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Sparse linear inverse problems appear in a variety of settings, but often the noise contaminating observations cannot accurately be described as bounded by or arising from a Gaussian distribution.
Ideal spatial adaptation by wavelet shrinkage
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Regression shrinkage and selection via the lasso
R. Tibshirani · 1996
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Poisson-based regression analysis of aggregate crime rates
D. W. Osgood · 2000
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Exponential and moment inequalities for U U -statistics
E. Giné, R. Latała, and J. Zinn · 2000
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Platelets: a multiscale approach for recovering edges and surfaces in photon-limited medical imaging
R. M. Willett and R. D. Nowak · 2003
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New directions in traffic measurement and accounting: Focusing on the elephants, ignoring the mice
C. Estan and G. Varghese · 2003
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Exponential inequalities, with constants, for u-statistics of order two
C. Houdré and P. Reynaud-Bouret · 2003
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On minimax density estimation on ℝ \mathbb{R}
A. Juditsky and S. Lambert-Lacroix · 2004
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FADO: a statistical method to detect favored or avoided distances between occurrences of motifs using the Hawkes’ model
G. Gusto and S. Schbath · 2005
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Near-optimal signal recovery from random projections: Universal encoding strategies?
E. J. Candes and T. Tao · 2006
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Compressed sensing
D. L. Donoho · 2006
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The adaptive Lasso and its oracle properties
H. Zou · 2006
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Aggregation for Gaussian regression
F. Bunea, A. B. Tsybakov, and M. H. Wegkamp · 2007
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The dantzig selector: Statistical estimation when p is much larger than n
E. Candes and T. Tao · 2007
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Concentration inequalities and model selection
P. Massart · 2007
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Counter Braids: A novel counter architecture for per-flow measurement
Y. Lu, A. Montanari, B. Prabhakar, S. Dharmapurikar, and A. Kabbani · 2008
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Sup-norm convergence rate and sign concentration property of Lasso and Dantzig estimators
K. Lounici · 2008
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High-dimensional generalized linear models and the LASSO
S. A. Van de Geer · 2008
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“Preconditioning” for feature selection and regression in high-dimensional problems
Debashis Paul, Eric Bair, Trevor Hastie, and Robert Tibshirani · 2008
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The restricted isometry property and its implications for compressed sensing
E. Candès · 2008
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Adaptive Lasso for sparse high-dimensional regression models
J. Huang, S. Ma, and C.-H. Zhang · 2008
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Single pixel imaging via compressive sampling
M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk · 2008
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Compressive coded aperture superresolution image reconstruction
R. F. Marcia and R. M. Willett · 2008
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Uniform uncertainty principle for bernoulli and subgaussian ensembles
S. Mendelson, A. Pajor, and N. Tomczak-Jaegermann · 2008
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Sparsity regularization for image reconstruction with poisson data
D. J. Lingenfelter, J. A. Fessler, and Z. He · 2009
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Optimal “image-based” weighting for energy-resolved ct
Taly Gilat Schmidt · 2009
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The adaptive and the thresholded Lasso for potentially misspecified models (and a lower bound for the Lasso)
S. van de Geer, P. Bühlmann, and S. Zhou · 2011
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Accuracy guarantees for ℓ 1 \ell_{1} -recovery
A. Juditsky and A. Nemirovski · 2011
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Adaptive dantzig density estimation
K. Bertin, E. Le Pennec, and V. Rivoirard · 2011
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Adaptive density estimation: a curse of support?
P. Reynaud-Bouret, V. Rivoirard, and C. Tuleau-Malot · 2011
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Spatio-temporal compressed sensing with coded apertures and keyed exposures
Z. T. Harmany, R. F. Marcia, and R. M. Willett · 2011
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A probabilistic and ripless theory of compressed sensing
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Sparse signal recovery with exponential-family noise
I. Rish and G. Grabarnik · 2009
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Simultaneous analysis of Lasso and dantzig selector
P. J. Bickel, Y. Ritov, and A. B. Tsybakov · 2009
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A unified framework for high-dimensional analysis of m m -estimators with decomposable regularizers
S. Negahban, B. Yu, M. J. Wainwright, and P. K. Ravikumar · 2009
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Compressive sensing by random convolution
J. Romberg · 2009
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Astronomical data analysis and sparsity: from wavelets to compressed sensing
J.-L. Starck and J. Bobin · 2010
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Compressed sensing performance bounds under poisson noise
M. Raginsky, R. M. Willett, Z. T. Harmany, and R. F. Marcia · 2010
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E. J. Candes and Y. Plan · 2011
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Socioscope: Spatio-temporal signal recovery from social media
J.-M. Xu, A. Bhargava, R. Nowak, and X. Zhu · 2012
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Supernova ejecta in the youngest galactic supernova remnant g1.9+0.3
K. J. Borkowski, S. P. Reynolds, D. A. Green, U. Hwang, R. Petre, K. Krishnamurthy, and R. Willett · 2013
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A comparative framework for preconditioned lasso algorithms
Fabian L. Wauthier, Nebojsa Jojic, and Michael I. Jordan · 2013
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Nonuniform expansion of the youngest galactic supernova remnant g1.9+0.3
K. J. Borkowski, S. P. Reynolds, D. A. Green, U. Hwang, R. Petre, K. Krishnamurthy, and R. Willett · 2014
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Wavelet thresholding estimation in a poissonian interactions model with application to genomic data
L. Sansonnet · 2014
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Minimax optimal rates for poisson inverse problems with physical constraints
X. Jiang, G. Raskutti, and R. Willett · 2014
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Minimax optimal sparse signal recovery with poisson statistics
M. H. Rohban, D. Motamedvaziri, and V. Saligrama · 2015
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Lasso and probabilistic inequalities for multivariate point processes
N. R. Hansen, P. Reynaud-Bouret, and V. Rivoirard · 2015
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Statistical learning with sparsity: the lasso and generalizations
T. Hastie, R. Tibshirani, and M. Wainwright · 2015
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A model of Poissonian interactions and detection of dependence
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Adaptive lasso and group-lasso for functional poisson regression
S. Ivanoff, F. Picard, and V. Rivoirard · 2016
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Minimax optimal convex methods for poisson inverse problems under ℓ q \ell_{q} -ball sparsity
Y. Li and G. Raskutti · 2016
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Mathematical foundations of inifnite dimensional statistical models
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