no code implementations • 22 May 2020 • Yunzi Ding, Dmitriy Kunisky, Alexander S. Wein, Afonso S. Bandeira
A matrix has the $(s,\delta)$-$\mathsf{RIP}$ property if behaves as a $\delta$-approximate isometry on $s$-sparse vectors.
no code implementations • 26 Jul 2019 • Yunzi Ding, Dmitriy Kunisky, Alexander S. Wein, Afonso S. Bandeira
Prior work has shown that when the signal-to-noise ratio ($\lambda$ or $\beta\sqrt{N/n}$, respectively) is a small constant and the fraction of nonzero entries in the planted vector is $\|x\|_0 / n = \rho$, it is possible to recover $x$ in polynomial time if $\rho \lesssim 1/\sqrt{n}$.
