5 citations · 11 across the 8 of their papers we have counts for
4 papers · 1 filter
Studying Morphological Variation: Exploring the Shape Space in Evolutionary Anthropology
Shira Faigenbaum-Golovin, Ingrid Daubechies
We present results of a long-term team collaboration of mathematicians and biologists. We focus on building a mathematical framework for the shape space constituted by a collection…
Manifold Repairing, Reconstruction and Denoising from Scattered Data in High-Dimension
Shira Faigenbaum-Golovin, David Levin
We consider a problem of great practical interest: the repairing and recovery of a low-dimensional manifold embedded in high-dimensional space from noisy scattered data. Suppose th…
Approximation of Functions on Manifolds in High Dimension from Noisy Scattered Data
Shira Faigenbaum-Golovin, David Levin
In this paper, we consider the fundamental problem of approximation of functions on a low-dimensional manifold embedded in a high-dimensional space, with noise affecting both in th…
Manifold Reconstruction and Denoising from Scattered Data in High Dimension via a Generalization of -Median
Shira Faigenbaum-Golovin, David Levin
In this paper, we present a method for denoising and reconstruction of low-dimensional manifold in high-dimensional space. We suggest a multidimensional extension of the Locally Op…