62 citations · 67 across the 5 of their papers we have counts for
6 papers
Topological Simplification of Signals for Inference and Approximate Reconstruction
Gary Koplik, Nathan Borggren, Sam Voisin +4
As Internet of Things (IoT) devices become both cheaper and more powerful, researchers are increasingly finding solutions to their scientific curiosities both financially and compu…
Geometric Cross-Modal Comparison of Heterogeneous Sensor Data
Christopher J. Tralie, Abraham Smith, Nathan Borggren +4
In this work, we address the problem of cross-modal comparison of aerial data streams. A variety of simulated automobile trajectories are sensed using two different modalities: ful…
The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacity
Murat Akman, Jasun Gong, Jay Hineman +2
In this article we study two classical potential-theoretic problems in convex geometry corresponding to a nonlinear capacity, $\mbox{Cap}_{\mathcal{A}}$, where -capaci…
Supervised Learning of Labeled Pointcloud Differences via Cover-Tree Entropy Reduction
Abraham Smith, Paul Bendich, John Harer +2
We introduce a new algorithm, called CDER, for supervised machine learning that merges the multi-scale geometric properties of Cover Trees with the information-theoretic properties…
Regularity and uniqueness of the heat flow of biharmonic maps
Jay Hineman, Tao Huang, Changyou Wang
In this paper, we first establish regularity of the heat flow of biharmonic maps into the unit sphere under a smallness condition of renormalized total…
Well-Posedness of Nematic Liquid Crystal Flow in
Jay Hineman, Changyou Wang
In this paper, we establish the local well-posedness for the Cauchy problem of the simplified version of hydrodynamic flow of nematic liquid crystals (\ref{LLF}) in f…