Orthogonal matrix retrieval with spatial consensus for 3D unknown view tomography

S Huang, M Zehni, I Dokmanić, Z Zhao - SIAM Journal on Imaging Sciences, 2023 - SIAM
Unknown view tomography (UVT) reconstructs a 3D density map from its 2D projections at
unknown, random orientations. A line of work starting with Kam (1980) employs the method …

The beltway problem over orthogonal groups

T Bendory, D Edidin, O Mickelin - Applied and Computational Harmonic …, 2025 - Elsevier
The classical beltway problem entails recovering a set of points from their unordered
pairwise distances on the circle. This problem can be viewed as a special case of the …

Permutations unlabeled beyond sampling unknown

I Dokmanić - IEEE Signal Processing Letters, 2019 - ieeexplore.ieee.org
A recent unlabeled sampling result by Unnikrishnan, Haghighatshoar, and Vetterli states
that with probability one over Gaussian random matrices A with iid entries, any x can be …

Harpa: High-Rate Phase Association with Travel Time Neural Fields

C Shi, MV de Hoop, I Dokmanić - arXiv preprint arXiv:2307.07572, 2023 - arxiv.org
Phase association groups seismic wave arrivals according to their originating earthquakes.
It is a fundamental task in a seismic data processing pipeline, but challenging to perform for …

Solving quadratic systems with full-rank matrices using sparse or generative priors

J Chen, MK Ng, Z Liu - IEEE Transactions on Signal Processing, 2025 - ieeexplore.ieee.org
The problem of recovering a signal from a quadratic system with full-rank matrices frequently
arises in applications such as unassigned distance geometry and sub-wavelength imaging …

Solving complex quadratic systems with full-rank random matrices

S Huang, S Gupta, I Dokmanić - IEEE transactions on Signal …, 2020 - ieeexplore.ieee.org
We tackle the problem of recovering a complex signal from quadratic measurements of the
form, where is a full-rank, complex random measurement matrix whose entries are …

Total least squares phase retrieval

S Gupta, I Dokmanić - IEEE Transactions on Signal Processing, 2021 - ieeexplore.ieee.org
We address the phase retrieval problem with errors in the sensing vectors. A number of
recent methods for phase retrieval are based on least squares (LS) formulations which …

3D unknown view tomography via rotation invariants

M Zehni, S Huang, I Dokmanić… - ICASSP 2020-2020 IEEE …, 2020 - ieeexplore.ieee.org
In this paper, we study the problem of reconstructing a 3D point source model from a set of
2D projections at unknown view angles. Our method obviates the need to recover the …

Geometric invariants for sparse unknown view tomography

M Zehni, S Huang, I Dokmanić… - ICASSP 2019-2019 IEEE …, 2019 - ieeexplore.ieee.org
In this paper, we study a 2D tomography problem for point source models with random
unknown view angles. Rather than recovering the projection angles, we reconstruct the …

Approximate and Exact Optimization Algorithms for the Beltway and Turnpike Problems with Duplicated, Missing, Partially Labeled, and Uncertain Measurements

CS Elder, M Hoang, M Ferdosi… - Journal of Computational …, 2024 - liebertpub.com
The Turnpike problem aims to reconstruct a set of one-dimensional points from their
unordered pairwise distances. Turnpike arises in biological applications such as molecular …