Abstract: We study algebraic neural networks (AlgNNs) with commutative algebras which unify diverse architectures such as Euclidean convolutional neural networks, graph neural networks, and group ...

A research group from the University of Osaka, Zen University, and the University of Tokyo has mathematically uncovered the ...

Penn Engineers have developed a mathematical "Rosetta Stone" that translates atomic and molecular movements into predictions ...

To see how one cube can pass through another, imagine holding a cube over a table and examining its shadow (assuming it’s ...

A generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP), is proposed. It extends the CMP to two arbitrary matrices and maintains all fundamental properties of CMP.

This article is brought to you by our exclusive subscriber partnership with our sister title USA Today, and has been written by our American colleagues. It does not necessarily reflect the view of The ...

This second edition covers essentially the same topics as the first. However, the presentation of the material has been extensively revised and improved. In addition, there are two new chapters, one ...

Contact information, election results, salary and news for Texas Rep. Dustin Burrows.

Recently, uniqueness theorems were constructed for the representation used in Loop Quantum Gravity. We explore the existence of alternate representations by weakening the assumptions of the so called ...

When the AAUP speaks, it is the voice of the profession. Read a sampling of what the media is saying about the AAUP.