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On Smoothing of Parametric Minimax-Functions and Generalized Max-Functions via Regularization
parametric minimax problems semi-infinite optimization non-differentiable optimization convex parametric optimization duality theory regularization
2009/1/23
The paper deals with a smoothing procedure for parametric minimax-functions, arising from parameter dependend convex-concave games. In this framework generalized max-functions (i.e. maximum value func...
Minimax Equalities by Reconstruction of Polytopes
Minimax Equalities Reconstruction of Polytopes
2009/1/13
Given a quasi-concave-convex real-valued function f: X×Y -> R defined on the product of two convex sets we would like to know if inffY supX f = supX inffY f...
二次损失下一般Gauss-Markov模型中可估函数的线性Minimax估计
二次损失 可估函数 Minimax估计
2007/12/11
设$Y$是具有均值$X\beta$和协方差阵$\sigma^2 V$的$n$维随机向量, $S\beta$是线性可估函数, 这里$X,S$和$V\ge 0$是已知矩阵, $\beta\in 0$是未知参数. 本文在二次损失下研究了线性估计的Minimax性. 在适当的假设下, 得到了$S\beta$的唯一线性Minimax估计(有关唯一性在几乎处处意义下理解.
The Minimax Equality; Sufficient and Necessary Conditions
Minimax equality Convexlike functions Affine-connectedness
2007/12/10
The paper produces new versions of the minimax theorem based on original conditions. Moreover, we investigate not only the sufficiency, but also the necessity of such conditions. The proofs are very s...