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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Primal Dual Alternating Proximal Gradient Algorithms for Nonsmooth Nonconvex Minimax Problems with Coupled Linear Constraints
耦合 线性约束 非光滑 非凸极小问题 基本对偶交替 近端梯度算法
2023/4/14
Nonconvex minimax problems have attracted wide attention in machine learning, signal processing and many other fields in recent years. In this paper, we propose a primal dual alternating proximal grad...
The Minimax Estimator of Stochastic Regression Coecients and Parameters in the Class of All Estimators
minimax estimator stochastic regression coefficients quadratic loss function normal linear model
2007/12/11
In this paper, the authors address the problem of the minimax estimator of linear combinations of stochastic regression coefficients and parameters in the general normal linear model with random effec...
Minimax Optimal Rates of Convergence for Multicategory Classifications
rate of convergence error probability modulus of continuity multicategory classification
2007/12/10
In the problem of
classification (or pattern recognition), given a set of $n$
samples, we attempt to construct a classifier $g_n$ with a small
misclassification error. It is important to study the ...