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math.ST2026
Moving Least Squares without Quasi-Uniformity: A Stochastic Approach
Shir Tapiro-Moshe, Yariv Aizenbud, Barak Sober
Local Polynomial Regression (LPR) and Moving Least Squares (MLS) are closely related nonparametric estimation methods, developed independently in statistics and approximation theor…
math.ST2025
Estimation of Local Geometric Structure on Manifolds from Noisy Data
Yariv Aizenbud, Barak Sober
A common observation in data-driven applications is that high-dimensional data have a low intrinsic dimension, at least locally. In this work, we consider the problem of point esti…