IEEE Trans Image Process - Fast l1-minimization algorithms for robust face recognition.

Tópicos

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Resumo

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.

Resumo Limpo

lminim refer find minimum lnorm solut underdetermin linear system formula see text certain condit describ compress sens theori minimum lnorm solut also sparsest solut paper studi speed scalabl algorithm particular focus numer implement sparsitybas classif framework robust face recognit spars represent sought recov human ident highdimension facial imag may corrupt illumin facial disguis pose variat although under numer problem linear program tradit algorithm known suffer poor scalabl largescal applic investig new solut base classic convex optim framework known augment lagrangian method conduct extens experi valid compar perform sever popular lminim solver includ interiorpoint method homotopi fista sesoppcd approxim messag pass tfoc aid peer evalu code algorithm made public avail

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