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- W4361283362 abstract "A new barycenter of positive definite matrices minimizing the quantum divergences associated with sandwiched quasi-relative entropy has been recently introduced. It generalizes the well-known Wasserstein mean for covariance matrices of Gaussian distributions with mean zero, so we call it the parameterized Wasserstein mean. In this article we prove a norm inequality of the parameterized Wasserstein mean, give bounds to the parameterized Wasserstein mean with respect to the Loewner order and several inequalities with positive unital linear maps, and show the extended version of the Lie-Trotter-Kato formula for the parameterized Wasserstein mean. Finally, we show the log-majorization properties of the parameterized Wasserstein mean by using the unique characterization of the Cartan mean." @default.
- W4361283362 created "2023-03-31" @default.
- W4361283362 creator A5053126190 @default.
- W4361283362 date "2023-09-01" @default.
- W4361283362 modified "2023-10-16" @default.
- W4361283362 title "Parameterized Wasserstein means" @default.
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- W4361283362 doi "https://doi.org/10.1016/j.jmaa.2023.127272" @default.
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