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The capability of a novel Kullback-Leibler divergence method is examined herein within the Kalman filter framework to select the input-parameter-state estimation execution with the most plausible results. This identification suffers from…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Marios Impraimakis

Parametric prediction error methods constitute a classical approach to the identification of linear dynamic systems with excellent large-sample properties. A more recent regularized approach, inspired by machine learning and Bayesian…

Systems and Control · Computer Science 2017-10-12 Johan Wågberg , Dave Zachariah , Thomas B. Schön

Identifying damage of structural systems is typically characterized as an inverse problem which might be ill-conditioned due to aleatory and epistemic uncertainties induced by measurement noise and modeling error. Sparse representation can…

Applications · Statistics 2020-06-09 Zhao Chen , Hao Sun

This paper presents a Bayesian method for identification of jump Markov linear system parameters. A primary motivation is to provide accurate quantification of parameter uncertainty without relying on asymptotic in data-length arguments. To…

Methodology · Statistics 2021-02-11 Mark P. Balenzuela , Adrian G. Wills , Christopher Renton , Brett Ninness

We consider the task of robust non-linear regression in the presence of both inlier noise and outliers. Assuming that the unknown non-linear function belongs to a Reproducing Kernel Hilbert Space (RKHS), our goal is to estimate the set of…

Machine Learning · Computer Science 2017-08-02 George Papageorgiou , Pantelis Bouboulis , Sergios Theodoridis

We propose a novel iterative algorithm for estimating a deterministic but unknown parameter vector in the presence of model uncertainties. This iterative algorithm is based on a system model where an overall noise term describes both, the…

Statistics Theory · Mathematics 2017-11-27 Oliver Lang , Michael Lunglmayr , Mario Huemer

Results from global sensitivity analysis (GSA) often guide the understanding of complicated input-output systems. Kernel-based GSA methods have recently been proposed for their capability of treating a broad scope of complex systems. In…

Methodology · Statistics 2022-08-09 John Barr , Herschel Rabitz

This paper presents a regularized recursive identification algorithm with simultaneous on-line estimation of both the model parameters and the algorithms hyperparameters. A new kernel is proposed to facilitate the algorithm development. The…

Methodology · Statistics 2024-05-14 Bernard Vau , Tudor-Bogdan Airimitoaie

We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems. Our approach hinges on the observation that much of the existing linear theory may…

Optimization and Control · Mathematics 2016-04-04 Jake Bouvrie , Boumediene Hamzi

Gray-box identification is prevalent in modeling physical and networked systems. However, due to the non-convex nature of the gray-box identification problem, good initial parameter estimates are crucial for a successful application. In…

Systems and Control · Computer Science 2016-11-15 Chengpu Yu , Lennart Ljung , Michel Verhaegen

Regularized least-squares approaches have been successfully applied to linear system identification. Recent approaches use quadratic penalty terms on the unknown impulse response defined by stable spline kernels, which control model space…

Machine Learning · Statistics 2018-07-27 Aleksandr Y. Aravkin , James V. Burke , Gianluigi Pillonetto

Rolling bearings are subject to various faults due to its long-time operation under harsh environment, which will lead to unexpected breakdown of machinery system and cause severe accidents. Deep learning methods recently have gained…

Machine Learning · Computer Science 2021-09-21 Mingxuan Liang , Kai Zhou

While the Graybox characterization method allows for implicit noise models and is platform-agnostic, the method lacks uncertainty quantification. Characterization of quantum devices is a crucial process that enables researchers to gain…

Quantum Physics · Physics 2025-09-30 Poramet Pathumsoot , Michal Hajdušek , Rodney Van Meter

Perception systems operate as a subcomponent of the general autonomy stack, and perception system designers often need to optimize performance characteristics while maintaining safety with respect to the overall closed-loop system. For this…

Robotics · Computer Science 2023-07-06 Sydney M. Katz , Anthony L. Corso , Esen Yel , Mykel J. Kochenderfer

We propose a framework for inversion-based estimation of certain categories of faults in discrete-time linear systems. The fault signal, as an unknown input, is reconstructed from its projections onto two subspaces. One projection is…

Systems and Control · Computer Science 2019-02-26 Esmaeil Naderi , Khashayar Khorasani

Problems of linear system identification have closed-form solutions, e.g., using least-squares or maximum-likelihood methods on input-output data. However, already the seemingly simplest problems of nonlinear system identification present…

Signal Processing · Electrical Eng. & Systems 2024-12-11 Svantje Voit , Gerald Enzner

This paper concerns identification of uncontrolled or closed loop nonlinear systems using a set of trajectories that are generated by the system in a domain of attraction. The objective is to ensure that the trajectories of the identified…

Systems and Control · Electrical Eng. & Systems 2022-10-25 Moad Abudia , Joel A. Rosenfeld , Rushikesh Kamalapurkar

Driven by the recent surge in neural-inspired modeling, point processes have gained significant traction in systems and control. While the Hawkes process is the standard model for characterizing random event sequences with memory,…

Methodology · Statistics 2026-02-25 Xinhui Rong , Girish N. Nair

Compressive sensing is a new technology for modern computational imaging systems. In comparison to widespread conventional image sensing, the compressive imaging paradigm requires specific forensic analysis techniques and tools. In this…

Computer Vision and Pattern Recognition · Computer Science 2018-11-09 Ali Taimori , Farokh Marvasti

Gaussian process regression is a well-established Bayesian machine learning method. We propose a new approach to Gaussian process regression using quantum kernels based on parameterized quantum circuits. By employing a hardware-efficient…

Quantum Physics · Physics 2024-02-06 Frederic Rapp , Marco Roth
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