Back to Search Start Over

PAC-Bayesian theory for stochastic LTI systems

Authors :
Eringis, Deividas
Leth, John-Josef
Tan, Zheng-Hua
Wisniewski, Rafal
Fakhrizadeh Esfahani, Alireza
Petreczky, Mihaly
Aalborg University [Denmark] (AAU)
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL)
Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)
Source :
IEEE Conference on Decision and Control, IEEE Conference on Decision and Control, Dec 2021, Austin, United States, Eringis, D, Leth, J-J, Tan, Z-H, Wisniewski, R, Fakhrizadeh Esfahani, A & Petreczky, M 2021, PAC-Bayesian theory for stochastic LTI systems . in 2021 60th IEEE Conference on Decision and Control (CDC) ., 9682808, IEEE, I E E E Conference on Decision and Control. Proceedings, pp. 6626-6633, 2021 60th IEEE Conference on Decision and Control (CDC), Austin, Texas, United States, 14/12/2021 . https://doi.org/10.1109/CDC45484.2021.9682808
Publication Year :
2021
Publisher :
HAL CCSD, 2021.

Abstract

International audience; 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 similar error bounds for more general dynamical systems, including recurrent neural networks. In turn, PAC-Bayesian error bounds are known to be useful for analyzing machine learning algorithms and for deriving new ones.

Details

Language :
English
Database :
OpenAIRE
Journal :
IEEE Conference on Decision and Control, IEEE Conference on Decision and Control, Dec 2021, Austin, United States, Eringis, D, Leth, J-J, Tan, Z-H, Wisniewski, R, Fakhrizadeh Esfahani, A & Petreczky, M 2021, PAC-Bayesian theory for stochastic LTI systems . in 2021 60th IEEE Conference on Decision and Control (CDC) ., 9682808, IEEE, I E E E Conference on Decision and Control. Proceedings, pp. 6626-6633, 2021 60th IEEE Conference on Decision and Control (CDC), Austin, Texas, United States, 14/12/2021 . https://doi.org/10.1109/CDC45484.2021.9682808
Accession number :
edsair.doi.dedup.....75861602f74d11baed473ac804d17538