3 papers
cs.LG2020
Algebraically-Informed Deep Networks (AIDN): A Deep Learning Approach to Represent Algebraic Structures
Mustafa Hajij, Ghada Zamzmi, Matthew Dawson +1
One of the central problems in the interface of deep learning and mathematics is that of building learning systems that can automatically uncover underlying mathematical laws from…
math.AC2018
Non-Commutative Resolutions of Toric Varieties
Eleonore Faber, Greg Muller, Karen E. Smith
Let be the coordinate ring of an affine toric variety. We show that the endomorphism ring where is the (finite) direct sum of all (isomorphism c…
math.RA2011
The Weil-Petersson form on an acyclic cluster variety
Greg Muller
The Weil-Petersson form on a cluster variety is a 2-form on a certain open smooth subvariety; the union of the cluster tori. We show that for acyclic cluster varieties, the Weil-Pe…