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Cited by 419

The DOI matches its Crossref record; 104 of the 104 references it cites were found in a registry or an index.

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

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Komodakis, Nikos, Pesquet, Jean-Christophe·2015·IEEE Signal Processing Magazine

Abstract

Optimization methods are at the core of many problems in signal/image processing, computer vision, and machine learning. For a long time, it has been recognized that looking at the dual of an optimization problem may drastically simplify its solution. However, deriving efficient strategies that jointly bring into play the primal and dual problems is a more recent idea that has generated many important new contributions in recent years. These novel developments are grounded in the recent advances in convex analysis, discrete optimization, parallel processing, and nonsmooth optimization with an emphasis on sparsity issues. In this article, we aim to present the principles of primal-dual approaches while providing an overview of the numerical methods that have been proposed in different contexts. Last but not least, primal-dual methods lead to algorithms that are easily parallelizable. Today, such parallel algorithms are becoming increasingly important for efficiently handling high-dimensional problems.

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Metadata

Authors
Komodakis, N., & Pesquet, J.-C.
Venue
IEEE Signal Processing Magazine
Published
2015-11
Volume
32
Issue
6
Pages
31-54
ISSN
1053-5888 (ISSN-L)
OpenAlex
W1922442141
Cited by
419
References
104
FWCI
41.74
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Playing with Duality: An overview of recent primal?dual approaches for solving large-scale optimization problems. https://app.cochat.ai/papers/10.1109/msp.2014.2377273
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Komodakis, N., & Pesquet, J.-C. (2015). Playing with Duality: An overview of recent primal?dual approaches for solving large-scale optimization problems. IEEE Signal Processing Magazine. https://doi.org/10.1109/msp.2014.2377273

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