3 papers
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.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…
math.NA2025
Multiscale analysis via pseudo-reversing and applications to manifold-valued sequences
Wael Mattar, Nir Sharon
Modeling data using manifold values is a powerful concept with numerous advantages, particularly in addressing nonlinear phenomena. This approach captures the intrinsic geometric s…