An Invitation to Statistics in Wasserstein Space

249 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Robust Aggregation for Federated Learning (2019, background): “The second condition is related to the Wasserstein-2 distance [72] between the conditionals DY |X,i as W2(DY |X,i, DY |X,j) ≤ RΩY |X .”
Distribution-on-Distribution Regression via Optimal Transport Maps (2021, background): “B ( T ¯ µ → µ − I ) + I , which retracts back onto W 2 (Ω) and yields a measure (if B ( T ¯ µ → µ − I ) + I is a monotone map, then this is equivalent to exponentiation, see Section 2.3 of Panaretos and Zemel [14]).”