Wasserstein least squares extends Euclidean least squares to distribution-valued responses via convex analysis, yielding n^{-1/2} rates under template deformation and faster barycenter rates than prior work.
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Pith papers citing it
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2026 3verdicts
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Presents a drift transformation framework for multidimensional diffusions that yields product-form transition densities, with explicit results for Wiener and Ornstein-Uhlenbeck cases including resetting and stochastic ordering.
An optimal transport method is proposed to construct confidence intervals with improved coverage, including theoretical consistency results, error bounds, and simulation comparisons.
citing papers explorer
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Wasserstein Least Squares: A Canonical Regression Method for Probability Distributions
Wasserstein least squares extends Euclidean least squares to distribution-valued responses via convex analysis, yielding n^{-1/2} rates under template deformation and faster barycenter rates than prior work.
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A framework for drift transformations of multidimensional diffusion processes with applications to Wiener and Ornstein--Uhlenbeck dynamics
Presents a drift transformation framework for multidimensional diffusions that yields product-form transition densities, with explicit results for Wiener and Ornstein-Uhlenbeck cases including resetting and stochastic ordering.
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An Optimal Transportation Approach for Improved Confidence Intervals
An optimal transport method is proposed to construct confidence intervals with improved coverage, including theoretical consistency results, error bounds, and simulation comparisons.