Dynamical Functional Theory for Compressed Sensing

P. C. Martin, E. D. Siggia, and H. A. Rose, “Statistical dynamics of classical systems,” Physical Review A , vol. 8.1, p. 423, 1973

1973

Earlier work this paper cites.

J. R. L. De Almeida and D. J. Thouless, “Stability of the Sherrington-Kirkpatrick solution of a spin glass model,” Journal of Physics A: Mathematical and General , vol. 11, no. 5, p. 983, 1978

1978

Earlier work this paper cites.

M. Mézard, G. Parisi, and M. Virasoro, Spin Glass Theory and Beyond . World Scientific, 1987, vol. 9

1987

Earlier work this paper cites.

H. Eisfeller and M. Opper, “New method for studying the dynamics of disordered spin systems without finite-size effects,” Physical Review Letters , vol. 68, p. 2094, 1992

1992

Earlier work this paper cites.

E. Marinari, G. Parisi, and F. Ritort, “Replica field theory for deterministic models. ii. a non-random spin glass with glassy behaviour,” Journal of Physics A: Mathematical and General , vol. 27.23, p. 7647, 1994

1994

Earlier work this paper cites.

L. F. Cugliandolo and J. Kurchan, “On the out-of-equilibrium relaxation of the Sherrington-Kirkpatrick model,” Journal of Physics A: Mathematical and General , vol. 27.17, p. 5749, 1994

1994

Earlier work this paper cites.

M. Opper and O. Winther, “Adaptive and self-averaging Thouless-Anderson-Palmer mean field theory for probabilistic modeling,” Physical Review E , vol. 64, pp. 056 131–(1–14), October 2001

2001

Earlier work this paper cites.

A. M. Tulino and S. Verdú, Random Matrix Theory and Wireless Communications . Now Publishers Inc., June 2004, vol. 1, no. 1

2004

Earlier work this paper cites.

——, “Expectation consistent approximate inference,” Journal of Machine Learning Research , 6 (2005): 2177-2204

2005

Earlier work this paper cites.

B. Collins and P. Śniady, “New scaling of Itzykson–Zuber integrals,” Annales de l’Institut Henri Poincare (B) Probability and Statistics , vol. 43, no. 2, pp. 139 – 146, 2007

2007

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 , vol. 106, no. 45, pp. 18 914–18 919, September 2009

2009

Cited alongside, same era.

P. Deift and D. Gioev, Random Matrix Theory: Invariant Ensembles and Universality . American Mathematical Society, 2009, vol. 18

2009

Cited alongside, same era.

N. Merhav, Statistical Physics and Information Theory . Foundations and Trends in Communications and Information Theory, 2010, vol. 6, no. 1–2

2010

Cited alongside, same era.

M. Bayati and A. Montanari, “The dynamics of message passing on dense graphs, with applications to compressed sensing,” IEEE Transactions on Information Theory , vol. 57, no. 2, pp. 764–785, February 2011

K. Mimura and M. Okada, “Generating functional analysis for iterative CDMA multiuser detectors,” IEEE Transactions on Information Theory , vol. 60, no. 6, pp. 3645–3670, June 2014

2014

Later among the works it cites.

M. Bayati, M. Lelarge, and A. Montanari, “Universality in polytope phase transitions and message passing algorithms,” The Annals of Applied Probability , vol. 25, no. 2, pp. 753–822, April 2015

2015

Later among the works it cites.

J. Barbier, M. Dia, N. Macris, and F. Krzakala, “The mutual information in random linear estimation,” arXiv preprint arXiv: 1607.02335 , September 2016

2016

Later among the works it cites.

M. Vehkaperä, Y. Kabashima, and S. Chatterjee, “Analysis of regularized ls reconstruction and random matrix ensembles in compressed sensing,” IEEE Transactions on Information Theory , vol. 62, no. 4, pp. 2100–2124, April 2016

2016

Later among the works it cites.