Author's present address, Department of Mathematics, Harvard University. This paper was written while the author was engaged on a project sponsored by the Office of Naval Research (Contract N6-ori, ...

Gradient descent-trained neural networks operate effectively even in overparameterized settings with random weight initialization, often finding global optimum solutions despite the non-convex nature ...

The next ICTP SISSA Colloquium will be held by professor Luigi Ambrosio from Scuola Normale Superiore. The seminar, titled "On some variational problems involving functions with bounded Hessian", will ...

Abstract: In this paper, we study functions of bounded variation on a complete and connected metric space with finite one-dimensional Hausdorff measure. The definition of BV functions on a compact ...

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Abstract: Questions of uniform approximation of continuous functions of bounded variation on ℝ n with the values in the Banach space are being studied by aggregates of summatory type constructed on ...

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This research was partly supported by CDCHTA of Universidad de Los Andes under the project NURR-C- 547-12-05-B. Conflicts of Interest The authors declare no conflicts of interest. [1] A. Smajdor and W ...

ABSTRACT: In this paper, we discuss various aspects of the problem of space-invariance, under compositions, of certain subclasses of the space of all continuously differentiable functions on an ...