5 papers
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…
Geometric multiscale analysis 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…
Wavelets Are All You Need for Autoregressive Image Generation
Wael Mattar, Idan Levy, Nir Sharon +1
In this paper, we take a new approach to autoregressive image generation that is based on two main ingredients. The first is wavelet image coding, which allows to tokenize the visu…
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…
Pyramid Transform of Manifold Data via Subdivision Operators
Wael Mattar, Nir Sharon
Multiscale transforms have become a key ingredient in many data processing tasks. With technological development, we observe a growing demand for methods to cope with non-linear da…