2 papers
math.NA2025
Multiscaling in Wasserstein Spaces
Wael Mattar, Nir Sharon
We present a novel multiscale framework for analyzing sequences of probability measures in Wasserstein spaces over Euclidean domains. Exploiting the intrinsic geometry of optimal t…
math.NA2025
Multiscale Approximation as a Bias-Reducing Strategy with Applications to Manifold-Valued Functions
Asaf Abas, Nir Sharon
We study the bias-variance tradeoff within a multiscale approximation framework. Our approach uses a given quasi-interpolation operator, which is repeatedly applied within an error…