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math.ST2025
Wasserstein-Cramér-Rao Theory of Unbiased Estimation
Nicolás GarcÃa Trillos, Adam Quinn Jaffe, Bodhisattva Sen
The quantity of interest in the classical Cramér-Rao theory of unbiased estimation (e.g., the Cramér-Rao lower bound, its exact attainment for exponential families, and asymptoti…
math.ST2024
A New Perspective On Denoising Based On Optimal Transport
Nicolas Garcia Trillos, Bodhisattva Sen
In the standard formulation of the denoising problem, one is given a probabilistic model relating a latent variable and an observation $Z…