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Smoothing Method for Minimax Problems

Computational Optimization and Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Iterative Method for the Minimax Problem

1995
The authors propose a class of iteration methods for the minimax problem \({\displaystyle {\min_{x \in X} \max_{y \in Y}}} L(x,y)\), where \(L\) is a convex-concave function from \(X \times Y\) to \([- \infty, + \infty]\) and \(X\) and \(Y\) are closed nonempty convex sets in \(\mathbb{R}^n\) and \(\mathbb{R}^m\), respectively, \(X = \{z / c_i (x) \leq
Qi, Liqun, Sun, Wenyu
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Research for AQM based on MiniMax method

Neural Computing and Applications, 2014
This paper proposes an active queue management (AQM) controller for a class of linearized congestion router network systems in the presence of unknown time-varying link number and disturbances. Based on the idea of MiniMax method in game theory, a novel output feedback controller is specially designed with the improved robustness to the disturbances ...
Xudong Yuan, Yuanwei Jing
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A smooth method for the finite minimax problem

Mathematical Programming, 1993
The authors' aim is to establish an implementable algorithm for finite minimax problems of the form \[ \min_{x\in \mathbb{R}^ n} \Phi(x),\quad\text{where } \Phi(x):= \max_{i=1,\dots,m} f_ i(x)\tag{1} \] and each \(f_ i: \mathbb{R}^ n\to \mathbb{R}\) is twice continuously differentiable. Problem (1) is equivalent to the nonlinear programming problem \[ \
Gianni Di Pillo   +2 more
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A numerical method for solving minimax problems

USSR Computational Mathematics and Mathematical Physics, 1971
Abstract A NUMERICAL method for solving minimax and maximin problems is described. The results of numerical computations are quoted.
Grachev, N. I., Evtushenko, Yu. G.
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On minimax identification: method of dual optimization

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
The 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 ...
Alexei R. Pankov   +2 more
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On penalty methods for minimax problems

Zeitschrift für Operations Research, 1986
Minimax problems play an important role in different fields of nonlinear analysis (game theory, duality theory, fixed point theory). After the introduction of the problem and some of its basic properties the paper investigates penalty methods to solve minimax problems.
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A Minimax Method for Learning Functional Networks

Neural Processing Letters, 2000
In this paper, a minimax method for learning functional networks is presented. The idea of the method is to minimize the maximum absolute error between predicted and observed values. In addition, the invertible functions appearing in the model are assumed to be linear convex combinations of invertible functions. This guarantees the invertibility of the
Enrique F. Castillo   +3 more
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Method for the determination of the minimax

Cybernetics, 1987
The 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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The Minimax Method of Estimation of the Parameters of an Image

Journal of Mathematical Sciences, 2001
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Katulev, A. N., Malevinskij, M. F.
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