Showing math.NAShow all
3 papers · 1 filter
math.NA2026
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.NA2026
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…
math.NA2025
Pyramid transforms via nonstationary subdivision schemes
Hadar Landau, Wael Mattar, Nir Sharon
Pyramid transforms are constructive methods for analyzing sequences in a multiscale fashion. Traditionally, these transforms rely on stationary upsampling and downsampling operatio…