Abstract A matrix A ∈ C^ q * N satisfies the restricted isometry property of order k with
constant ε if it preserves the ℓ 2 norm of all k-sparse vectors up to a factor of 1±ε. We prove …

An algorithmic framework to compute sparse or minimal-TV solutions of linear systems is
proposed. The framework includes both the Kaczmarz method and the linearized Bregman …

This article considers the use of total variation minimization for the recovery of a
superposition of point sources from samples of its Fourier transform along radial lines. We …

Modern scientific instruments produce vast amounts of data, which can overwhelm the
processing ability of computer systems. Lossy compression of data is an intriguing solution …

In radio interferometry, every pair of antennas in an array defines one sampling point in the
Fourier domain of the sky image. By combining information from different wavelengths …

Radio interferometers can achieve high spatial resolution for temporally constant sources by
combining data observed over long periods of time. Recent imaging algorithms reconstruct …

ML systems contend with an ever-growing processing load of physical world data. These
systems are required to deliver high-quality learning and decision-making often constrained …

The field of computer graphics deals with virtual representations of the real world. These can
be obtained either through reconstruction of a model from measurements, or by directly …

Heliograph imaging is the process to reconstruct the solar image from sparse frequency
domain data, and compressed sensing (CS) algorithm has shown potential power to …

提出一种基于改进空间频率域(UV) 采样的阵列评价函数, 用于长基线天文光干涉望远镜阵列
几何结构的优化. 该评价函数将UV 采样区域沿径向和角度方向分别进行划分 …