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This paper studies least-square regression penalized with partly smooth convex regularizers.
Nonlinear total variation based noise removal algorithms
L.I. Rudin, S. Osher, and E. Fatemi · 1992
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Identifiable surfaces in constrained optimization
S. J. Wright · 1993
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Regression shrinkage and selection via the Lasso
R. Tibshirani · 1996
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Variational analysis
R.T. Rockafellar and R. Wets · 1998
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Atomic decomposition by basis pursuit
S.S. Chen, D.L. Donoho, and M.A. Saunders · 1999
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Asymptotics for Lasso-Type Estimators
K. Knight and W. Fu · 2000
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The u u -lagrangian of a convex function
C. Lemaréchal, F. Oustry, and C. Sagastizábal · 2000
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Local differentiability of distance functions
R.A. Poliquin, R.T. Rockafellar, and L. Thibault · 2000
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Active sets, nonsmoothness, and sensitivity
A. S. Lewis · 2003
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The mathematics of eigenvalue optimization
A. S. Lewis · 2003
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Convergence rates of convex variational regularization
M. Burger and S. Osher · 2004
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On sparse representations in arbitrary redundant bases
J.J. Fuchs · 2004
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Identifying active constraints via partial smoothness and prox- regularity
W.L. Hare and A.S. Lewis · 2004
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Model selection and estimation in regression with grouped variables
M. Yuan and Y. Lin · 2005
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On model selection consistency of Lasso
P. Zhao and B. Yu · 2006
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Identifying active manifolds
W. Hare and A. S. Lewis · 2007
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Consistency of the group Lasso and multiple kernel learning
F.R. Bach · 2008
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Consistency of trace norm minimization
F.R. Bach · 2008
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Alternating projections on manifolds
A. S. Lewis and J. Malick · 2008
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Exact matrix completion via convex optimization
E. Candès and B. Recht · 2009
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The power of convex relaxation: Near-optimal matrix completion
E.J. Candès and T. Tao · 2009
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Variational Methods in Imaging
O. Scherzer, M. Grasmair, H. Grossauer, M. Haltmeier, and F. Lenzen · 2009
Trace lasso: a trace norm regularization for correlated designs
E. Grave, G. Obozinski, and F. Bach · 2011
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Identifying active manifolds in regularization problems
W.L. Hare · 2011
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Sharp support recovery from noisy random measurements by l1 minimization
C. Dossal, M.L. Chabanol, G. Peyré, and J. Fadili · 2012
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Simultaneously structured models with application to sparse and low-rank matrices
S. Oymak, A. Jalali, M. Fazel, Y.C. Eldar, and B. Hassibi · 2012
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Simple bounds for recovering low-complexity models
E.J. Candès and B. Recht · 2013
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Phaselift: Exact and stable signal recovery from magnitude measurements via convex programming
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Sharp thresholds for high-dimensional and noisy sparsity recovery using ℓ 1 \ell_{1} -constrained quadratic programming (lasso)
M. J. Wainwright · 2009
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Matrix completion with noise
E.J. Candès and Y. Plan · 2010
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On model selection consistency of the elastic net when p ≫ n p\gg n
J. Jia and B. Yu · 2010
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Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization
B. Recht, M. Fazel, and P.A. Parrilo · 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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E.J. Candès, T. Strohmer, and V. Voroninski · 2013
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Exact support recovery for sparse spikes deconvolution
V. Duval and G. Peyré · 2013
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Stable recovery with analysis decomposable priors
J. Fadili, G. Peyré, S. Vaiter, C. Deledalle, and J. Salmon · 2013
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Partial smoothness, tilt stability, and generalized hessians
A. S. Lewis and S. Zhang · 2013
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Intersecting singularities for multi-structured estimation
E. Richard, F.R. Bach, and J-P. Vert · 2013
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Model selection with piecewise regular gauges
S. Vaiter, M. Golbabaee, J. Fadili, and G. Peyré · 2013
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Robust sparse analysis regularization
S. Vaiter, G. Peyré, C. Dossal, and M.J. Fadili · 2013
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Orthogonal invariance and identifiability
A. Daniilidis, D. Drusvyatskiy, and A. S. Lewis · 2014
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Spectral (isotropic) manifolds and their dimension
A. DANIILIDIS, J. MALICK, and H. SENDOV · 2014
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