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math.OC2011★ 5 cited
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…
math.OC2011★ 34 cited
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…