A geometric analysis of phase retrieval

J Sun, Q Qu, J Wright - Foundations of Computational Mathematics, 2018 - Springer
Can we recover a complex signal from its Fourier magnitudes? More generally, given a set
of m measurements, y_k=\left| a _k^* x\right| yk= ak∗ x for k= 1, ..., mk= 1,…, m, is it possible …

Recursive recovery of sparse signal sequences from compressive measurements: A review

N Vaswani, J Zhan - IEEE Transactions on Signal Processing, 2016 - ieeexplore.ieee.org
In this overview article, we review the literature on design and analysis of recursive
algorithms for reconstructing a time sequence of sparse signals from compressive …

Cardinality minimization, constraints, and regularization: a survey

AM Tillmann, D Bienstock, A Lodi, A Schwartz - SIAM Review, 2024 - SIAM
We survey optimization problems that involve the cardinality of variable vectors in
constraints or the objective function. We provide a unified viewpoint on the general problem …

STFT phase retrieval: Uniqueness guarantees and recovery algorithms

K Jaganathan, YC Eldar… - IEEE Journal of selected …, 2016 - ieeexplore.ieee.org
The problem of recovering a signal from its Fourier magnitude is of paramount importance in
various fields of engineering and applied physics. Due to the absence of Fourier phase …

Convex optimization approaches for blind sensor calibration using sparsity

Ç Bilen, G Puy, R Gribonval… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
We investigate a compressive sensing framework in which the sensors introduce a distortion
to the measurements in the form of unknown gains. We focus on blind calibration, using …

Sparse phase retrieval: Uniqueness guarantees and recovery algorithms

K Jaganathan, S Oymak… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
The problem of signal recovery from its Fourier transform magnitude is of paramount
importance in various fields of engineering and has been around for more than 100 years …

Fast optical proximity correction method based on nonlinear compressive sensing

X Ma, Z Wang, Y Li, GR Arce, L Dong… - Optics Express, 2018 - opg.optica.org
Optical proximity correction (OPC) is an extensively used resolution enhancement technique
(RET) in optical lithography. To date, the computational efficiency has become a big issue …

Efficient uplink data indication techniques for MIMO-OFDMA transmission in WLAN

LEE Namyoon, S Singh, E Tuomaala… - US Patent …, 2018 - Google Patents
Uplink data indication transmission (s) are received over a subband and over OFDM symbol
(s) from STA (s) in a wireless communication system. The received uplink data indication …

Nonlinear basis pursuit

H Ohlsson, AY Yang, R Dong… - … asilomar conference on …, 2013 - ieeexplore.ieee.org
In compressive sensing, the basis pursuit algorithm aims to find the sparsest solution to an
underdetermined linear equation system. In this paper, we generalize basis pursuit to …

Transfer learning for sparse variable selection in high-dimensional regression from quadratic measurement

Q Shang, J Li, Y Song - Knowledge-Based Systems, 2024 - Elsevier
In signal processing, the functional relationship between the unknown parameters and
response variables extends to the nonlinear forms. A representative model is the quadratic …