Fetching the paper…
Reading the bibliography…
This paper considers the fundamental limit of compressed sensing for i.i.d.
A. J. Stam, “Some inequalities satisfied by the quantities of information of Fisher and Shannon,” Information and Control
1959
Earlier work this paper cites.
Addison-Wesley, 2nd ed., 1968
B. V. Gnedenko and A. N. Kolmogorov, Limit Distributions for Sums of Independent Random Variables · 1968
Earlier work this paper cites.
1968
Earlier work this paper cites.
S. F. Edwards and P. W. Anderson, “Theory of spin glasses,” Journal of Physics F: Metal Physics
1975
Earlier work this paper cites.
New York, NY: McGraw-Hill, 1976
W. Rudin, Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics) · 1976
Earlier work this paper cites.
S. Verdú and S. Shamai, “Spectral efficiency of cdma with random spreading,” IEEE Transactions on Information Theory
1999
Earlier work this paper cites.
D. N. C. Tse and S. Hanly, “Linear multiuser receivers: Effective interference, effective bandwith and user capacity,” IEEE Transactions on Information Theory
1999
Earlier work this paper cites.
Monographs and Surveys in Pure and Applied Mathematics, Chapman and Hall/CRC, 1999
A. K. Gupta and D. K. Nagar, Matrix Variate Distributions · 1999
Earlier work this paper cites.
T. Tanaka, “A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors,” IEEE Transactions on Information Theory
2002
Earlier work this paper cites.
P. Milgrom and I. Segal, “Envelope theorems for arbitrary choice sets,” Econometrica
2002
Earlier work this paper cites.
Cambridge University Press, 2002
D. Pollard, A User’s Guide to Measure Theoretic Probability · 2002
Earlier work this paper cites.
R. Muller, “Channel capacity and minimum probability of error in large dual antenna array systems with binary modulation,” IEEE Transactions on Signal Processing
2003
Earlier work this paper cites.
D. Guo and S. Verdú, “Randomly spread CDMA: Asymptotics via statistical physics,” IEEE Transactions on Information Theory
2005
Earlier work this paper cites.
D. Guo, S. Shamai, and S. Verdú, “Mutual information and minimum mean-square error in Gaussian channels,” IEEE Transactions on Information Theory
2005
Earlier work this paper cites.
D. Guo and C.-C. Wang, “Asymptotic mean-square optimality of belief propagation for sparse linear systems,” in Proceedings of the IEEE Information Theory Workshop
2006
Earlier work this paper cites.
A. Montanari and D. Tse, “Analysis of belief propagation for non-linear problems: The example of CDMA (or: How to prove Tanaka’s formula),” in Proceedings of the IEEE Information Theory Workshop
2006
Earlier work this paper cites.
D. P. Palomar and S. Verdú, “Gradient of mutual information in linear vector Gaussian channels,” IEEE Transactions on Information Theory
2006
Cited alongside, same era.
Y. Kabashima, T. Wadayama, and T. Tanaka, “A typical reconstruction limit for compressed sensing based on l p l_{p} -norm minimization,” Journal of Statistical Mechanics: Theory and Experiment
2009
Cited alongside, same era.
D. Guo, D. Baron, and S. Shamai, “A single-letter characterization of optimal noisy compressed sensing,” in The 47th Annual Allerton Conference on Communication, Control, and Computing
2009
Cited alongside, same era.
D. L. Donoho, A. Maleki, and A. Montanari, “Message-passing algorithms for compressed sensing,” Proceedings of the National Academy of Sciences
2009
Cited alongside, same era.
Oxford University Press, 2009
M. Mézard and A. Montanari, Information, physics, and computation · 2009
Y. Wu and S. Verdú, “MMSE dimension,” IEEE Transactions on Information Theory
2011
Later among the works it cites.
O. Rioul, “Information theoretic proofs of entropy power inequalities,” IEEE Transactions on Information Theory
2011
Later among the works it cites.
S. Rangan, A. K. Fletcher, and V. K. Goyal, “Asymptotic analysis of map estimation via the replica method and applications to compressed sensing,” IEEE Transactions on Information Theory
2012
Later among the works it cites.
G. Reeves and M. Gastpar, “The sampling rate-distortion tradeoff for sparsity pattern recovery in compressed sensing,” IEEE Transactions on Information Theory
2012
Later among the works it cites.
G. Reeves and M. Gastpar, “Compressed sensing phase transitions: Rigorous bounds versus replica predictions,” in Proceedings of the 46-th Annual Conference on Information Sciences and Systems (CISS 2012)
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Springer Science & Business Media, 2009
C. Niculescu and L.-E. Persson, Convex functions and their applications: A contemporary approach · 2009
Cited alongside, same era.
D. Baron, S. Sarvotham, and R. G. Baraniuk, “Bayesian compressive sensing via belief propagation,” IEEE Transactions on Signal Processing
2010
Cited alongside, same era.
S. Kudekar and H. D. Pfister, “The effect of spatial coupling on compressive sensing,” in The 48th Annual Allerton Conference on Communication, and Computation
2010
Cited alongside, same era.
S. B. Korada and N. Macris, “Tight bounds on the capicty of binary input random CDMA systems,” IEEE Transactions on Information Theory
2010
Cited alongside, same era.
N. Merhav, D. Guo, and S. Shamai, “Statistical physics of signal estimation in gaussian noise: Theory and examples of phase transitions,” IEEE Transactions on Information Theory
2010
Cited alongside, same era.
H. Hanche-Olsen and H. Holden, “The Kolmogorov–Riesz compactness theorem,” Expositiones Mathematicae
2010
Cited alongside, same era.
Boston, MA: Prentice Hall, 4th ed., 2010
H. Royden and P. Fitzpatrick, Real Analysis · 2010
Cited alongside, same era.
2012
Later among the works it cites.
M. Bayati, M. Lelarge, and A. Montanari, “Universality in polytope phase transitions and iterative algorithms,” in IEEE International Symposium on Information Theory
2012
Later among the works it cites.
F. Krzakala, M. Mézard, F. Sausset, Y. F. Sun, and L. Zdeborová, “Statistical-physics-based reconstruction in compressed sensing,” Physical Review X
2012
Later among the works it cites.
Y. Wu and S. Verdú, “Functional properties of minimum mean-square error and mutual information,” IEEE Transactions on Information Theory
2012
Later among the works it cites.
Cambridge University Press, second ed., 2012
R. A. Horn and C. R. Johnson, Matrix Analysis · 2012
Later among the works it cites.
A. Tulino, G. Caire, S. Verdú, and S. Shamai, “Support recovery with sparsely sampled free random matrices,” IEEE Transactions on Information Theory
2013
Later among the works it cites.
D. L. Donoho, A. Javanmard, and A. Montanari, “Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing,” IEEE Transactions on Information Theory
2013
Later among the works it cites.
Springer-Verlag, 2013
R. M. Gray, Entropy and Information Theory · 2013
Later among the works it cites.
Oxford University Press, 2013
S. Boucheron, G. Lugosi, and P. Massart, Concentration Inequalities: A Nonasymptotic Theory of Independence · 2013
Later among the works it cites.
Available at http://arxiv.org/abs/1312.3417
W. Huleihel and N. Merhav, “Asymptotic MMSE analysis under sparse representation modeling,” 2016 · 2016
Closest in time.
G. Reeves, “Conditional central limit theorems for random projections.” to be posted to arXiv, 2016
2016
Closest in time.
G. Reeves and H. D. Pfister, “The replica-symmetric prediction for compressed sensing with Gaussian matrices is exact,” in Proceedings of the IEEE International Symposium on Information Theory (ISIT 2016)
2016
Closest in time.