Y. Plan

activity

20082025

ℓ_{1}

minimization

294 citations · 389 across the 12 of their papers we have counts for

collaborators

Showing math.PRShow all

2 papers · 1 filter

math.PR2025

Random matrices acting on sets: Independent columns

Yaniv Plan, Roman Vershynin

We study random matrices with independent subgaussian columns. Assuming each column has a fixed Euclidean norm, we establish conditions under which such matrices act as near-isomet…

math.PR2016

A simple tool for bounding the deviation of random matrices on geometric sets

Christopher Liaw, Abbas Mehrabian, Yaniv Plan +1

Let $A$ be an isotropic, sub-gaussian $m \times n$ matrix. We prove that the process $Z_{x} := ∥ A x ∥_{2} - m ∥ x ∥_{2}$ has sub-gaussian increments. Using this, we show that for a…