Optimization methods for magnetic resonance image reconstruction: Key models and optimization algorithms

JA Fessler - IEEE signal processing magazine, 2020 - ieeexplore.ieee.org
The development of compressed-sensing (CS) methods for magnetic resonance (MR)
image reconstruction led to an explosion of research on models and optimization algorithms …

[PDF][PDF] Learning-Based Frequency Estimation Algorithms.

CY Hsu, P Indyk, D Katabi, A Vakilian - International Conference on …, 2019 - par.nsf.gov
Estimating the frequencies of elements in a data stream is a fundamental task in data
analysis and machine learning. The problem is typically addressed using streaming …

Deep-learning-based optimization of the under-sampling pattern in MRI

CD Bahadir, AQ Wang, AV Dalca… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
In compressed sensing MRI (CS-MRI), k-space measurements are under-sampled to
achieve accelerated scan times. CS-MRI presents two fundamental problems:(1) where to …

Learning-based compressive MRI

B Gözcü, RK Mahabadi, YH Li, E Ilıcak… - IEEE transactions on …, 2018 - ieeexplore.ieee.org
In the area of magnetic resonance imaging (MRI), an extensive range of non-linear
reconstruction algorithms has been proposed which can be used with general Fourier …

Learning space partitions for nearest neighbor search

Y Dong, P Indyk, I Razenshteyn, T Wagner - arXiv preprint arXiv …, 2019 - arxiv.org
Space partitions of $\mathbb {R}^ d $ underlie a vast and important class of fast nearest
neighbor search (NNS) algorithms. Inspired by recent theoretical work on NNS for general …

Learning-based optimization of the under-sampling pattern in MRI

CD Bahadir, AV Dalca, MR Sabuncu - … IPMI 2019, Hong Kong, China, June …, 2019 - Springer
Abstract Acquisition of Magnetic Resonance Imaging (MRI) scans can be accelerated by
under-sampling in k-space (ie, the Fourier domain). In this paper, we consider the problem …

Theoretical perspectives on deep learning methods in inverse problems

J Scarlett, R Heckel, MRD Rodrigues… - IEEE journal on …, 2022 - ieeexplore.ieee.org
In recent years, there have been significant advances in the use of deep learning methods in
inverse problems such as denoising, compressive sensing, inpainting, and super-resolution …

Learning-based low-rank approximations

P Indyk, A Vakilian, Y Yuan - Advances in Neural …, 2019 - proceedings.neurips.cc
We introduce a “learning-based” algorithm for the low-rank decomposition problem: given
an $ n\times d $ matrix $ A $, and a parameter $ k $, compute a rank-$ k $ matrix $ A'$ that …

Optimizing full 3d sparkling trajectories for high-resolution magnetic resonance imaging

GR Chaithya, P Weiss, G Daval-Frérot… - … on Medical Imaging, 2022 - ieeexplore.ieee.org
The Spreading Projection Algorithm for Rapid K-space sampLING, or SPARKLING, is an
optimization-driven method that has been recently introduced for accelerated 2D MRI using …

Learning a compressed sensing measurement matrix via gradient unrolling

S Wu, A Dimakis, S Sanghavi, F Yu… - International …, 2019 - proceedings.mlr.press
Linear encoding of sparse vectors is widely popular, but is commonly data-independent–
missing any possible extra (but a priori unknown) structure beyond sparsity. In this paper we …