The model has surprising predictions (e.g., the spatial isotropy of word vectors), which are empirically verified. It also directly leads to a linear algebraic understanding of how a word embedding ...

We introduce an approach that automatically learns to solve algebra word problems. Our algorithm, a pioneering result for this task, reasons across sentence boundaries. It constructs and solves a ...

In this paper we report on the solution to optimality of 10 large-scale zero-one linear programming problems. All problem data come from real-world industrial applications and are characterized by ...

The purpose of this paper is to develop a useful technique for solving linear programmes involving more than one objective function. Motivation for solving multicriterion linear programmes is given ...

Learn how to use linear algebra and calculus to represent, manipulate, optimize, and implement natural language processing techniques in data science.

Algebraic multigrid (AMG) methods have emerged as a crucial tool for efficiently solving large, sparse linear systems, particularly those arising in complex scientific and engineering simulations.