Solving linear inverse problems using gan priors: An algorithm with provable guarantees

V Shah, C Hegde - … conference on acoustics, speech and signal …, 2018 - ieeexplore.ieee.org
In recent works, both sparsity-based methods as well as learning-based methods have
proven to be successful in solving several challenging linear inverse problems. However …

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 …

Numax: A convex approach for learning near-isometric linear embeddings

C Hegde, AC Sankaranarayanan, W Yin… - IEEE Transactions …, 2015 - ieeexplore.ieee.org
We propose a novel framework for the deterministic construction of linear, near-isometric
embeddings of a finite set of data points. Given a set of training points X⊂\BBR N, we …

[HTML][HTML] New analysis of manifold embeddings and signal recovery from compressive measurements

A Eftekhari, MB Wakin - Applied and Computational Harmonic Analysis, 2015 - Elsevier
Compressive Sensing (CS) exploits the surprising fact that the information contained in a
sparse signal can be preserved in a small number of compressive, often random linear …

IHT dies hard: Provable accelerated iterative hard thresholding

R Khanna, A Kyrillidis - International Conference on Artificial …, 2018 - proceedings.mlr.press
We study–both in theory and practice–the use of momentum motions in classic iterative hard
thresholding (IHT) methods. By simply modifying plain IHT, we investigate its convergence …

Structured sparse regression via greedy hard thresholding

P Jain, N Rao, IS Dhillon - Advances in neural information …, 2016 - proceedings.neurips.cc
Several learning applications require solving high-dimensional regression problems where
the relevant features belong to a small number of (overlap**) groups. For very large …

Signal recovery on incoherent manifolds

C Hegde, RG Baraniuk - IEEE Transactions on Information …, 2012 - ieeexplore.ieee.org
Suppose that we observe noisy linear measurements of an unknown signal that can be
modeled as the sum of two component signals, each of which arises from a nonlinear …

Minimum complexity pursuit for universal compressed sensing

S Jalali, A Maleki, RG Baraniuk - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
The nascent field of compressed sensing is founded on the fact that high-dimensional
signals with simple structure can be recovered accurately from just a small number of …

Inexact gradient projection and fast data driven compressed sensing

M Golbabaee, ME Davies - IEEE Transactions on Information …, 2018 - ieeexplore.ieee.org
We study the convergence of the iterative projected gradient (IPG) algorithm for arbitrary
(possibly non-convex) sets when both the gradient and projection oracles are computed …

CoverBLIP: accelerated and scalable iterative matched-filtering for magnetic resonance fingerprint reconstruction

M Golbabaee, Z Chen, Y Wiaux, M Davies - Inverse Problems, 2019 - iopscience.iop.org
Current popular methods for magnetic resonance fingerprint (MRF) recovery are
bottlenecked by the heavy computations of a matched-filtering step due to the growing size …