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01/26/2023
Minimax estimation of discontinuous optimal transport maps: The semi-discrete case
We consider the problem of estimating the optimal transport map between ...
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12/07/2022
Optimal transport map estimation in general function spaces
We consider the problem of estimating the optimal transport map between ...
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05/11/2021
Estimation and Quantization of Expected Persistence Diagrams
Persistence diagrams (PDs) are the most common descriptors used to encod...
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02/15/2021
Reconstructing measures on manifolds: an optimal transport approach
Assume that we observe i.i.d. points lying close to some unknown d-dimen...
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01/20/2021
A short proof on the rate of convergence of the empirical measure for the Wasserstein distance
We provide a short proof that the Wasserstein distance between the empir...
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01/14/2020
Minimax adaptive estimation in manifold inference
We focus on the problem of manifold estimation: given a set of observati...
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01/10/2019
Understanding the Topology and the Geometry of the Persistence Diagram Space via Optimal Partial Transport
We consider a generalization of persistence diagrams, namely Radon measu...
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02/28/2018