Compressed sensing using generative models

A Bora, A Jalal, E Price… - … conference on machine …, 2017 - proceedings.mlr.press
The goal of compressed sensing is to estimate a vector from an underdetermined system of
noisy linear measurements, by making use of prior knowledge on the structure of vectors in …

Structured compressed sensing: From theory to applications

MF Duarte, YC Eldar - IEEE Transactions on signal processing, 2011 - ieeexplore.ieee.org
Compressed sensing (CS) is an emerging field that has attracted considerable research
interest over the past few years. Previous review articles in CS limit their scope to standard …

Model-based compressive sensing

RG Baraniuk, V Cevher, MF Duarte… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
Compressive sensing (CS) is an alternative to Shannon/Nyquist sampling for the acquisition
of sparse or compressible signals that can be well approximated by just K¿ N elements from …

[PDF][PDF] Introduction to compressed sensing.

In recent years, compressed sensing (CS) has attracted considerable attention in areas of
applied mathematics, computer science, and electrical engineering by suggesting that it may …

Spectral compressive sensing

MF Duarte, RG Baraniuk - Applied and Computational Harmonic Analysis, 2013 - Elsevier
Compressive sensing (CS) is a new approach to simultaneous sensing and compression of
sparse and compressible signals based on randomized dimensionality reduction. To …

Intermediate layer optimization for inverse problems using deep generative models

G Daras, J Dean, A Jalal, AG Dimakis - arxiv preprint arxiv:2102.07364, 2021 - arxiv.org
We propose Intermediate Layer Optimization (ILO), a novel optimization algorithm for solving
inverse problems with deep generative models. Instead of optimizing only over the initial …

Instance-optimal compressed sensing via posterior sampling

A Jalal, S Karmalkar, AG Dimakis, E Price - arxiv preprint arxiv …, 2021 - arxiv.org
We characterize the measurement complexity of compressed sensing of signals drawn from
a known prior distribution, even when the support of the prior is the entire space (rather than …

Low-dimensional models for dimensionality reduction and signal recovery: A geometric perspective

RG Baraniuk, V Cevher, MB Wakin - Proceedings of the IEEE, 2010 - ieeexplore.ieee.org
We compare and contrast from a geometric perspective a number of low-dimensional signal
models that support stable information-preserving dimensionality reduction. We consider …

Regime change: Bit-depth versus measurement-rate in compressive sensing

JN Laska, RG Baraniuk - IEEE Transactions on Signal …, 2012 - ieeexplore.ieee.org
The recently introduced compressive sensing (CS) framework enables digital signal
acquisition systems to take advantage of signal structures beyond bandlimitedness. Indeed …

Spectral super-resolution with prior knowledge

KV Mishra, M Cho, A Kruger… - IEEE transactions on signal …, 2015 - ieeexplore.ieee.org
We address the problem of super-resolution frequency recovery using prior knowledge of
the structure of a spectrally sparse, undersampled signal. In many applications of interest …