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The Asymptotic Minimax Constant for Sup-Norm Loss in Nonparametric Density Estimation
Density estimation exact constant optimal recovery uniform norm risk white noise
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2015/8/25
We develop the exact constant of the risk asymptotics in the uniform norm for density estimation. This constant has first been found for nonparametric regression and for signal estimation in Gaussian ...
1-norm Support Vector Machines
1-norm Support Vector Machines
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2015/8/21
The standard 2-norm SVM is known for its good performance in twoclass classification. In this paper, we consider the 1-norm SVM. We argue that the 1-norm SVM may have some advantage over the standard ...
Concentration Properties of a Gaussian Field Given that its $L^2$-Norm is Large
Concentration Properties Gaussian Field Given $L^2$-Norm is Large
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2010/12/14
The realizations of a Gaussian field are investigated in the limit where its L2-norm is large.
Concentration onto the eigenspace associated with the largest eigenvalue of the covariance of the field ...