4 papers
Characterization of the Basin of Convexity for Multi-Snapshot Spike Deconvolution via Variable Projection
Meghna Kalra, Maxime Ferreira Da Costa, Kiryung Lee
The problem of multi-snapshot spike deconvolution is studied, where the goal is to recover the locations of sparse impulses from their noisy convolution with a known point spread f…
Global Convergence of ESPRIT with Preconditioned First-Order Methods for Spike Deconvolution
Joseph Gabet, Meghna Kalra, Maxime Ferreira Da Costa +1
Spike deconvolution is the problem of recovering point sources from their convolution with a known point spread function, playing a fundamental role in many sensing and imaging app…
Small-Noise Sensitivity Analysis of Locating Pulses in the Presence of Adversarial Perturbation
Meghna Kalra, Maxime Ferreira Da Costa, Kiryung Lee
A fundamental small-noise sensitivity analysis of spike localization in the presence of adversarial perturbations and an arbitrary point spread function (PSF) is presented. The ana…
Stable estimation of pulses of unknown shape from multiple snapshots via ESPRIT
Meghna Kalra, Kiryung Lee
We consider the problem of resolving overlapping pulses from noisy multi-snapshot measurements, which has been a problem central to various applications including medical imaging a…