4 papers
PAC-Bayesian theory for stochastic LTI systems
Deividas Eringis, John Leth, Zheng-Hua Tan +3
In this paper we derive a PAC-Bayesian error bound for autonomous stochastic LTI state-space models. The motivation for deriving such error bounds is that they will allow deriving…
Improved PAC-Bayesian Bounds for Linear Regression
Vera Shalaeva, Alireza Fakhrizadeh Esfahani, Pascal Germain +1
In this paper, we improve the PAC-Bayesian error bound for linear regression derived in Germain et al. [10]. The improvements are twofold. First, the proposed error bound is tighte…
Parameter reduction in nonlinear state-space identification of hysteresis
Alireza Fakhrizadeh Esfahani, Philippe Dreesen, Koen Tiels +2
Hysteresis is a highly nonlinear phenomenon, showing up in a wide variety of science and engineering problems. The identification of hysteretic systems from input-output data is a…
A nonlinear state-space approach to hysteresis identification
Jean-Philippe Noël, Alireza F. Esfahani, Gaetan Kerschen +1
Most studies tackling hysteresis identification in the technical literature follow white-box approaches, i.e. they rely on the assumption that measured data obey a specific hystere…