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Spectral methods have myriad applications in high-dimensional statistics and data science, and while previous works have primarily focused on $\ell_2$ or $\ell_{2,\infty}$ eigenvector and singular vector perturbation theory, in many…

Statistics Theory · Mathematics 2026-05-11 Joshua Agterberg

This thesis presents three studies in quantum-enhanced sensing and target detection. The first study explores covert target detection using optical or microwave probes, establishing quantum-mechanical limits on the error probabilities of…

Quantum Physics · Physics 2024-10-16 Guo Yao Tham

Electric power systems require accurate, scalable, distributed, and near real-time state estimation (SE) to support reliable monitoring and control under increasingly complex operating conditions. Limited monitoring capabilities can lead to…

Information Theory · Computer Science 2026-04-24 Mirsad Cosovic , Armin Teskeredzic , Antonello Monti , Dejan Vukobratovic

This paper proposes a fully decentralized adaptive re-weighted state estimation (DARSE) scheme for power systems via network gossiping. The enabling technique is the proposed Gossip-based Gauss-Newton (GGN) algorithm, which allows to…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-26 Xiao Li , Anna Scaglione

We present a novel ground-state energy estimation algorithm that is robust under global depolarizing error channels. Building upon the recently developed Quantum Exponential Least Squares (QCELS) algorithm, our new approach incorporates…

Quantum Physics · Physics 2024-03-12 Zhiyan Ding , Yulong Dong , Yu Tong , Lin Lin

Phase recovery from the bispectrum is a central problem in speckle interferometry which can be posed as an optimization problem minimizing a weighted nonlinear least-squares objective function. We look at two different formulations of the…

Numerical Analysis · Mathematics 2019-06-26 James L. Herring , James Nagy , Lars Ruthotto

Electricity price forecasting is a critical tool for the efficient operation of power systems and for supporting informed decision-making by market participants. This paper explores a novel methodology aimed at improving the accuracy of…

Applications · Statistics 2025-01-13 Bartosz Uniejewski , Florian Ziel

We investigate the optimal quantum state for an atomic gyroscope based on a three-site Bose-Hubbard model. In previous studies, various states such as the uncorrelated state, the BAT state and the NOON state are employed as the probe states…

Quantum Physics · Physics 2020-12-02 Lei Shao , Weiyao Li , Xiaoguang Wang

In [1] a new adaptive phase-locked loop scheme for synchronization of a grid connected voltage source converter with guaranteed (almost) global stability properties was reported. To guarantee a suitable synchronization with the angle of the…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Wei He , Jiachen Yan , Romeo Ortega , Daniele Zonetti

The problem of imbalance detection in a three-phase power system using a phasor measurement unit (PMU) is considered. A general model for the zero, positive, and negative sequences from a PMU measurement at off-nominal frequencies is…

Applications · Statistics 2016-11-18 Tirza Routtenberg , Yao Xie , Rebecca M. Willett , Lang Tong

This paper presents an adaptive stochastic spectral embedding (ASSE) method to solve the probabilistic AC optimal power flow (AC-OPF), a critical aspect of power system operation. The proposed method can efficiently and accurately estimate…

Systems and Control · Electrical Eng. & Systems 2024-01-22 Xiaoting Wang , Jingyu Liu , Xiaozhe Wang

This letter studies the synchrophasor measurement error of electric power distribution systems with on-line and off-line measurements using graphical and numerical tests. It demonstrates that the synchrophasor measurement error follows a…

Signal Processing · Electrical Eng. & Systems 2018-03-19 Can Huang , Charanraj A. Thimmisetty , Xiao Chen , Mert Korkali , Vaibhav Donde , Emma Stewart , Philip Top , Charles Tong , Liang Min

We examine the use of synchronization as a mechanism for extracting parameter and state information from experimental systems. We focus on important aspects of this problem that have received little attention previously, and we explore them…

Due to the evolving nature of power grids and model uncertainty, the online stability assessment of electrical power systems is always a challenging problem. This paper aims to provide a theoretical framework for estimating the region of…

Systems and Control · Electrical Eng. & Systems 2019-11-26 Chao Zhai

An equivalent circuit formulation for power system analysis was demonstrated to improve robustness of Power Flow and enable more generalized modeling, including that for RTUs (Remote Terminal Units) and PMUs (Phasor Measurement Units).…

Signal Processing · Electrical Eng. & Systems 2019-05-02 Martin R. Wagner , Marko Jereminov , Amritanshu Pandey , Larry Pileggi

The reliable operation of a power distribution system relies on a good prior knowledge of its topology and its system state. Although crucial, due to the lack of direct monitoring devices on the switch statuses, the topology information is…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Yijun Xu , Jaber Valinejad , Mert Korkali , Lamine Mili , Yajun Wang , Xiao Chen , Zongsheng Zheng

This paper is concerned with the phase estimation algorithm in quantum computing algorithms, especially the scenarios where (1) the input vector is not an eigenvector; (2) the unitary operator is not exactly implemented; (3) random…

Quantum Physics · Physics 2022-08-10 Xiantao Li

The first experimental demonstration of an adaptive quantum state estimation (AQSE) is reported. The strong consistency and asymptotic efficiency of AQSE have been mathematically proven [ A. Fujiwara J. Phys. A 39 12489 (2006)]. In this…

Recently, there has been a major emphasis on developing data-driven approaches involving machine learning (ML) for high-speed static state estimation (SE) in power systems. The emphasis stems from the ability of ML to overcome difficulties…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Shiva Moshtagh , Anwarul Islam Sifat , Behrouz Azimian , Anamitra Pal

In this paper, we consider a modified projected Gauss-Newton method for solving constrained nonlinear least-squares problems. We assume that the functional constraints are smooth and the the other constraints are represented by a simple…

Optimization and Control · Mathematics 2025-04-02 Yassine Nabou , Lucian Toma , Ion Necoara
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