Brendan Mallery — accepted AI-conference papers

2025

Linearized Wasserstein Barycenters: Synthesis, Analysis, Representational Capacity, and Applications

Matthew Werenski, Brendan Mallery, Shuchin Aeron, James M. Murphy

AISTATS 2025poster

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 closed-form solution to the variational problem characterizing the probability measures in the LBCM and establish equivalen…

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2025

Synthesis and Analysis of Data as Probability Measures With Entropy-Regularized Optimal Transport

Brendan Mallery, James M. Murphy, Shuchin Aeron

AISTATS 2025poster

We consider synthesis and analysis of probability measures using the entropy-regularized Wasserstein-2 cost and its unbiased version, the Sinkhorn divergence. The synthesis problem consists of computing the barycenter, with respect to these costs, of reference measures given a set of coefficients be…

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