no code implementations • 23 Aug 2022 • Karthik R. Ramaswamy, Giulio Bottegal, Paul M. J. Van den Hof
The related optimization problem is solved using an Expectation-Maximization (EM) method, where we employ a Markov-chain Monte Carlo (MCMC) technique to reconstruct the unknown missing node information and the network dynamics.
no code implementations • 8 Jun 2017 • Giulio Bottegal, Gianluigi Pillonetto
Generalized cross validation (GCV) is one of the most important approaches used to estimate parameters in the context of inverse problems and regularization techniques.
no code implementations • 3 Oct 2016 • Giulio Bottegal, Håkan Hjalmarsson, Gianluigi Pillonetto
In this paper we introduce a novel method for linear system identification with quantized output data.
no code implementations • 8 Aug 2016 • Aleksandr Y. Aravkin, Giulio Bottegal, Gianluigi Pillonetto
We show that boosting with this learner is equivalent to estimation with a special {\it boosting kernel} that depends on $K$, as well as on the regression matrix, noise variance, and hyperparameters.
no code implementations • 30 Apr 2015 • Riccardo Sven Risuleo, Giulio Bottegal, Håkan Hjalmarsson
We show that the resulting scheme provides an estimate of the overparameterized vector that can be uniquely decomposed as the combination of an impulse response and $p$ coefficients of the static nonlinearity.
no code implementations • 30 Apr 2015 • Riccardo Sven Risuleo, Giulio Bottegal, Håkan Hjalmarsson
Recent developments in system identification have brought attention to regularized kernel-based methods, where, adopting the recently introduced stable spline kernel, prior information on the unknown process is enforced.
no code implementations • 26 Apr 2015 • Giulio Bottegal, Gianluigi Pillonetto, Håkan Hjalmarsson
Numerical simulations show a substantial improvement in the accuracy of the estimates over state-of-the-art kernel-based methods when employed in identification of systems with quantized data.
no code implementations • 12 Dec 2014 • Giulio Bottegal, Riccardo S. Risuleo, Håkan Hjalmarsson
The structure of the covariance matrix (or kernel) of such a process is given by the stable spline kernel, which has been recently introduced for system identification purposes and depends on an unknown hyperparameter.
no code implementations • 21 Nov 2014 • Giulio Bottegal, Aleksandr Y. Aravkin, Håkan Hjalmarsson, Gianluigi Pillonetto
In this paper, we introduce a novel method to robustify kernel-based system identification methods.
no code implementations • 21 Dec 2013 • Giulio Bottegal, Aleksandr Y. Aravkin, Hakan Hjalmarsson, Gianluigi Pillonetto
In this paper, we propose an outlier-robust regularized kernel-based method for linear system identification.