2 citations · 4 across the 6 of their papers we have counts for
5 papers · 1 filter
Linearized Wasserstein Barycenters: Synthesis, Analysis, Representational Capacity, and Applications
Matthew Werenski, Brendan Mallery, Shuchin Aeron +1
We propose the linear barycentric coding model (LBCM) which utilizes the linear optimal transport (LOT) metric for analysis and synthesis of probability measures. We provide a clos…
Estimation of entropy-regularized optimal transport maps between non-compactly supported measures
Matthew Werenski, James M. Murphy, Shuchin Aeron
This paper addresses the problem of estimating entropy-regularized optimal transport (EOT) maps with squared-Euclidean cost between source and target measures that are subGaussian.…
On Rank Energy Statistics via Optimal Transport: Continuity, Convergence, and Change Point Detection
Matthew Werenski, Shoaib Bin Masud, James M. Murphy +1
This paper considers the use of recently proposed optimal transport-based multivariate test statistics, namely rank energy and its variant the soft rank energy derived from entropi…
Measure Estimation in the Barycentric Coding Model
Matthew Werenski, Ruijie Jiang, Abiy Tasissa +2
This paper considers the problem of measure estimation under the barycentric coding model (BCM), in which an unknown measure is assumed to belong to the set of Wasserstein-2 baryce…
Multivariate rank via entropic optimal transport: sample efficiency and generative modeling
Shoaib Bin Masud, Matthew Werenski, James M. Murphy +1
The framework of optimal transport has been leveraged to extend the notion of rank to the multivariate setting while preserving desirable properties of the resulting goodness-of-fi…