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In this paper we introduce a novel method for linear system identification with quantized output data. We model the impulse response as a zero-mean Gaussian process whose covariance (kernel) is given by the recently proposed stable spline…

Systems and Control · Computer Science 2015-04-28 Giulio Bottegal , Gianluigi Pillonetto , Håkan Hjalmarsson

In this paper we introduce a novel method for linear system identification with quantized output data. We model the impulse response as a zero-mean Gaussian process whose covariance (kernel) is given by the recently proposed stable spline…

Systems and Control · Computer Science 2017-06-21 Giulio Bottegal , Håkan Hjalmarsson , Gianluigi Pillonetto

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

In this contribution, we propose a kernel-based method for the identification of linear systems from noisy and incomplete input-output datasets. We model the impulse response of the system as a Gaussian process whose covariance matrix is…

Systems and Control · Computer Science 2017-01-18 Riccardo Sven Risuleo , Giulio Bottegal , Håkan Hjalmarsson

We propose a new method for blind system identification. Resorting to a Gaussian regression framework, we model the impulse response of the unknown linear system as a realization of a Gaussian process. The structure of the covariance matrix…

Systems and Control · Computer Science 2016-05-20 Giulio Bottegal , Riccardo S. Risuleo , Håkan Hjalmarsson

In this paper, we propose an outlier-robust regularized kernel-based method for linear system identification. The unknown impulse response is modeled as a zero-mean Gaussian process whose covariance (kernel) is given by the recently…

Machine Learning · Statistics 2013-12-25 Giulio Bottegal , Aleksandr Y. Aravkin , Hakan Hjalmarsson , Gianluigi Pillonetto

In this paper, we propose a novel algorithm for the identification of Hammerstein systems. Adopting a Bayesian approach, we model the impulse response of the unknown linear dynamic system as a realization of a zero-mean Gaussian process.…

Systems and Control · Computer Science 2016-05-20 Riccardo Sven Risuleo , Giulio Bottegal , Håkan Hjalmarsson

A new Bayesian approach to linear system identification has been proposed in a series of recent papers. The main idea is to frame linear system identification as predictor estimation in an infinite dimensional space, with the aid of…

Machine Learning · Statistics 2015-07-03 Diego Romeres , Gianluigi Pillonetto , Alessandro Chiuso

A new nonparametric approach for system identification has been recently proposed where the impulse response is seen as the realization of a zero--mean Gaussian process whose covariance, the so--called stable spline kernel, guarantees that…

Statistics Theory · Mathematics 2016-11-18 Francesca Paola Carli

Kernel-based methods have been recently introduced for linear system identification as an alternative to parametric prediction error methods. Adopting the Bayesian perspective, the impulse response is modeled as a non-stationary Gaussian…

Optimization and Control · Mathematics 2017-03-16 Mattia Zorzi , Alessandro Chiuso

Learning models of dynamical systems characterized by specific stability properties is of crucial importance in applications. Existing results mainly focus on linear systems or some limited classes of nonlinear systems and stability…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Matteo Scandella , Michelangelo Bin , Thomas Parisini

Many problems arising in control require the determination of a mathematical model of the application. This has often to be performed starting from input-output data, leading to a task known as system identification in the engineering…

Machine Learning · Statistics 2023-03-01 Wenqi Cao , Gianluigi Pillonetto

Inspired by ideas taken from the machine learning literature, new regularization techniques have been recently introduced in linear system identification. In particular, all the adopted estimators solve a regularized least squares problem,…

Systems and Control · Computer Science 2015-07-03 Gianluigi Pillonetto , Tianshi Chen , Alessandro Chiuso , Giuseppe De Nicolao , Lennart Ljung

Nonlinear dynamics are ubiquitous in science and engineering applications, but the physics of most complex systems is far from being fully understood. Discovering interpretable governing equations from measurement data can help us…

Machine Learning · Computer Science 2022-10-18 Luning Sun , Daniel Zhengyu Huang , Hao Sun , Jian-Xun Wang

We consider the identification of large-scale linear and stable dynamic systems whose outputs may be the result of many correlated inputs. Hence, severe ill-conditioning may affect the estimation problem. This is a scenario often arising…

Dynamical Systems · Mathematics 2022-09-07 Wenqi Cao , Gianluigi Pillonetto

Prediction of dynamical time series with additive noise using support vector machines or kernel based regression has been proved to be consistent for certain classes of discrete dynamical systems. Consistency implies that these methods are…

Machine Learning · Statistics 2018-06-21 Raymundo Navarrete , Divakar Viswanath

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

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

This paper presents a kernelized offset-free data-driven predictive control scheme for nonlinear systems. Traditional model-based and data-driven predictive controllers often struggle with inaccurate predictors or persistent disturbances,…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Thomas Oliver de Jong , Mircea Lazar

Observations made in continuous time are often irregular and contain the missing values across different channels. One approach to handle the missing data is imputing it using splines, by fitting the piecewise polynomials to the observed…

Machine Learning · Computer Science 2022-10-20 Marin Biloš , Emanuel Ramneantu , Stephan Günnemann
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