Fetching the paper…
Reading the bibliography…
Compressive Sensing (CS) exploits the surprising fact that the information contained in a sparse signal can be preserved in a small number of compressive, often random linear measurements of that signal.
Curvature measures
H. Federer · 1959
Earlier work this paper cites.
Error and perturbation bounds for subspaces associated with certain eigenvalue problems
G. W. Stewart · 1973
Earlier work this paper cites.
Eigenfaces for recognition
M. Turk and A. Pentland · 1991
Earlier work this paper cites.
Modeling the manifolds of images of handwritten digits
G. E. Hinton, P. Dayan, and M. Revow · 1997
Earlier work this paper cites.
Approximate nearest neighbors: Towards removing the curse of dimenstionality
P. Indyk and R. Motwani · 1998
Earlier work this paper cites.
Adaptive estimation of a quadratic functional by model selection
B. Laurent and P. Massart · 2000
Earlier work this paper cites.
Database-friendly random projections
D. Achlioptas · 2001
Earlier work this paper cites.
The Whitney Reduction Network: A method for computing autoassociative graphs
D. S. Broomhead and M. J. Kirby · 2001
Earlier work this paper cites.
Decoding via linear programming
E. Candès and T. Tao · 2005
Earlier work this paper cites.
Image manifolds which are isometric to Euclidean space
D. L. Donoho and C. Grimes · 2005
Earlier work this paper cites.
Improved time bounds for near-optimal sparse Fourier representations
A. C. Gilbert, S. Muthukrishnan, and M. J. Strauss · 2005
Earlier work this paper cites.
The Generic Chaining: Upper and Lower Bounds of Stochastic Processes
M. Talagrand · 2005
Earlier work this paper cites.
The multiscale structure of non-differentiable image manifolds
M. B. Wakin, D. L. Donoho, H. Choi, and R. G. Baraniuk · 2005
Earlier work this paper cites.
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
E. Candès, J. Romberg, and T. Tao · 2006
Earlier work this paper cites.
Stable signal recovery from incomplete and inaccurate measurements
E. Candès, J. Romberg, and T. Tao · 2006
Earlier work this paper cites.
Near optimal signal recovery from random projections: Universal encoding strategies?
E. Candès and T. Tao · 2006
Earlier work this paper cites.
Compressed sensing
D. Donoho · 2006
Earlier work this paper cites.
Extensions of compressed sensing
D. Donoho and Y. Tsaig · 2006
Earlier work this paper cites.
Analog-to-information conversion via random demodulation
S. Kirolos, J. Laska, M. Wakin, M. Duarte, D. Baron, T. Ragheb, Y. Massoud, and R. Baraniuk · 2006
Earlier work this paper cites.
The Geometry of Low-Dimensional Signal Models
M. B. Wakin · 2006
Earlier work this paper cites.
The smashed filter for compressive classification and target recognition
M. A. Davenport, M. F. Duarte, M. B. Wakin, J. N. Laska, D. Takhar, K. F. Kelly, and R. G. Baraniuk · 2007
Earlier work this paper cites.
Multiscale random projections for compressive classification
M. Duarte, M. Davenport, M. Wakin, J. Laska, D. Takhar, K. Kelly, and R. Baraniuk · 2007
Earlier work this paper cites.
One sketch for all: Fast algorithms for compressed sensing
A.C. Gilbert, M.J. Strauss, J.A. Tropp, and R. Vershynin · 2007
Cited alongside, same era.
Random projections for manifold learning
C. Hegde, M. B. Wakin, and R. G. Baraniuk · 2007
Cited alongside, same era.
A simple proof of the Restricted Isometry Property for random matrices
R. Baraniuk, M. Davenport, R. DeVore, and M. Wakin · 2008
Cited alongside, same era.
The Restricted Isometry Property and its implications for compressed sensing
E. J. Candès · 2008
Cited alongside, same era.
An introduction to compressive sampling
E. J. Candès and M. B. Wakin · 2008
Cited alongside, same era.
Tighter bounds for random projections of manifolds
K. L. Clarkson · 2008
Cited alongside, same era.
Signal recovery from incomplete and inaccurate measurements via regularized orthogonal matching pursuit
D. Needell and R. Vershynin · 2010
Later among the works it cites.
NIST Handbook of Mathematical Functions
F. W. J. Olver and National Institute of Standards and Technology (U.S.) · 2010
Later among the works it cites.
Compressive sensing and structured random matrices
H. Rauhut · 2010
Later among the works it cites.
Sparse channel separation using random probes
J. Romberg and R. Neelamani · 2010
Later among the works it cites.
Beyond Nyquist: Efficient sampling of sparse bandlimited signals
J. A. Tropp, J. N. Laska, M. F. Duarte, J. K. Romberg, and R. G. Baraniuk · 2010
Later among the works it cites.
Probability in Banach Spaces: Isoperimetry and Processes
M. Ledoux and M. Talagrand · 2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Single-pixel imaging via compressive sampling
M. F. Duarte, M. A. Davenport, D. Takbar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk · 2008
Cited alongside, same era.
A tutorial on fast Fourier sampling
A. C. Gilbert, M. J. Strauss, and J. A. Tropp · 2008
Cited alongside, same era.
Compression at the physical interface
D. Healy and D. J. Brady · 2008
Cited alongside, same era.
Compressed sensing MRI
M. Lustig, D. L. Donoho, J. M. Santos, and J. M. Pauly · 2008
Cited alongside, same era.
Finding the homology of submanifolds with high confidence from random samples
P. Niyogi, S. Smale, and S. Weinberger · 2008
Cited alongside, same era.
On sparse reconstruction from Fourier and Gaussian measurements
M. Rudelson and R. Vershynin · 2008
Cited alongside, same era.
Discrete-Time Signal Processing
A. V. Oppenheim and R. W. Schafer · 2011
Later among the works it cites.
Iterative projections for signal identification on manifolds: Global recovery guarantees
P. Shah and V. Chandrasekaran · 2011
Later among the works it cites.
The Restricted Isometry Property for random block diagonal matrices
A. Eftekhari, H. L. Yap, C. J. Rozell, and M. B. Wakin · 2012
Later among the works it cites.
Signal recovery on incoherent manifolds
C. Hegde and R. G. Baraniuk · 2012
Later among the works it cites.
Suprema of chaos processes and the Restricted Isometry Property
F. Krahmer, S. Mendelson, and H. Rauhut · 2012
Later among the works it cites.
A geometric approach to multi-view compressive imaging
J. Y. Park and M. B. Wakin · 2012
Later among the works it cites.
Compressive estimation in AWGN: General observations and a case study
D. Ramasamy, S. Venkateswaran, and U. Madhow · 2012
Later among the works it cites.
Restricted isometries for partial random circulant matrices
H. Rauhut, J. Romberg, and J. Tropp · 2012
Later among the works it cites.
Introduction to the non-asymptotic analysis of random matrices
R. Vershynin · 2012
Later among the works it cites.
Measurement bounds for sparse signal ensembles via graphical models
M. F. Duarte, M. B. Wakin, D. Baron, S. Sarvotham, and R. G. Baraniuk · 2013
Closest in time.
Matched filtering from limited frequency samples
A. Eftekhari, J. Romberg, and M. B. Wakin · 2013
Closest in time.
Approximation of points on low-dimensional manifolds via random linear projections
M. A. Iwen and M. Maggioni · 2013
Closest in time.
Distance preserving embeddings for general
N. Verma · 2013
Closest in time.
Some geometric properties of sampled sinusoids
H. L. Yap, M. B. Wakin, and C. J. Rozell · 2013
Closest in time.
Stable manifold embeddings with structured random matrices
H. L. Yap, M. B. Wakin, and C.J. Rozell · 2013
Closest in time.