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We introduce a novel method for sparse regression and variable selection, which is inspired by modern ideas in multiple testing. Imagine we have observations from the linear model y = Xβ + z, then we ...
This paper gives lower and upper bounds, which are expressed in terms of the ‘maximum column sum matrix norm’, for the largest and the smallest element of a transformed price vector in Sraffian system...
In this paper we begin to explore the application of the multiscale flat norm introduced in Morgan and Vixie [13] to shape and image analysis. In particular, we look at the use of the multiscale flat ...
We give a survey of basic results on the cut norm and cut metric for graphons (and sometimes more general kernels), with emphasis on the equivalence problem. The main results are not new, but we add v...
In this paper we establish various characterizations of the global minimum of the map Fà : U ! IR+ defined by FÃ(X) = kÃ(X)kp, (1 < p < 1) where à : U ! Cp is a map defin...
In this paper we establish various characterizations of the global minimum of the map Fà : U ! IR+ defined by FÃ(X) = kÃ(X)kp, (1 < p < 1) where à : U ! Cp is a map defin...
Lower Bounds for the Spectral Norm.
In this paper, in connection with a basic formula by S. Smale and D. X. Zhou which is fundamental in the approximation error estimates in statistical learning theory, we give new norm type inequalitie...
Operator norm inequalities of Minkowski type are presented for unitarily invariant norm. Some of these inequalities generalize an earlier work of Hiai and Zhan.
Some norm inequalities for sequences of linear operators defined on Hilbert spaces that are related to the classical Schwarz inequality are given. Applications for vector inequalities are also provide...
A norm inequality is proved for elements of a star algebra so that the algebra is noncommutative. In particular, a relation between maximal and minimal extensions of regular norm on C* - algebra is es...
On the $L^1$ Norm of the Weighted Maximal Function of Fejér Kernels with Respect to the Walsh-Kaczmarz System.
In this paper, we establish a weighted mixed norm integral inequality of Hardy's type. This inequality features a free constant term and extends earlier results on weighted norm Hardy-type inequalitie...

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