Finite-sample guarantees for state-space system identification under full state measurements

G Baggio, A Carè, G Pillonetto - 2022 IEEE 61st Conference on …, 2022 - ieeexplore.ieee.org
Complementing data-driven models of dynamic systems with certificates of reliability and
safety is of critical importance in many applications, such as in the design of robust control …

State observation with guaranteed confidence regions through sign perturbed sums

P Polterauer, H Kirchsteiger… - 2015 54th IEEE …, 2015 - ieeexplore.ieee.org
Standard state estimation approaches do not provide guaranteed confidence regions for
finite data amounts. For some applications, in particular safety critical ones, this can be of …

Closed-loop applicability of the Sign-Perturbed Sums method

BC Csáji, E Weyer - 2015 54th IEEE Conference on Decision …, 2015 - ieeexplore.ieee.org
Sign-Perturbed Sums (SPS) is a non-asymptotic system identification method that can
construct confidence regions for general linear systems. It works under mild statistical …

Confidence Regions for Parameters of Errors-In-Variables Systems Using Sign-Perturbed Sums

MM Khorasani, E Weyer - 2019 IEEE 58th Conference on …, 2019 - ieeexplore.ieee.org
In this paper, the problem of constructing non-asymptotic confidence regions for Errors-In-
Variables (EIV) systems is considered. In EIV systems both the input and the output …

Strong consistency of the Sign-Perturbed Sums method

BC Csáji, MC Campi, E Weyer - 53rd IEEE Conference on …, 2014 - ieeexplore.ieee.org
Sign-Perturbed Sums (SPS) is a recently developed non-asymptotic system identification
algorithm that constructs confidence regions for parameters of dynamical systems. It works …

Sample Complexity of the Sign-Perturbed Sums Identification Method: Scalar Case

S Szentpéteri, BC Csáji - IFAC-PapersOnLine, 2023 - Elsevier
Abstract Sign-Perturbed Sum (SPS) is a powerful finite-sample system identification
algorithm which can construct confidence regions for the true data generating system with …

A simple condition for the boundedness of Sign-Perturbed-Sums (SPS) confidence regions

A Carè - Automatica, 2022 - Elsevier
Abstract Sign-Perturbed-Sums (SPS) is a system identification algorithm that, under mild
assumptions on the distribution of the noise, constructs confidence regions with finite …

Towards finite sample networked system identification: a cascade network example

MM Khorasani, E Weyer - 2020 59th IEEE Conference on …, 2020 - ieeexplore.ieee.org
Finite sample system identification (FSID) methods construct confidence regions for system
parameters with non-asymptotic guarantees under minimal assumptions on the noise …

Sign-Perturbed Sums (SPS) with asymmetric noise: Robustness analysis and robustification techniques

A Care, BC Csáji, MC Campi - 2016 IEEE 55th Conference on …, 2016 - ieeexplore.ieee.org
Sign-Perturbed Sums (SPS) is a recently developed finite sample system identification
method that can build exact confidence regions for linear regression problems under mild …

Guaranteed non-asymptotic confidence ellipsoids for FIR systems

E Weyer, BC Csáji, MC Campi - 52nd IEEE Conference on …, 2013 - ieeexplore.ieee.org
Recently, a new finite-sample system identification algorithm, called Sign-Perturbed Sums
(SPS), was introduced in [2]. SPS constructs finite-sample confidence regions that are …