6 papers · 1 filter
Subdivision Schemes in Metric Spaces
Nira Dyn, Nir Sharon
We develop a unified framework for nonlinear subdivision schemes on complete metric spaces (CMS). We begin with CMS preliminaries and formalize refinement in CMS, retaining key str…
Anchor-Based Function Extrapolation with Proven Bounds and Projection Guarantees
Guy Hay, Nir Sharon
Classical approximation and learning methods are typically optimized for interpolation over a sampled domain Ω, with no guarantees on their behavior in an extrapolation region Î,…
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…
Provable algorithms for multi-reference alignment over $\SO(2)$
Gil Drozatz, Tamir Bendory, Nir Sharon
The multi-reference alignment (MRA) problem involves reconstructing a signal from multiple noisy observations, each transformed by a random group element. In this paper, we focus o…
Flexible rational approximation and its application for matrix functions
Nir Sharon, Vinesha Peiris, Nadia Sukhorukova +1
This paper proposes a unique optimization approach for estimating the minimax rational approximation and its application for evaluating matrix functions. Our method enables the ext…
Improving the convergence analysis of linear subdivision schemes
Nira Dyn, Nir Sharon
This work presents several new results concerning the analysis of the convergence of binary, univariate, and linear subdivision schemes, all related to the {\it contractivity facto…