38 citations · 73 across the 10 of their papers we have counts for
13 papers
Unified Functional Hashing in Automatic Machine Learning
Ryan Gillard, Stephen Jonany, Yingjie Miao +7
The field of Automatic Machine Learning (AutoML) has recently attained impressive results, including the discovery of state-of-the-art machine learning solutions, such as neural im…
Why neural networks find simple solutions: the many regularizers of geometric complexity
Benoit Dherin, Michael Munn, Mihaela Rosca +1
In many contexts, simpler models are preferable to more complex models and the control of this model complexity is the goal for many methods in machine learning such as regularizat…
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)…
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…
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…
Geometric singularities and a flow tangent to the Ricci flow
Lashi Bandara, Sajjad Lakzian, Michael Munn
We consider a geometric flow introduced by Gigli and Mantegazza which, in the case of smooth compact manifolds with smooth metrics, is tangen- tial to the Ricci flow almost-everywh…
Alexandrov spaces with large volume growth
Michael Munn
Let be an -dimensional Alexandrov space whose Hausdorff measure satisfies a condition giving the metric measure space a notion of h…
Intrinsic flat convergence with bounded Ricci curvature
Michael Munn
In this paper we address the relationship between Gromov-Hausdorff limits and intrinsic flat limits of complete Riemannian manifolds. In \cite{SormaniWenger2010, SormaniWenger2011}…
On the Size of a Ricci Flow Neckpinch via Optimal Transport
Sajjad Lakzian, Michael Munn
In this paper we apply techniques from optimal transport to study the neckpinch examples of Angenent-Knopf which arise through the Ricci flow on . In particular,…
Super Ricci flow for disjoint unions
Sajjad Lakzian, Michael Munn
In this paper we consider compact, Riemannian manifolds each equipped with a one-parameter family of metrics satisfying the Ricci flow equation. Motivat…
Volume growth and the topology of Gromov-Hausdorff limits
Michael Munn
We examine topological properties of pointed metric measure spaces that can be realized as the pointed Gromov-Hausdorff limit of a sequence of complete, Riemannian manifol…
On the appearance of Eisenstein series through degeneration
Dan Garbin, Jay Jorgenson, Michael Munn
Let be a Fuchsian group of the first kind acting on the hyperbolic upper half plane , and let be the associated finite volume hyperbolic…
Volume growth and the topology of manifolds with nonnegative Ricci curvature
Michael Munn
Let be a complete, open Riemannian manifold with $\Ric \geq 0$. In 1994, Grigori Perelman showed that there exists a constant , depending only on the dimension of th…