Finding shortest paths with Graph Networks In this article we show how a Graph Network with attention read and write can perform shortest path calculations. This network performs this task with 99.91% ...

Abstract: The message-passing paradigm has served as the foundation of graph neural networks (GNNs) for years, making them achieve great success in a wide range of applications. Despite its elegance, ...

The angle preservation equality above corresponds to the Cauchy-Riemann equations. Complex functions that satisfy these equations are called conformal maps. This equality is linear in u and v . We can ...

Clifford algebras have many well-known applications in physics, engineering, and computer graphics. Zeon algebras are subalgebras of Clifford algebras whose combinatorial properties lend them to graph ...

Using variable speed drives on pumps reduces parasitic energy loss, enables proper maintenance and lowers capital costs.