit{P. R. Milgrom} and \textit{R. J. Weber}'s [``A theory of auctions and competitive bidding'' Econometrica 50, 1089-1122 (1982; Zbl 0487.90017)] ``general symmetric model'', under a few additional regularity conditions, the English auction maximizes the seller's expected profit within the class of all posterior-implementable trading procedures
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