According to Einstein's theory of General Relativity, space itself can be curved by mass. As a result, the density of the universe — how much mass it has spread over its volume — determines its shape, ...

In the past few decades, multi-linear algebra also known as tensor algebra has been adapted and employed as a tool for various engineering applications. Recent developments in tensor algebra have ...

ABSTRACT: In this research, we explore the properties and applications of the mapping cone and its variant, the pinched mapping cone. The mapping cone is a construction that arises naturally in ...

A 15% uptick in RT performance over the RTX 2080 Ti is nothing to sniff at. Tensor core performance for deep learning super sampling could be comparable between the two, with the RTX 3070 ...

ABSTRACT: In recent years, there are many surrogates for tensor tubal rank. In this paper, we propose a hybrid norm consisting of the weighted nuclear norm and the weighted Frobenius norm (WTNFN) of a ...

So she turned to what had long been an underutilized tool in algebra called the tensor. Tensors are like matrices, but they can extend to any dimension, going beyond a matrix’s two dimensions of rows ...

While dense linear algebra calculations will still be important – notably ... This has certainly happened with the new 8-bit FP8 floating point format in the new fourth generation Tensor Core that is ...

To learn TNNs, we derive their backpropagation rules using a novel suite of generalized tensor algebra. With backpropagation, we can either learn TNNs from scratch or pre-trained models using ...

This paper concerns the more foundational tasks of distributed dense linear algebra. While a single TPU core can already store and operate on large matrices (e.g., of size 16,384, 32,768 in single ...

Abstract: Tensor algebra plays a major role in various applications, including data analysis, machine learning, and hydrodynamics simulation. Different tensor algebra inherently varies in dimension, ...