Microstructure imaging seeks to noninvasively measure and map microscopic tissue
features by pairing mathematical modeling with tailored MRI protocols. This article reviews …

The key component of a microstructural diffusion MRI 'super-scanner'is a dedicated high-
strength gradient system that enables stronger diffusion weightings per unit time compared …

Purpose To propose and evaluate a novel multidimensional approach for imaging subvoxel
tissue compartments called Diffusion‐Relaxation Correlation Spectroscopic Imaging. Theory …

Relaxation and diffusion NMR measurements offer an approach to studying rotational and
translational motion of molecules non-invasively, and they also provide chemical resolution …

Multidimensional correlation spectroscopy is emerging as a novel MRI modality that is well
suited for microstructure and microdynamic imaging studies, especially of biological …

We consider using gradient descent to minimize the nonconvex function f (X)= ϕ (XX T) over
an n× r factor matrix X, in which ϕ is an underlying smooth convex cost function defined over …

The matrix completion problem seeks to recover a $ d\times d $ ground truth matrix of low
rank $ r\ll d $ from observations of its individual elements. Real-world matrix completion is …

We propose an iterative algorithm for low-rank matrix completion with that can be interpreted
as an iteratively reweighted least squares (IRLS) algorithm, a saddle-esca** smoothing …

Potential applications of 2D relaxation spectrum NMR and MRI to characterize complex
water dynamics (eg, compartmental exchange) in biology and other disciplines have …

There has been a tremendous increase in applications of the inverse problem framework to
parameter estimation in magnetic resonance. Attempting to capture both the basics of this …