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Identifying the Hamiltonian of a quantum system from experimental data is considered. General limits on the identifiability of model parameters with limited experimental resources are investigated, and a specific Bayesian estimation…

Quantum Physics · Physics 2019-10-15 S. G. Schirmer , F. C. Langbein

We propose a machine learning framework for parameter estimation of single mode Gaussian quantum states. Under a Bayesian framework, our approach estimates parameters of suitable prior distributions from measured data. For phase-space…

Quantum Physics · Physics 2021-08-16 Neel Kanth Kundu , Matthew R. McKay , Ranjan K. Mallik

This paper studies robust event classification using imperfect real-world phasor measurement unit (PMU) data. By analyzing the real-world PMU data, we find it is challenging to directly use this dataset for event classifiers due to the low…

Machine Learning · Computer Science 2021-10-20 Yunchuan Liu , Lei Yang , Amir Ghasemkhani , Hanif Livani , Virgilio A. Centeno , Pin-Yu Chen , Junshan Zhang

Calibration is nowadays one of the most important processes involved in the extraction of valuable data from measurements. The current availability of an optimum data cube measured from a heterogeneous set of instruments and surveys relies…

Instrumentation and Methods for Astrophysics · Physics 2012-08-13 Maria Jose Marquez

This paper proposes a gradient descent based optimization method that relies on automatic differentiation for the computation of gradients. The method uses tools and techniques originally developed in the field of artificial neural networks…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Georg Kordowich , Johann Jaeger

Bayesian networks are graphical models to represent the probabilistic relationships between variables in the Bayesian framework. The knowledge of all variables can be updated using new information about some of the variables. We show that…

Data Analysis, Statistics and Probability · Physics 2021-10-22 Georg Schnabel , Roberto Capote , Arjan Koning , David Brown

Scientific machine learning has been successfully applied to inverse problems and PDE discovery in computational physics. One caveat concerning current methods is the need for large amounts of ("clean") data, in order to characterize the…

Numerical Analysis · Mathematics 2021-11-30 Christophe Bonneville , Christopher J. Earls

In modern smart grids deployed with various advanced sensors, e.g., phasor measurement units (PMUs), bad (anomalous) measurements are always inevitable in practice. Considering the imperative need for filtering out potential bad data, this…

Systems and Control · Electrical Eng. & Systems 2020-08-12 Lipeng Zhu , David J. Hill

Various noise models have been developed in quantum computing study to describe the propagation and effect of the noise which is caused by imperfect implementation of hardware. Identifying parameters such as gate and readout error rates are…

Quantum Physics · Physics 2022-11-08 Muqing Zheng , Ang Li , Tamás Terlaky , Xiu Yang

Time-domain simulations are a critical tool for power system operators. Depending on the instability mechanism under consideration and the system characteristics, such as the time constants of controllers, either phasor or Electro-Magnetic…

Systems and Control · Electrical Eng. & Systems 2020-02-27 Georgios Misyris , Spyros Chatzivasileiadis , Tilman Weckesser

The classification of anomalies or sudden changes in power networks versus normal abrupt changes or switching actions is essential to take appropriate maintenance actions that guarantee the quality of power delivery. This issue has…

Signal Processing · Electrical Eng. & Systems 2018-05-15 Hamid Khodabandehlou , Iman Niazazari , Hanif Livani , M. Sami Fadali

Identifying dynamical system (DS) is a vital task in science and engineering. Traditional methods require numerous calls to the DS solver, rendering likelihood-based or least-squares inference frameworks impractical. For efficient parameter…

Computation · Statistics 2024-09-19 Ying Zhou , Jinglai Li , Xiang Zhou , Hongqiao Wang

Recovering dynamical equations from observed noisy data is the central challenge of system identification. We develop a statistical mechanics approach to analyze sparse equation discovery algorithms, which typically balance data fit and…

Statistical Mechanics · Physics 2025-09-16 Andrei A. Klishin , Joseph Bakarji , J. Nathan Kutz , Krithika Manohar

Parameter inference of dynamical systems is a challenging task faced by many researchers and practitioners across various fields. In many applications, it is common that only limited variables are observable. In this paper, we propose a…

Methodology · Statistics 2020-01-01 Yu Chen , Jin Cheng , Arvind Gupta , Huaxiong Huang , Shixin Xu

Physically interpretable models are essential for next-generation industrial systems, as these representations enable effective control, support design validation, and provide a foundation for monitoring strategies. The aim of this paper is…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Maarten van der Hulst , Rodrigo A. González , Koen Classens , Paul Tacx , Nick Dirkx , Jeroen van de Wijdeven , Tom Oomen

Fault monitoring and diagnostics are important to ensure reliability of electric motors. Efficient algorithms for fault detection improve reliability, yet development of cost-effective and reliable classifiers for diagnostics of equipment…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-16 Waldemar Bauer , Marta Zagorowska , Jerzy Baranowski

In this document, the supervisory control and data acquisition (SCADA) and phasor measurement unit (PMU) measurement chain modeling will be studied, where the measurement error sources of each component in the SCADA and PMU measurement…

Signal Processing · Electrical Eng. & Systems 2024-02-29 Gang Cheng , Yuzhang Lin

This paper proposes a novel purely measurement-based method for estimating dynamic load parameters in near real-time when stochastic load fluctuations are present. By leveraging on the regression theorem for the Ornstein-Uhlenbeck process,…

Systems and Control · Electrical Eng. & Systems 2020-02-20 Georgia Pierrou , Xiaozhe Wang

In order to identify one system (module) in an interconnected dynamic network, one typically has to solve a Multi-Input-Single-Output (MISO) identification problem that requires identification of all modules in the MISO setup. For…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Karthik R. Ramaswamy , Giulio Bottegal , Paul M. J. Van den Hof

Phasor Measurement Units (PMUs) are placed at strategic vertices in an electrical power network to monitor the flow of power. Determining the minimum number and optimal placement of PMUs is modeled by the graph theoretic process called…

Combinatorics · Mathematics 2026-05-27 Johnathan Koch , Beth Bjorkman