Wasserstein projection onto displacement-convex sets yields a convex optimization approach to shape-constrained univariate density estimation for non-increasing and log-concave cases, with structural properties and a discretizable implementation.
On the Wasserstein alignment problem.arXiv preprint arXiv:2503.06838, 2025
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Shape-constrained density estimation with Wasserstein projection
Wasserstein projection onto displacement-convex sets yields a convex optimization approach to shape-constrained univariate density estimation for non-increasing and log-concave cases, with structural properties and a discretizable implementation.