Minimax optimal regression over Sobolev spaces via Laplacian Eigenmaps on neighbourhood graphsIn this paper, we study the statistical properties of Principal Components Regression with Laplacian Eigenmaps (PCR-LE), a method for non-parametric regression based on Laplacian Eigenmaps (LE). PCR-LE works ...
这种最优性概念过于严格，常常导致最优估计的不存在，所以我们更愿意讨论的是：minimax optimality:how fa...
• nearly achieves the minimax optimal error decay rate, • automatically adapts to the regularity of the level set boundary, • automatically adapts to the regularity of the underlying function f in the vicinity of the level set boundary, • admits a computationally efficient implementation...
基本上现在流行的论文大多数都是渐近意义下的minimax，并且不在乎乘一个常数(所谓rate optimal)。精确的m...
These optimizations are the main factor in providing the minimax optimal performance guarantees, especially when observations are stochastically missing. However, in real world scenarios, these properties of the underlying stochastic settings may not be revealed to the optimizer. For such a scenario, ...
Minimax Optimal Conditional Independence Testing 喜欢 0 阅读量: 46 作者:M Neykov,S Balakrishnan,L Wasserman 摘要: We consider the problem of conditional independence testing of $X$ and $Y$ given $Z$ where $X,Y$ and $Z$ are three real random variables and $Z$ is continuous. We focus ...
E(s2)-optimal and minimax-optimal cyclic supersaturated designs via multi-bjective simulated annealing. Journal of Statistical Planning and Inference 138, 1639-1646.Koukouvinos, C., Kalliopi, M., Simos, D.E., 2007b. E(s2)-optimal and minimax-optimal cyclic supersaturated designs via multi-...
Y. Yang, “Minimax optimal density estimation,” PhD Dissertation, Yale University, 1996. Google Scholar Y. Yang and A. Barron, “Information-theoretic determination of minimax rates of convergence,” Annals of Statistics, vol. 27, pp. 1564–1599, 1999. Article MathSciNet MATH Google Scholar...
For example, consider a problem of optimal design of a structure of a cube of maximal stiffness made from an elastic material and void; assume that the cube is supported on its lower side and loaded by a homogeneous vertical force on its upper side. It is easy to demonstrate, that the ...
Finite Horizon Minimax Optimal Control of Stochastic Partially Observed Time Varying Uncertain Systems We consider a linear-quadratic problem of minimax optimal control for stochastic uncertain control systems with output measurement. The uncertainty in the ... Valery,A.,UgrinovskiiIan,... - 《Mathemat...