98 citations · 645 across the 57 of their papers we have counts for
61 papers
Spherical ESPRIT by Paired Small Circles and Infinitesimal Rotations
Albert Fannjiang
We study the recovery of a finite three-dimensional point cloud from its spherical Fourier signal subspace at a fixed wavenumber. Two ESPRIT constructions are analyzed. The first u…
Certified Spherical MUSIC for 3D Localization under Adversarial Subspace Perturbations
Albert Fannjiang, Chuong Nguyen
We study an oracle subspace-perturbation model for 3D localization. The procedure is given an -dimensional subspace and a deterministic error bound \[ \…
Multidimensional Gradient-MUSIC: A Global Nonconvex Optimization Framework for Optimal Resolution
Albert Fannjiang, Weilin Li
We develop a multidimensional version of Gradient-MUSIC for estimating the frequencies of a nonharmonic signal from noisy samples. The guiding principle is that frequency recovery…
Optimal structured approximation of Fourier subspaces, Toeplitz matrices, and exponential sums
Albert Fannjiang, Weilin Li
This paper studies three structured approximation problems: (1) Recovering the range of a Fourier matrix from a single observation, (2) Recovering a corrupted low-rank Toeplitz/Han…
Optimality of Gradient-MUSIC for spectral estimation
Albert Fannjiang, Weilin Li, Wenjing Liao
We introduce the Gradient-MUSIC algorithm for estimating the unknown frequencies and amplitudes of a nonharmonic signal from noisy time samples. While the classical MUSIC algorithm…
Noise-Robust One-Bit Diffraction Tomography and Optimal Dose Fractionation
Pengwen Chen, Albert Fannjiang
This study presents a noise-robust framework for 1-bit diffraction tomography, a novel imaging approach that relies on intensity-only binary measurements obtained through coded ape…