Simultaneous estimation of multiple eigenvalues with short-depth quantum circuit on early fault-tolerant quantum computers

Z Ding, L Lin - Quantum, 2023 - quantum-journal.org
We introduce a multi-modal, multi-level quantum complex exponential least squares (MM-
QCELS) method to simultaneously estimate multiple eigenvalues of a quantum Hamiltonian …

Super-resolution techniques for biomedical applications and challenges

M Shin, M Seo, K Lee, K Yoon - Biomedical Engineering Letters, 2024 - Springer
Super-resolution (SR) techniques have revolutionized the field of biomedical applications by
detailing the structures at resolutions beyond the limits of imaging or measuring tools. These …

End-to-end nanophotonic inverse design for imaging and polarimetry

Z Lin, C Roques-Carmes, R Pestourie, M Soljačić… - …, 2021 - degruyter.com
By codesigning a metaoptical front end in conjunction with an image-processing back end,
we demonstrate noise sensitivity and compactness substantially superior to either an optics …

Tensor decompositions meet control theory: learning general mixtures of linear dynamical systems

A Bakshi, A Liu, A Moitra, M Yau - … Conference on Machine …, 2023 - proceedings.mlr.press
Abstract Recently Chen and Poor initiated the study of learning mixtures of linear dynamical
systems. While linear dynamical systems already have wide-ranging applications in …

Generalized leverage score sampling for neural networks

JD Lee, R Shen, Z Song… - Advances in Neural …, 2020 - proceedings.neurips.cc
Leverage score sampling is a powerful technique that originates from theoretical computer
science, which can be used to speed up a large number of fundamental questions, eg linear …

The ESPRIT algorithm under high noise: Optimal error scaling and noisy super-resolution

Z Ding, EN Epperly, L Lin… - 2024 IEEE 65th Annual …, 2024 - ieeexplore.ieee.org
Subspace-based signal processing techniques, such as the Estimation of Signal Parameters
via Rotational Invariant Techniques (ESPRIT) algorithm, are popular methods for spectral …

A mathematical theory of computational resolution limit in multi-dimensional spaces

P Liu, H Zhang - Inverse Problems, 2021 - iopscience.iop.org
Resolving a linear combination of point sources from their Fourier data in a bounded domain
is a fundamental problem in imaging and signal processing. With incomplete Fourier data …

A fourier approach to mixture learning

M Qiao, G Guruganesh, A Rawat… - Advances in …, 2022 - proceedings.neurips.cc
We revisit the problem of learning mixtures of spherical Gaussians. Given samples from a
mixture $\frac {1}{k}\sum_ {j= 1}^{k}\mathcal {N}(\mu_j, I_d) $, the goal is to estimate the …

Information-theoretic perspective on performance assessment and fundamental limit of quantum imaging

N Li, C Hu, XM Lu - Chinese Optics Letters, 2024 - opg.optica.org
Performance assessment of an imaging system is important for the optimization design with
various technologies. The information-theoretic viewpoint based on communication theory …

Super-resolution of positive near-colliding point sources

P Liu, H Ammari - Information and Inference: A Journal of the …, 2023 - academic.oup.com
In this paper, we analyze the capacity of super-resolution (SR) of one-dimensional positive
sources. In particular, we consider a similar setting as in Batenkov et al.(2020, Inf. Inference …