221 citations · 1.5k across the 104 of their papers we have counts for
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Sparse Stochastic Processes and Discretization of Linear Inverse Problems
Emrah Bostan, Ulugbek S. Kamilov, Masih Nilchian +1
We present a novel statistically-based discretization paradigm and derive a class of maximum a posteriori (MAP) estimators for solving ill-conditioned linear inverse problems. We a…
Bayesian Estimation for Continuous-Time Sparse Stochastic Processes
Arash Amini, Ulugbek S. Kamilov, Emrah Bostan +1
We consider continuous-time sparse stochastic processes from which we have only a finite number of noisy/noiseless samples. Our goal is to estimate the noiseless samples (denoising…
Approximate Message Passing with Consistent Parameter Estimation and Applications to Sparse Learning
Ulugbek S. Kamilov, Sundeep Rangan, Alyson K. Fletcher +1
We consider the estimation of an i.i.d. (possibly non-Gaussian) vector $\xbf \in \R^n$ from measurements $\ybf \in \R^m$ obtained by a general cascade model consisting of a known l…