Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion

JA Carrillo, G Estrada-Rodriguez, L Mikolas… - arXiv preprint arXiv …, 2024 - arxiv.org
We address the inverse problem of identifying nonlocal interaction potentials in nonlinear
aggregation-diffusion equations from noisy discrete trajectory data. Our approach involves …

Sparse signal recovery for WIM measurements from undersampled data through compressed sensing

Z Zhang, C Sun, Y Huang - Measurement, 2020 - Elsevier
This study presents a method to recover the signal components critical for weigh-in-motion
(WIM) measurements using compressed sensing. Through a comparative study, the wavelet …

Tolerant compressed sensing with partially coherent sensing matrices

T Birnbaum, YC Eldar, D Needell - Wavelets and Sparsity XVII, 2017 - spiedigitallibrary.org
Most of compressed sensing (CS) theory to date is focused on incoherent sensing, that is,
columns from the sensing matrix are highly uncorrelated. However, sensing systems with …

Gravimetric Anomaly Detection Using Compressed Sensing

RD Kappedal - 2014 - digital.lib.washington.edu
We address the problem of identifying underground anomalies (eg holes) based on gravity
measurements. This is a theoretically well-studied yet difficult problem. In all except a few …