24 citations · 71 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
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…
Convergence rates of vector-valued local polynomial regression
Yariv Aizenbud, Barak Sober
Non-parametric estimation of functions as well as their derivatives by means of local-polynomial regression is a subject that was studied in the literature since the late 1970's. G…
Non-Parametric Estimation of Manifolds from Noisy Data
Yariv Aizenbud, Barak Sober
A common observation in data-driven applications is that high dimensional data has a low intrinsic dimension, at least locally. In this work, we consider the problem of estimating…
Approximating the Span of Principal Components via Iterative Least-Squares
Yariv Aizenbud, Barak Sober
In the course of the last century, Principal Component Analysis (PCA) have become one of the pillars of modern scientific methods. Although PCA is normally addressed as a statistic…