3 papers
math.DG2020
On Weak Super Ricci Flow through Neckpinch
Sajjad Lakzian, Michael Munn
In this article, we study the Ricci flow neckpinch in the context of metric measure spaces. We introduce the notion of a Ricci flow metric measure spacetime and of a weak (refined)…
stat.ML2020
COT-GAN: Generating Sequential Data via Causal Optimal Transport
Tianlin Xu, Li K. Wenliang, Michael Munn +1
We introduce COT-GAN, an adversarial algorithm to train implicit generative models optimized for producing sequential data. The loss function of this algorithm is formulated using…
math.DG2016
Three-Dimensional Alexandrov spaces with positive or nonnegative Ricci curvature
Qintao Deng, Fernando Galaz-Garcia, Luis Guijarro +1
We study closed three-dimensional Alexandrov spaces with a lower Ricci curvature bound in the sense, focusing our attention on those with positive or nonnegati…