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On minimax identification: method of dual optimization
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002The problem of minimax affine identification of a linear uncertain stochastic multivariate model is considered. The minimax optimization problem together with the corresponding dual one are stated and examined. The necessary and sufficient conditions for the minimax affine estimate to exist and to be determined analytically via the dual problem ...
A.R. Pankov +2 more
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Minimax optimization using quasi-newton methods
2005The problem under consideration is that of minimizing the objective function $$F(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{x} ) = \mathop {max}\limits_{l \leqslant j \leqslant m} f_j (\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{x} )$$ where {fj} is a set of m nonlinear, differentiable functions of n variables x ...
Jørgen Hald, Kaj Madsen
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Minimax algorithms of weight Monte Carlo methods
Russian Journal of Numerical Analysis and Mathematical Modelling, 1989Summary: Weight Monte Carlo algorithms are constructed with the minimax of the weight function which defines the variances of standard Monte Carlo estimation of linear functionals of the solution to an integral equation of the second kind. Uniform minimizations of the relative variance of the solution and of an averaged solution are considered as ...
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Minimax methods in critical point theory with applications to differential equations
, 1986P. Rabinowitz
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Method for the determination of the minimax
Cybernetics, 1987The author transforms the determination of a minimax in finite dimensional spaces under compactness and convexity assumptions to the problem to integrate a certain associated implicit system of ordinary differential equations. The required solvability assumptions as well as appromation methods to solve the differential equation using regularization ...
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Minimax Methods for Multihypothesis Sequential Testing and Change-Point Detection Problems
, 2008B. Brodsky, B. Darkhovsky
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Minimax methods for fault isolation in the directional residual approach
, 1998K. Yin
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Minimax optimal designs via particle swarm optimization methods
Statistics and computing, 2014Ray‐Bing Chen +4 more
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Local Privacy and Statistical Minimax Rates
IEEE Annual Symposium on Foundations of Computer Science, 2013John C. Duchi +2 more
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