The systematic study of various tensor norms on the tensor product of Banach spaces was begun with the work of Schatten [1] , which was later studied by Grothendieck in the context of locally convex ...

This repository contains the official implementation of E2Former, an equivariant neural network interatomic potential based on efficient attention mechanisms and E(3)-equivariant operations. At its ...

Abstract: We study tensor norms that destroy unconditionality in the following sense: for every Banach space E with unconditional basis, the n-fold tensor product of E (with the corresponding tensor ...

Learning from complex, multidimensional data has become central to computational mathematics, and among the most successful high-dimensional function approximators are deep neural networks (DNNs).

1 Department of Biomedical Engineering, Toyo University, Saitama, Japan. 2 Department of Mechanical Engineering, Toyo University, Saitama, Japan. In this paper, we calculate the absolute tensor square ...

Abstract: Considering multidimensional structure of the multi-exposure images, a new Tensor product and Tensor-singular value decomposition based Multi-Exposure image Fusion (TT-MEF) method is ...