Arman Tavakoli

collaborators

3 papers

math.DG2022

Characterizing unit spheres in Euclidean spaces via reach and volume

Mark Iwen, Benjamin Schmidt, Arman Tavakoli

Let $M$ be a smooth, connected, compact submanifold of $R^{n}$ without boundary and of dimension $k \geq 2$ . Let $S^{k} \subset R^{k + 1} \subset R^{n}$ d…

cs.IT2021

On Fast Johnson-Lindenstrauss Embeddings of Compact Submanifolds of $R^{N}$ with Boundary

Mark A. Iwen, Benjamin Schmidt, Arman Tavakoli

Let $M$ be a smooth $d$ -dimensional submanifold of $R^{N}$ with boundary that's equipped with the Euclidean (chordal) metric, and choose $m \leq N$ . In this paper…

math.NA2021

Lower Bounds on the Low-Distortion Embedding Dimension of Submanifolds of $R^{n}$

Mark Iwen, Arman Tavakoli, Benjamin Schmidt

Let $M$ be a smooth submanifold of $R^{n}$ equipped with the Euclidean (chordal) metric. This note considers the smallest dimension $m$ for which there exists a bi…

Characterizing unit spheres in Euclidean spaces via reach and volume

On Fast Johnson-Lindenstrauss Embeddings of Compact Submanifolds of RN with Boundary

Lower Bounds on the Low-Distortion Embedding Dimension of Submanifolds of Rn

On Fast Johnson-Lindenstrauss Embeddings of Compact Submanifolds of $R^{N}$ with Boundary

Lower Bounds on the Low-Distortion Embedding Dimension of Submanifolds of $R^{n}$