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- Alyson K. Fletcher, Sundeep Rangan, Vivek K. Goyal
- IEEE Transactions on Information Theory
- 2009

The paper considers the problem of detecting the sparsity pattern of a k -sparse vector in \BBR n from m random noisy measurements. A new necessary condition on the number of measurements forâ€¦ (More)

- Sundeep Rangan, Alyson K. Fletcher, Vivek K. Goyal
- IEEE Transactions on Information Theory
- 2012

The replica method is a nonrigorous but well-known technique from statistical physics used in the asymptotic analysis of large, random, nonlinear problems. This paper applies the replica method,â€¦ (More)

- Alyson K. Fletcher, Sundeep Rangan, Vivek K. Goyal
- ArXiv
- 2009

This paper considers a simple onâ€“off random multiple access channel, where n users communicate simultaneously to a single receiver overm degrees of freedom. Each user transmits with probability Î»,â€¦ (More)

- Sundeep Rangan, Philip Schniter, Alyson K. Fletcher
- 2017 IEEE International Symposium on Informationâ€¦
- 2017

The standard linear regression (SLR) problem is to recover a vector x0 from noisy linear observations y = Ax0 + w. The approximate message passing (AMP) algorithm recently proposed by Donoho, Maleki,â€¦ (More)

- Sundeep Rangan, Philip Schniter, Alyson K. Fletcher
- 2014 IEEE International Symposium on Informationâ€¦
- 2014

Approximate message passing (AMP) methods and their variants have attracted considerable recent attention for the problem of estimating a random vector x observed through a linear transform A. In theâ€¦ (More)

- Sundeep Rangan, Alyson K. Fletcher, Vivek K. Goyal
- NIPS
- 2009

The replica method is a non-rigorous but widely-accepted te chnique from statistical physics used in the asymptotic analysis of large, rand om, nonlinear problems. This paper applies the replicaâ€¦ (More)

- Sundeep Rangan, Alyson K. Fletcher
- 2012 IEEE International Symposium on Informationâ€¦
- 2012

We consider the problem of estimating a rank-one matrix in Gaussian noise under a probabilistic model for the left and right factors of the matrix. The probabilistic model can impose constraints onâ€¦ (More)

- Sundeep Rangan, Alyson K. Fletcher, Vivek K. Goyal, Philip Schniter
- 2012 IEEE International Symposium on Informationâ€¦
- 2012

Gaussian and quadratic approximations of message passing algorithms on graphs have attracted considerable attention due to their computational simplicity, analytic tractability, and wideâ€¦ (More)

Approximate Message Passing With Consistent Parameter Estimation and Applications to Sparse Learning

- Ulugbek Kamilov, Sundeep Rangan, Alyson K. Fletcher, Michael Unser
- IEEE Transactions on Information Theory
- 2012

We consider the estimation of an independent and identically distributed (i.i.d.) (possibly non-Gaussian) vector x âˆˆ Rn from measurements y âˆˆ Rm obtained by a general cascade model consisting of aâ€¦ (More)

Coupling the periodic time-invariance of the wavelet transform with the view of thresholding as a projection yields a simple, recursive, wavelet-based technique for denoising signals. Estimating aâ€¦ (More)