34 citations · 63 across the 26 of their papers we have counts for
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Embedding C*-algebras into the Calkin algebra of
March T. Boedihardjo
Let . We show that there is an isomorphism from any separable unital subalgebra of onto a subalgebra of that pre…
Statistical and Computational Guarantees of Kernel Max-Sliced Wasserstein Distances
Jie Wang, March Boedihardjo, Yao Xie
Optimal transport has been very successful for various machine learning tasks; however, it is known to suffer from the curse of dimensionality. Hence, dimensionality reduction is d…
Metric geometry of the privacy-utility tradeoff
March Boedihardjo, Thomas Strohmer, Roman Vershynin
Synthetic data are an attractive concept to enable privacy in data sharing. A fundamental question is how similar the privacy-preserving synthetic data are compared to the true dat…
Max-sliced 2-Wasserstein distance
March T. Boedihardjo
This note is a continuation of the author's previous work on "Sharp bounds for the max-sliced Wasserstein distance." We use the same technique to obtain an upper bound for the expe…
Sharp bounds for max-sliced Wasserstein distances
March T. Boedihardjo
We obtain essentially matching upper and lower bounds for the expected max-sliced 1-Wasserstein distance between a probability measure on a separable Hilbert space and its empirica…