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We present a variational algorithm for fault tolerant quantum computing to solve a system of linear equations which directly maximises the parameters of the target fidelity. This so-called measurement test algorithm can be applied to any…

量子物理 · 物理学 2026-04-30 Alain Giresse Tene , Thomas Konrad

Low-to-medium voltage distribution networks are experiencing rising levels of distributed energy resources, including renewable generation, along with improved sensing, communication, and automation infrastructure. As such, state estimation…

系统与控制 · 计算机科学 2019-04-18 Thiagarajan Ramachandran , Andrew Reiman , Sai Pushpak Nandanoori , Mark Rice , Soumya Kundu

Causality plays a central role in understanding interactions between variables in complex systems. These systems often exhibit state-dependent causal relationships, where both the strength and direction of causality vary with the value of…

数据分析、统计与概率 · 物理学 2025-08-05 Álvaro Martínez-Sánchez , Adrián Lozano-Durán

Large scale integration of distributed energy resources and electric vehicles in a transactive energy environment present new challenges in terms of voltage stability and fluctuations in a power distribution system. The impact of different…

系统与控制 · 电气工程与系统科学 2021-04-30 Sai Munikoti , Kumarsinh Jhala , Kexing Lai , Balasubramaniam Natarajan

This work presents the analytic solution of a fundamental open problem in the framework of nonlinear observability, which is the unknown input observability problem (UIO problem). The solution here provided holds in the case of a single…

最优化与控制 · 数学 2017-04-12 Agostino Martinelli

Computing partition function is the most important statistical inference task arising in applications of Graphical Models (GM). Since it is computationally intractable, approximate methods have been used to resolve the issue in practice,…

机器学习 · 统计学 2017-09-13 Sungsoo Ahn , Michael Chertkov , Jinwoo Shin

Factor analysis models explain dependence among observed variables by a smaller number of unobserved factors. A main challenge in confirmatory factor analysis is determining whether the factor loading matrix is identifiable from the…

统计理论 · 数学 2026-01-21 Nils Sturma , Miriam Kranzlmueller , Irem Portakal , Mathias Drton

We adapt the robust phase estimation algorithm to the evaluation of energy differences between two eigenstates using a quantum computer. This approach does not require controlled unitaries between auxiliary and system registers or even a…

量子物理 · 物理学 2021-06-02 A. E. Russo , K. M. Rudinger , B. C. A. Morrison , A. D. Baczewski

In this paper we develop a set of algorithms that can detect the identities of malicious data-manipulators in distributed optimization loops for estimating oscillation modes in large power system models. The estimation is posed in terms of…

系统与控制 · 计算机科学 2017-03-29 Mang Liao , Aranya Chakrabortty

Power system state estimation is being faced with different types of anomalies. These might include bad data caused by gross measurement errors or communication system failures. Sudden changes in load or generation can be considered as…

系统与控制 · 电气工程与系统科学 2023-08-11 Sajjad Asefi , Mile Mitrovic , Dragan Ćetenović , Victor Levi , Elena Gryazina , Vladimir Terzija

This paper develops methods of distributed Bayesian hypothesis tests for fault detection and diagnosis that are based on belief propagation and optimization in graphical models. The main challenges in developing distributed statistical…

系统与控制 · 计算机科学 2015-01-20 Kwang-Ki K. Kim

Estimating observable expectation values in eigenstates of quantum systems has a broad range of applications and is an area where early fault-tolerant quantum computers may provide practical quantum advantage. We develop a hybrid…

量子物理 · 物理学 2026-03-03 Bence Bakó , Tenzan Araki , Bálint Koczor

The Propagation-Separation approach is an iterative procedure for pointwise estimation of local constant and local polynomial functions. The estimator is defined as a weighted mean of the observations with data-driven weights. Within…

统计方法学 · 统计学 2013-02-06 Saskia Becker , Peter Mathé

A connection between the state estimation problem and the separability problem is noticed and exploited to find efficient numerical algorithms to solve the first one. Based on these ideas, we also derive a systematic method to obtain upper…

量子物理 · 物理学 2012-04-30 Miguel Navascues

The Kalman filter is the most powerful tool for estimation of the states of a linear Gaussian system. In addition, using this method, an expectation maximization algorithm can be used to estimate the parameters of the model. However, this…

统计计算 · 统计学 2020-06-01 Tsuyoshi Ishizone , Kazuyuki Nakamura

The state estimation problem can be solved through different methods. In terms of robustness, an effective approach is represented by the Least Absolute Value (LAV) estimator, though vulnerable to leverage points. Based on a previously…

系统与控制 · 电气工程与系统科学 2020-08-11 Mathias Dorier , Guglielmo Frigo , Ali Abur , Mario Paolone

Effectively compressing and optimizing tensor networks requires reliable methods for fixing the latent degrees of freedom of the tensors, known as the gauge. Here we introduce a new algorithm for gauging tensor networks using belief…

量子物理 · 物理学 2025-03-03 Joseph Tindall , Matthew T. Fishman

We analyze the problem of reconstructing an unknown quantum state of a multipartite system from repeated measurements of local observables. In particular, via a system-theoretic observability analysis, we show that, even when the initial…

量子物理 · 物理学 2025-09-23 Marco Peruzzo , Tommaso Grigoletto , Francesco Ticozzi

We address the problem of state estimation and attack isolation for general discrete-time nonlinear systems when sensors are corrupted by (potentially unbounded) attack signals. For a large class of nonlinear plants and observers, we…

系统与控制 · 计算机科学 2019-04-10 Tianci Yang , Carlos Murguia , Margreta Kuijper , Dragan Nesic

Smart power grid enables intelligent automation at all levels of power system operation, from electricity generation at power plants to power usage at households. The key enabling factor of an efficient smart grid is its built-in…

系统与控制 · 计算机科学 2016-12-20 Suzhi Bi , Ying Jun Zhang
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