Selected Publications

We propose a technique for interpolating between probability distributions on discrete surfaces, based on the theory of optimal transport.
In SIGGRAPH Asia, 2018

We introduce a notion of measure coresets that generalizes coreset language to arbitrary probability measures. Our definition reveals a surprising connection to optimal transport theory which we leverage to design a coreset for problems with Lipschitz costs.
In arXiv, 2018

We present a stochastic algorithm to compute the barycenter of a set of probability distributions under the Wasserstein metric from optimal transport.
In ICML, 2018

We present a scalable, communication-efficient, parallel algorithm for computing the Wasserstein barycenter of arbitrary distributions.
In NIPS, 2017

This paper presents a new preconditioning technique for large-scale geometric optimization problems, inspired by applications in mesh parameterization.
In SGP, 2017

Recent Publications

. Dynamical Optimal Transport on Discrete Surfaces. In SIGGRAPH Asia, 2018.

. Wasserstein Coresets for Lipschitz Costs. In arXiv, 2018.

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. Stochastic Wasserstein Barycenters. In ICML, 2018.

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. Parallel Streaming Wasserstein Barycenters. In NIPS, 2017.

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. Isometry Aware Preconditioning for Mesh Parameterization. In SGP, 2017.

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. Persistent Surveillance of Events with Unknown, Time-varying Statistics. In ICRA, 2017.

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. Distributed Aggregation for Modular Robots in the Pivoting Cube Model. In ICRA, 2017.

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. Automatic Room Segmentation from Unstructured 3D Data of Indoor Environments. In RAL, 2017.

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. Distributed Aggregation for Modular Robots in the Pivoting Cube Model. In ICRA, 2015.

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