Simple approximative algorithms for free-support Wasserstein barycenters
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DOI: 10.1007/s10589-023-00458-3
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- Ethan Anderes & Steffen Borgwardt & Jacob Miller, 2016. "Discrete Wasserstein barycenters: optimal transport for discrete data," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 84(2), pages 389-409, October.
- Puccetti, Giovanni & Rüschendorf, Ludger & Vanduffel, Steven, 2020. "On the computation of Wasserstein barycenters," Journal of Multivariate Analysis, Elsevier, vol. 176(C).
- Amir Beck & Shoham Sabach, 2015. "Weiszfeld’s Method: Old and New Results," Journal of Optimization Theory and Applications, Springer, vol. 164(1), pages 1-40, January.
- G. Carlier & I. Ekeland, 2010. "Matching for teams," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(2), pages 397-418, February.
- repec:dau:papers:123456789/6728 is not listed on IDEAS
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Keywords
Optimal transport; Discrete Wasserstein barycenter; Approximative algorithm; Error analysis; Sparsity;All these keywords.
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