Search Results for author: Giulio Bottegal

Found 10 papers, 0 papers with code

Learning linear modules in a dynamic network with missing node observations

no code implementations23 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.

Data Augmentation Gaussian Processes

The Generalized Cross Validation Filter

no code implementations8 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.

A new kernel-based approach to system identification with quantized output data

no code implementations3 Oct 2016 Giulio Bottegal, Håkan Hjalmarsson, Gianluigi Pillonetto

In this paper we introduce a novel method for linear system identification with quantized output data.

Boosting as a kernel-based method

no code implementations8 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.

General Classification regression

A new kernel-based approach for overparameterized Hammerstein system identification

no code implementations30 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.

On the estimation of initial conditions in kernel-based system identification

no code implementations30 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.

Bayesian kernel-based system identification with quantized output data

no code implementations26 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.

Blind system identification using kernel-based methods

no code implementations12 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.

Robust EM kernel-based methods for linear system identification

no code implementations21 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.

Outlier robust system identification: a Bayesian kernel-based approach

no code implementations21 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.

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