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Niles-Weed J, Rigollet P. Estimation of Wasserstein distances in the Spiked Transport Model. BERNOULLI 2022. [DOI: 10.3150/21-bej1433] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Affiliation(s)
- Jonathan Niles-Weed
- Courant Institute of Mathematical Sciences & Center for Data Science, New York University, 251 Mercer Street, New York, NY 10012-1185, USA
| | - Philippe Rigollet
- Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA
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Ghosal P, Sen B. Multivariate ranks and quantiles using optimal transport: Consistency, rates and nonparametric testing. Ann Stat 2022. [DOI: 10.1214/21-aos2136] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
Affiliation(s)
- Promit Ghosal
- Department of Mathematics, Massachusetts Institute of Technology
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