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The clustering problem, and more generally, latent factor discovery --or latent space inference-- is formulated in terms of the Wasserstein barycenter problem from optimal transport.
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Street, W. N., Wolberg, W. H., and Mangasarian, O. L · 1905
Earlier work this paper cites.
Metric considerations in cluster analysis
Chernoff, H., et al · 1979
Earlier work this paper cites.
Fuzzy clustering with a fuzzy covariance matrix
Gustafson, D. E., and Kessel, W. C · 1979
Earlier work this paper cites.
Mixture densities, maximum likelihood and the EM algorithm
Redner, R. A., and Walker, H. F · 1984
Earlier work this paper cites.
Principal curves
Hastie, T., and Stuetzle, W · 1989
Earlier work this paper cites.
Multisurface method of pattern separation for medical diagnosis applied to breast cytology
Wolberg, W. H., and Mangasarian, O. L · 1990
Earlier work this paper cites.
Polar factorization and monotone rearrangement of vector-valued functions
Brenier, Y · 1991
Earlier work this paper cites.
A simulated annealing algorithm for the clustering problem
Selim, S. Z., and Alsultan, K · 1991
Earlier work this paper cites.
Comparative analysis of statistical pattern recognition methods in high dimensional settings
Aeberhard, S., Coomans, D., and De Vel, O · 1994
Earlier work this paper cites.
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Cuesta-Albertos, J. A., Matrán-Bea, C., and Tuero-Diaz, A · 1996
Earlier work this paper cites.
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Horton, P., and Nakai, K · 1996
Earlier work this paper cites.
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Krishnapuram, R., and Kim, J · 1999
Earlier work this paper cites.
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Boyd, S., and Vandenberghe, L · 2004
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Generative adversarial nets
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Later among the works it cites.
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