Because isomorphic tensors present differently, discovering that they're secretly the same can actually be quite difficult. Grochow's project will allow him to move back and forth between creating new ...

Tensors, or multiindexed arrays, generalize matrices (two dimensional) to three dimensions and beyond. Due to the great ability of tensors to model higher-order data and nonlinear functions, tensor ...

Dan Fleisch briefly explains some vector and tensor concepts from A Student’s Guide to Vectors and Tensors. In the field of machine learning, tensors are used as representations for many applications, ...

Tensors are data structures used by machine-learning models. Both of the new methods seek to efficiently exploit what's known as sparsity -- zero values -- in the tensors.

A symmetric tensor is completely positive (CP) if it is a sum of tensor powers of nonnegative vectors. This paper characterizes completely positive binary tensors. We show that a binary tensor is ...

The tensors considered in this paper are the linear relationships between certain pairs of physical vector quantities which may be described by $3 \times 3$ symmetric matrices. Such a linear ...

Tomographic measurement of dielectric tensors at optical frequency. Nature Materials, 2022; 21 (3): 317 DOI: 10.1038/s41563-022-01202-8 ...