2.1k citations · 2.4k across the 35 of their papers we have counts for
41 papers
Spectral Bounds for Kernel Quadrature
A. Cloninger, Q. T. Le Gia, H. N. Mhaskar
A bottleneck in the theory of kernel methods in machine learning is the storage requirement. To ameliorate this, a standard trick is to replace the kernel with an explicit feature…
Training Guarantees of Neural Network Classification Two-Sample Tests by Kernel Analysis
Varun Khurana, Xiuyuan Cheng, Alexander Cloninger
We construct and analyze a neural network two-sample test to determine whether two datasets came from the same distribution (null hypothesis) or not (alternative hypothesis). We pe…
Point Cloud Classification via Deep Set Linearized Optimal Transport
Scott Mahan, Caroline Moosmüller, Alexander Cloninger
We introduce Deep Set Linearized Optimal Transport, an algorithm designed for the efficient simultaneous embedding of point clouds into an space. This embedding preserves spe…
Random Walks, Conductance, and Resistance for the Connection Graph Laplacian
Alexander Cloninger, Gal Mishne, Andreas Oslandsbotn +3
We investigate the concept of effective resistance in connection graphs, expanding its traditional application from undirected graphs. We propose a robust definition of effective r…
Semi-Supervised Laplace Learning on Stiefel Manifolds
Chester Holtz, Pengwen Chen, Alexander Cloninger +2
Motivated by the need to address the degeneracy of canonical Laplace learning algorithms in low label rates, we propose to reformulate graph-based semi-supervised learning as a non…
Effective resistance in metric spaces
Robi Bhattacharjee, Alexander Cloninger, Yoav Freund +1
Effective resistance (ER) is an attractive way to interrogate the structure of graphs. It is an alternative to computing the eigenvectors of the graph Laplacian. One attractive app…