Kevin Ren

collaborators

2 papers

stat.ML2025

Reconstruction of Manifold Distances from Noisy Observations

Charles Fefferman, Jonathan Marty, Kevin Ren

We consider the problem of reconstructing the intrinsic geometry of a manifold from noisy pairwise distance observations. Specifically, let $M$ denote a diameter 1 d-dimensional ma…

math.CA2024

Sobolev extension in a simple case

Marjorie Drake, Charles Fefferman, Kevin Ren +1

In this paper, we establish the existence of a bounded, linear extension operator $T : L^{2, p} (E) \to L^{2, p} (R^{2})$ when $1 < p < 2$ and $E$ is a finite subset of $\mathbb{R}^2…