PAC-Bayes Generalisation Bounds for Dynamical Systems Including Stable RNNs

D Eringis, J Leth, ZH Tan, R Wisniewski… - Proceedings of the …, 2024 - ojs.aaai.org
In this paper, we derive a PAC-Bayes bound on the generalisation gap, in a supervised time-
series setting for a special class of discrete-time non-linear dynamical systems. This class …

Relative almost sure regret bounds for certainty equivalence control of markov jump systems

B Sayedana, M Afshari, PE Caines… - 2023 62nd IEEE …, 2023 - ieeexplore.ieee.org
In this paper, we consider learning and control problem in an unknown Markov jump linear
system (MJLS) with perfect state observations. We first establish a generic upper bound on …

Finite-time Sample Complexity Analysis of Least Square Identifying Stochastic Switched Linear System

N Musavi, GE Dullerud - 2023 62nd Annual Conference of the …, 2023 - ieeexplore.ieee.org
In this paper, we examine the high-probability finite-time theoretical guarantees of the least
squares method for system identification of switched linear systems with process noise and …