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relative Wasserstein angle

technology1 mentionslast seen Sep 23, 2026

A geometric quantity for quantifying deviation of empirical datasets from the Gaussian family under optimal transport geometry.

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relative Wasserstein angledepends onrelative translation invariant quadratic Wasserstein space93% confidence1 source
relative Wasserstein angledepends onoptimal transport92% confidence1 source
relative Wasserstein angleapplies tohigh-dimensional data analysis85% confidence1 source

relative Wasserstein angle

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relative Wasserstein angledepends onrelative translation invariant quadratic Wasserstein space

93% confidence1 supporting mentions

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preprintarXivSep 22, 2026Relative Wasserstein Angle and the Problem of the $W_2$-Nearest Gaussian Distribution
Building on the cone structure of the relative translation invariant quadratic Wasserstein $(RW_2)$ space, we define two geometric quantities---the \emph{relative Wasserstein angle}