In this paper, we propose a method for importing tensor index notation, including Einstein summation notation, into functional programming. This method involves introducing two types of parameters, ...

Augment the tensor library with the ability to perform tensor operations using Einstein's notation. Einstein's notation, introduced in 1916 to simplify the notation used for general relativity, ...

Also, often in the context of tensor you can think of a tensor equivalently as either having restricted axes, or as having unrestricted axes but with zeroes in certain coordinates. So the notation ...

Meet einx, a novel Python library developed in the tensor operations landscape, offers a streamlined approach to formulating complex tensor operations using Einstein notation. Inspired by einops, einx ...

Abstract: Accelerating tensor applications on spatial architectures provides high performance and energy-efficiency, but requires accurate performance models for evaluating various dataflow ...

When the FORTRAN programming language debuted in 1957, it transformed how scientists and engineers programmed computers. Complex calculations could suddenly be expressed in concise, math-like notation ...

Low-rank tensors are an established framework for the parametrization of multivariate polynomials. We propose to extend this framework by including the concept of block-sparsity to efficiently ...