Jonathan Niles-Weed

most citedDimension-free log-Sobolev inequalities for mixture distributions

1 citations · 1 across the 1 of their papers we have counts for

collaborators

2 papers

math.PR2021★ 1 cited

Dimension-free log-Sobolev inequalities for mixture distributions

Hong-Bin Chen, Sinho Chewi, Jonathan Niles-Weed

We prove that if $(P_{x})_{x \in X}$ is a family of probability measures which satisfy the log-Sobolev inequality and whose pairwise chi-squared divergences are uniformly b…

math.PR2020

Asymptotics of smoothed Wasserstein distances

Hong-Bin Chen, Jonathan Niles-Weed

We investigate contraction of the Wasserstein distances on $R^{d}$ under Gaussian smoothing. It is well known that the heat semigroup is exponentially contractive with respe…