425 citations · 1.1k across the 32 of their papers we have counts for
4 papers · 2 filters
An Alternating Direction Method for Total Variation Denoising
Zhiwei Qin, Donald Goldfarb, Shiqian Ma
We consider the image denoising problem using total variation (TV) regularization. This problem can be computationally challenging to solve due to the non-differentiability and non…
Accelerated Linearized Bregman Method
Bo Huang, Shiqian Ma, Donald Goldfarb
In this paper, we propose and analyze an accelerated linearized Bregman (ALB) method for solving the basis pursuit and related sparse optimization problems. This accelerated algori…
Fast First-Order Methods for Stable Principal Component Pursuit
Necdet Serhat Aybat, Donald Goldfarb, Garud Iyengar
The stable principal component pursuit (SPCP) problem is a non-smooth convex optimization problem, the solution of which has been shown both in theory and in practice to enable one…
Structured Sparsity via Alternating Direction Methods
Zhiwei Qin, Donald Goldfarb
We consider a class of sparse learning problems in high dimensional feature space regularized by a structured sparsity-inducing norm which incorporates prior knowledge of the group…