no code implementations • 28 Oct 2024 • Alexander Christie, Matan Leibovich, Miguel Moscoso, Alexei Novikov, George Papanicolaou, Chrysoula Tsogka
We propose a methodology that exploits large and diverse data sets to accurately estimate the ambient medium's Green's functions in strongly scattering media.
no code implementations • 22 Sep 2023 • Miguel Moscoso, Alexei Novikov, George Papanicolaou, Chrysoula Tsogka
For these two steps to work together we need data from large arrays of receivers so the columns of the sensing matrix are incoherent for the first step, as well as from sub-arrays so that they are coherent enough to obtain the connectivity needed in the second step.
no code implementations • 1 Nov 2021 • Matan Leibovich, George Papanicolaou, Chrysoula Tsogka
We call this the rank-1 image and show that it provides superior image resolution compared to the usual single-point migration scheme for fast moving and rotating objects.
no code implementations • 11 Oct 2020 • Miguel Moscoso, Alexei Novikov, George Papanicolaou, Chrysoula Tsogka
Compared to the sparse signal recovery problem that uses linear measurements, the unknown is now a matrix formed by the cross correlation of the unknown signal.
no code implementations • 5 Aug 2019 • Miguel Moscoso, Alexei Novikov, George Papanicolaou, Chrysoula Tsogka
To improve the performance of $l_1$-minimization we propose to solve instead the augmented linear system $ [A \, | \, C] \rho =b$, where the $N \times \Sigma$ matrix $C$ is a noise collector.
no code implementations • 5 Aug 2019 • Miguel Moscoso, Alexei Novikov, George Papanicolaou, Chrysoula Tsogka
The ability to detect sparse signals from noisy high-dimensional data is a top priority in modern science and engineering.