2.1k citations · 2.4k across the 35 of their papers we have counts for
Showing 2020 · stat.MLShow all
3 papers · 2 filters
stat.ML2020
Linear Optimal Transport Embedding: Provable Wasserstein classification for certain rigid transformations and perturbations
Caroline Moosmüller, Alexander Cloninger
Discriminating between distributions is an important problem in a number of scientific fields. This motivated the introduction of Linear Optimal Transportation (LOT), which embeds…
stat.ML2020
A deep network construction that adapts to intrinsic dimensionality beyond the domain
Alexander Cloninger, Timo Klock
We study the approximation of two-layer compositions via deep networks with ReLU activation, where is a geometrically intuitive, dimensionality reducing featur…
stat.ML2020★ 4 cited
Nonclosedness of Sets of Neural Networks in Sobolev Spaces
Scott Mahan, Emily King, Alex Cloninger
We examine the closedness of sets of realized neural networks of a fixed architecture in Sobolev spaces. For an exactly -times differentiable activation function , we constru…