Peng Wei

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cs.LG2026

Relative Translation Invariant Wasserstein Distance

Binshuai Wang, Qiwei Di, Ming Yin +3

Motivated by the Bures distance, we introduce a new family of distances, \emph{relative translation invariant Wasserstein distances}, denoted by $R W_{p}$ , as an extension of the clas…

cs.LG2026

Relative Wasserstein Angle and the Problem of the $W_{2}$ -Nearest Gaussian Distribution

Binshuai Wang, Peng Wei

We study the problem of quantifying how far an empirical distribution deviates from Gaussianity under the framework of optimal transport. By exploiting the cone geometry of the rel…

Relative Translation Invariant Wasserstein Distance

Relative Wasserstein Angle and the Problem of the W2​-Nearest Gaussian Distribution

Relative Wasserstein Angle and the Problem of the $W_{2}$ -Nearest Gaussian Distribution