We investigate a novel approach to approximate tensor-network contraction via the exact, matrix-free decomposition of full tensor-networks. We study this method as a means to eliminate the propagat ...

We investigate the efficient combination of the canonical polyadic decomposition (CPD) and tensor hyper-contraction (THC) approaches. We first present a novel low-cost CPD solver that leverages a ...

Smith, G.F. (1971) On Isotropic Functions of Symmetric Tensors, Skew-Symmetric Tensors and Vectors. International Journal of Engineering Science, 9, 899-916.

Hardware Graphics Cards AMD, Intel, Microsoft, and Nvidia are all excited about cooperative vectors and what they mean for the future of 3D graphics, but it's going to be a good while before we ...

Tensor Toolbox for Modern Fortran. Commercial FEM software packages offer interfaces (user subroutines written in Fortran) for custom defined user materials like UMAT in Abaqus or HYPELA2 in MSC.Marc.

At the same time, the compatibility conditions, the sufficient and necessary conditions and the specific solution methods for the matrix solution are given. Secondly, we further consider the ...

For each non-Clifford block, additional files will be produced: <circuit>.block<n>.tensor.npy is the symmetric tensor for this block, <circuit>.block<n>.matrix.npy is a (suboptimal) original ...

Semi-supervised Symmetric Non-negative Matrix Factorization with Low-Rank Tensor Representation Abstract:Semi-supervised symmetric non-negative matrix factorization (SNMF) utilizes the available ...

We establish a connection between problems studied in rigidity theory and matroids arising from linear algebraic constructions like tensor products and symmetric products. A special case of this ...