221 citations · 1.5k across the 104 of their papers we have counts for
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Parallel proximal methods for total variation minimization
Ulugbek S. Kamilov
Total variation (TV) is a widely used regularizer for stabilizing the solution of ill-posed inverse problems. In this paper, we propose a novel proximal-gradient algorithm for mini…
Inference for Generalized Linear Models via Alternating Directions and Bethe Free Energy Minimization
Sundeep Rangan, Alyson K. Fletcher, Philip Schniter +1
Generalized Linear Models (GLMs), where a random vector is observed through a noisy, possibly nonlinear, function of a linear transform arise…
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…
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…
Message-Passing Estimation from Quantized Samples
Ulugbek Kamilov, Vivek K. Goyal, Sundeep Rangan
Estimation of a vector from quantized linear measurements is a common problem for which simple linear techniques are suboptimal -- sometimes greatly so. This paper develops general…
Optimal Quantization for Compressive Sensing under Message Passing Reconstruction
Ulugbek Kamilov, Vivek K Goyal, Sundeep Rangan
We consider the optimal quantization of compressive sensing measurements following the work on generalization of relaxed belief propagation (BP) for arbitrary measurement channels.…