55 citations · 102 across the 14 of their papers we have counts for
Showing 2018 · cs.LGShow all
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cs.LG2018★ 2 cited
On The Chain Rule Optimal Transport Distance
Frank Nielsen, Ke Sun
We define a novel class of distances between statistical multivariate distributions by modeling an optimal transport problem on their marginals with respect to a ground distance de…
cs.LG2018
Intrinsic Universal Measurements of Non-linear Embeddings
Ke Sun
A basic problem in machine learning is to find a mapping from a low dimensional latent space to a high dimensional observation space . Modern tools s…
cs.LG2018
Guaranteed Deterministic Bounds on the Total Variation Distance between Univariate Mixtures
Frank Nielsen, Ke Sun
The total variation distance is a core statistical distance between probability measures that satisfies the metric axioms, with value always falling in . This distance plays…