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Inference for streaming time-series is tightly coupled with the problem of Bayesian on-line state and parameter inference. In this paper we will introduce Dynamic Generalised Linear Models, the class of models often chosen to model…

Computation · Statistics 2016-09-01 Rui Vieira , Darren J. Wilkinson

This paper focuses on the stabilization and regulation of linear systems affected by quantization in state-transition data and actuated input. The observed data are composed of tuples of current state, input, and the next state's interval…

Optimization and Control · Mathematics 2023-09-26 Jared Miller , Jian Zheng , Mario Sznaier , Chris Hixenbaugh

The development of large databases of material properties, together with the availability of powerful computers, has allowed machine learning (ML) modeling to become a widely used tool for predicting material performances. While confidence…

Materials Science · Physics 2023-10-23 Francesca Tavazza , Kamal Choudhary , Brian DeCost

This paper considers parameter estimation for nonlinear state-space models, which is an important but challenging problem. We address this challenge by employing a variational inference (VI) approach, which is a principled method that has…

Machine Learning · Statistics 2022-09-15 Jarrad Courts , Adrian Wills , Thomas Schön , Brett Ninness

This paper examines model parameter estimation in dynamic power systems whose governing electro-mechanical equations are ill-conditioned or singular. This ill-conditioning is because of converter-interfaced power systems generators' zero or…

Systems and Control · Electrical Eng. & Systems 2022-08-10 Rajasekhar Anguluri , Lalitha Sankar , Oliver Kosut

Designing estimation algorithms for systems governed by partial differential equations (PDEs) such as fluid flows is challenging due to the high-dimensional and oftentimes nonlinear nature of the dynamics, as well as their dependence on…

Systems and Control · Electrical Eng. & Systems 2023-12-20 Saviz Mowlavi , Mouhacine Benosman

Developing a unified small-signal model for modern, large-scale power systems that remains accurate across a wide range of operating ranges presents a formidable challenge. Traditional methods, spanning mechanistic modeling, modal…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Weicheng Liu , Di Liu , Songyan Zhang , Chao Lu

Spectral estimation (SE) aims to identify how the energy of a signal (e.g., a time series) is distributed across different frequencies. This can become particularly challenging when only partial and noisy observations of the signal are…

Machine Learning · Statistics 2019-01-15 Felipe Tobar

This paper considers the low-observability state estimation problem in power distribution networks and develops a decentralized state estimation algorithm leveraging the matrix completion methodology. Matrix completion has been shown to be…

Optimization and Control · Mathematics 2019-10-14 April Sagan , Yajing Liu , Andrey Bernstein

Two non-intrusive uncertainty propagation approaches are proposed for the performance analysis of engineering systems described by expensive-to-evaluate deterministic computer models with parameters defined as interval variables. These…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Alice Cicirello , Filippo Giunta

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

This study presents a novel approach to quantifying uncertainties in Bayesian model updating, which is effective in sparse or single observations. Conventional uncertainty quantification metrics such as the Euclidean and Bhattacharyya…

Applications · Statistics 2024-10-14 Sangwon Lee , Taro Yaoyama , Yuma Matsumoto , Takenori Hida , Tatsuya Itoi

In the power system, state estimation (SE) is important monitoring task for the reliable operation of the system. The optimal estimate from the SE is delivered to all EMS application such as fault analysis, automatic generation control.…

Optimization and Control · Mathematics 2018-02-20 Byungkwon Park

This paper introduces a multi-timescale stochastic programming framework designed to address decision-making challenges in power systems, particularly those with high renewable energy penetration. The framework models interactions across…

Optimization and Control · Mathematics 2025-08-13 Yihang Zhang , Suvrajeet Sen

This paper studies a distributed state estimation problem for both continuous- and discrete-time linear systems. A simply structured distributed estimator (comprising interconnected local estimators) is first described for estimating the…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Lili Wang , Ji Liu , Brian B. O. Anderson , A. Stephen Morse

The classical approach to linear system identification is given by parametric Prediction Error Methods (PEM). In this context, model complexity is often unknown so that a model order selection step is needed to suitably trade-off bias and…

Machine Learning · Statistics 2013-03-13 Aleksandr Y. Aravkin , James V. Burke , Gianluigi Pillonetto

Understanding how the optimal value of an optimisation problem changes when its input data is modified is an old question in mathematical optimisation. This paper investigates the computation of the optimal values of a family of (possibly…

Optimization and Control · Mathematics 2026-03-02 Guillaume Derval , Damien Ernst , Quentin Louveaux , Bardhyl Miftari

Recently, the distributed state estimation problem for continuous-time linear systems over jointly connected switching networks was solved. It was shown that the estimation errors will asymptotically converge to the origin by using the…

Optimization and Control · Mathematics 2022-10-07 Tao Liu , Jie Huang

This paper discusses the problem of estimating the state of a linear time-invariant system when some of its sensors and actuators are compromised by an adversarial agent. In the model considered in this paper, the malicious agent attacks an…

Optimization and Control · Mathematics 2019-04-04 Mehrdad Showkatbakhsh , Yasser Shoukry , Suhas Diggavi , Paulo Tabuada

Peak estimation of hybrid systems aims to upper bound extreme values of a state function along trajectories, where this state function could be different in each subsystem. This finite-dimensional but nonconvex problem may be lifted into an…

Optimization and Control · Mathematics 2023-03-22 Jared Miller , Mario Sznaier