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Cited by 341

The DOI matches its Crossref record; 55 of the 55 references it cites were found in a registry or an index.

Fast $\ell_{1}$-Minimization Algorithms for Robust Face Recognition

Yang, Allen Y., Zhou, Zihan, Balasubramanian, Arvind Ganesh, Sastry, S. Shankar, Ma, Yi·2013·IEEE Transactions on Image Processing

Abstract

l1-minimization refers to finding the minimum l1-norm solution to an underdetermined linear system [Formula: see text]. Under certain conditions as described in compressive sensing theory, the minimum l1-norm solution is also the sparsest solution. In this paper, we study the speed and scalability of its algorithms. In particular, we focus on the numerical implementation of a sparsity-based classification framework in robust face recognition, where sparse representation is sought to recover human identities from high-dimensional facial images that may be corrupted by illumination, facial disguise, and pose variation. Although the underlying numerical problem is a linear program, traditional algorithms are known to suffer poor scalability for large-scale applications. We investigate a new solution based on a classical convex optimization framework, known as augmented Lagrangian methods. We conduct extensive experiments to validate and compare its performance against several popular l1-minimization solvers, including interior-point method, Homotopy, FISTA, SESOP-PCD, approximate message passing, and TFOCS. To aid peer evaluation, the code for all the algorithms has been made publicly available.

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Metadata

Authors
Yang, A. Y., Zhou, Z., Balasubramanian, A. G., Sastry, S. S., & Ma, Y.
Venue
IEEE Transactions on Image Processing
Published
2013-08
Volume
22
Issue
8
Pages
3234-3246
ISSN
  • 1057-7149 (ISSN-L)
  • 1941-0042
OpenAlex
W2963689635
Cited by
341
References
55
FWCI
43.98
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Fast $\ell_{1}$-Minimization Algorithms for Robust Face Recognition. https://app.cochat.ai/papers/10.1109/tip.2013.2262292
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Yang, A. Y., Zhou, Z., Balasubramanian, A. G., Sastry, S. S., & Ma, Y. (2013). Fast $\ell_{1}$-Minimization Algorithms for Robust Face Recognition. IEEE Transactions on Image Processing. https://doi.org/10.1109/tip.2013.2262292

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