1 Tohoku University, Sendai, Japan. 2 College of Engineering, Nihon University, Koriyama, Japan. In the present paper, we take up the problem of detecting an edge for a function involving noise. For a ...

A mollifier played a key role in showing N 0 (T) > 1/3N(T) for large T in ref. 1 [Levinson, N. (1974) Advan. Math. 13, 383-436]. A basic problem in ref. 1 was that of obtaining an upper bound for a ...

Also, the full mollifier has been changed back to mollifier, and the mollifier with prime terms has been changed to mollifier_prime There are also multiple functions now for the approximate bounds ...

Abstract: The L 1-norm cost function of the low-rank approximation of the matrix with missing entries is not smooth, and also cannot be transformed into a standard linear or quadratic programming ...

ABSTRACT: In this paper, we proposed a Extension Definition to derive, simultaneously, the first, second and high order generalized derivatives for non-smooth functions, in which the involved ...

The purpose of the first section is to show uniqueness of the degree function. What I gathered from \textbf{Proposition 1.1} is that if $A \subset \R^n$ is compact ...