45 citations · 97 across the 7 of their papers we have counts for
7 papers
Smooth optimization using global and local low-rank regularizers
Rodrigo A. Lobos, Javier Salazar Cavazos, Raj Rao Nadakuditi +1
Many inverse problems and signal processing problems involve low-rank regularizers based on the nuclear norm. Commonly, proximal gradient methods (PGM) are adopted to solve this ty…
Extended Version of "New Theory and Faster Computations for Subspace-Based Sensitivity Map Estimation in Multichannel MRI''
Rodrigo A. Lobos, Chin-Cheng Chan, Justin P. Haldar
This is an unabridged version of a journal manuscript that has been submitted for publication [1]. (Due to length restrictions, we were forced to remove substantial amounts of cont…
Optimality of the Maximum Likelihood estimator in Astrometry
Sebastian Espinosa, Jorge F. Silva, Rene A. Mendez +2
The problem of astrometry is revisited from the perspective of analyzing the attainability of well-known performance limits (the Cramer-Rao bound) for the estimation of the relativ…
Navigator-free EPI Ghost Correction with Structured Low-Rank Matrix Models: New Theory and Methods
Rodrigo A. Lobos, Tae Hyung Kim, W. Scott Hoge +1
Structured low-rank matrix models have previously been introduced to enable calibrationless MR image reconstruction from sub-Nyquist data, and such ideas have recently been extende…
Performance analysis of the Least-Squares estimator in Astrometry
Rodrigo A. Lobos, Jorge F. Silva, Rene A. Mendez +1
We characterize the performance of the widely-used least-squares estimator in astrometry in terms of a comparison with the Cramer-Rao lower variance bound. In this inference contex…
Analysis of the Cramer-Rao lower uncertainty bound in the joint estimation of astrometry and photometry
Rene A. Mendez, Jorge F. Silva, Rodrigo Orsotica +1
In this paper we use the Cramer-Rao lower uncertainty bound to estimate the maximum precision that could be achieved on the joint simultaneous (or 2D) estimation of photometry and…
Analysis and interpretation of the Cramer-Rao lower-bound in astrometry: One dimensional case
Rene Mendez, Jorge Silva, Rodrigo Lobos
In this paper we explore the maximum precision attainable in the location of a point source imaged by a pixel array detector in the presence of a background, as a function of the d…