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The LASSO risk for gaussian matrices
Noisy linear observation vector image processing the matrix sequence
2015/8/20
We consider the problem of learning a coecient vector x0 2 R N from noisy linear observation y = Ax0 + w 2 R n. In many contexts (ranging from model selection to image processing) it is desirable to ...
Angle Deficit Approximation of Gaussian Curvature and Its Convergence over Quadrilateral meshes
Gaussian Curvature Quadrilateral Mesh Convergence
2012/8/7
We propose a discrete approximation of the Gaussian curvature over quadrilateral
meshes using a linear combination of two angle de痗its. Suppose a surface mesh is
obtained from a sampling of a smooth...
Decision Based Uncertainty Propagation Using Adaptive Gaussian Mixtures
Adaptive Gaussian Sum Decision Making Uncertainty Propagation Expected Loss
2011/9/29
Abstract: Given a decision process based on the approximate probability density function returned by a data assimilation algorithm, an interaction level between the decision making level and the data ...
On Small deviations of Gaussian processes using majorizing measures
small deviations Gaussian processes entropy numbers
2011/2/21
We give two examples of periodic Gaussian processes, having en-tropy numbers of exactly same order but radically different small deviations.Our construction is based on classical Knopp’s result yieldi...
Small deviations for a family of smooth Gaussian processes
Small deviations family of smooth Gaussian processes
2010/12/14
We study the small deviation probabilities of a family of very smooth self-similar Gaussian processes. The canonical process from the family has the same scaling properties as standard Brownian motion...
复Gaussian小波核函数及多参数同步优化策略
2007/12/13
Abstract对复Gaussian小波满足Mercy条件及其在Hilbert空间具有再生性的命题作了证明.用复Gaussian小波构建出一种核函数,与主成分分析方法相结合,对非线性非平稳信号进行参数辨识和预测.针对多参数模型优化时间过长,不利于工程应用的问题,提出了一种多参数同步优化策略.仿真实验验证了该方法的可行性和有效性,表明该方法具有较好的实用价值.
Convergence Analysis of a Discretization Scheme for Gaussian Curvature over Triangular Surfaces
Gaussian Curvature Surface triangulation Convergence.
2012/8/1
In this paper, we study the convergent property of a well known discretized scheme of Gaussian curvature, derived from Gauss-Bonnet theorem, over triangulated surface.Suppose the triangulation is obta...