Compressed sensing using generative models
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 …
noisy linear measurements, by making use of prior knowledge on the structure of vectors in …
Structured compressed sensing: From theory to applications
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 …
interest over the past few years. Previous review articles in CS limit their scope to standard …
Model-based compressive sensing
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 …
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 …
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 …
sparse and compressible signals based on randomized dimensionality reduction. To …
Intermediate layer optimization for inverse problems using deep generative models
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 …
inverse problems with deep generative models. Instead of optimizing only over the initial …
Instance-optimal compressed sensing via posterior sampling
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 …
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
We compare and contrast from a geometric perspective a number of low-dimensional signal
models that support stable information-preserving dimensionality reduction. We consider …
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 …
acquisition systems to take advantage of signal structures beyond bandlimitedness. Indeed …
Spectral super-resolution with prior knowledge
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 …
the structure of a spectrally sparse, undersampled signal. In many applications of interest …