Qing Qu

activity

20142023

most citedComplete Dictionary Recovery over the Sphere I: Overview and the Geometric Picture

242 citations · 1.1k across the 27 of their papers we have counts for

collaborators

Showing cs.ITShow all

5 papers · 1 filter

cs.IT2016★ 191 cited

A Geometric Analysis of Phase Retrieval

Ju Sun, Qing Qu, John Wright

Can we recover a complex signal from its Fourier magnitudes? More generally, given a set of $m$ measurements, $y_{k} = ∣ a_{k}^{*} x ∣$ for $k = 1, \dots, m$ , is it possibl…

cs.IT2015★ 121 cited

Complete Dictionary Recovery over the Sphere II: Recovery by Riemannian Trust-region Method

Ju Sun, Qing Qu, John Wright

We consider the problem of recovering a complete (i.e., square and invertible) matrix $A_{0}$ , from $Y \in R^{n \times p}$ with $\mathbf Y = \mathbf A_0 \mat…

cs.IT2015★ 242 cited

Complete Dictionary Recovery over the Sphere I: Overview and the Geometric Picture

Ju Sun, Qing Qu, John Wright

We consider the problem of recovering a complete (i.e., square and invertible) matrix $A_{0}$ , from $Y \in R^{n \times p}$ with $\mathbf Y = \mathbf A_0 \mat…

cs.IT2015★ 38 cited

Complete Dictionary Recovery over the Sphere

Ju Sun, Qing Qu, John Wright

We consider the problem of recovering a complete (i.e., square and invertible) matrix $A_{0}$ , from $Y \in R^{n \times p}$ with $\mathbf Y = \mathbf A_0 \math…

cs.IT2014★ 50 cited

Finding a sparse vector in a subspace: Linear sparsity using alternating directions

Qing Qu, Ju Sun, John Wright

Is it possible to find the sparsest vector (direction) in a generic subspace $S \subseteq R^{p}$ with $dim (S) = n < p$ ? This problem can be consi…