A first-order primal-dual algorithm with linesearch

Alternating direction method with self-adaptive penalty parameters for monotone variational inequalities

B. He, H. Yang, and S. Wang · 2000

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A modified forward-backward splitting method for maximal monotone mappings

P. Tseng · 2000

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Efficient projections onto the l 1 l_{1} -ball for learning in high dimensions

J. Duchi, S. Shalev-Shwartz, Y. Singer, and T. Chandra · 2008

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A fast iterative shrinkage-thresholding algorithm for linear inverse problem

A. Beck and M. Teboulle · 2009

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Sparse reconstruction by separable approximation

S. J. Wright, R. D. Nowak, and M. A. Figueiredo · 2009

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Fast global convergence rates of gradient methods for high-dimensional statistical recovery

A. Agarwal, S. Negahban, and M. J. Wainwright · 2010

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Convex Analysis and Monotone Operator Theory in Hilbert Spaces

H. H. Bauschke and P. L. Combettes · 2011

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A first-order primal-dual algorithm for convex problems with applications to imaging

A. Chambolle and T. Pock · 2011

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Diagonal preconditioning for first order primal-dual algorithms in convex optimization

T. Pock and A. Chambolle · 2011

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Convergence analysis of primal-dual algorithms for a saddle-point problem: From contraction perspective

B. He and X. Yuan · 2012

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A primal–dual splitting method for convex optimization involving lipschitzian, proximable and linear composite terms

L. Condat · 2013

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Adaptive primal-dual hybrid gradient methods for saddle-point problems

Original

T. Goldstein, M. Li, X. Yuan, E. Esser, and R. Baraniuk · 2013

Cited alongside, same era.

On the ergodic convergence rates of a first-order primal–dual algorithm

A. Chambolle and T. Pock · 2015

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Adaptive primal-dual splitting methods for statistical learning and image processing

T. Goldstein, M. Li, and X. Yuan · 2015

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Playing with duality: An overview of recent primal-dual approaches for solving large-scale optimization problems

N. Komodakis and J. C. Pesquet · 2015

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Reflected projected gradient method for solving monotone variational inequalities

Y. Malitsky · 2015

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An introduction to continuous optimization for imaging

A. Chambolle and T. Pock · 2016

Closest in time.

Proximal extrapolated gradient methods for variational inequalities

Y. Malitsky · 2018