Statistical learning theory for control: A finite-sample perspective

A Tsiamis, I Ziemann, N Matni… - IEEE Control Systems …, 2023 - ieeexplore.ieee.org
Learning algorithms have become an integral component to modern engineering solutions.
Examples range from self-driving cars and recommender systems to finance and even …

A tutorial on the non-asymptotic theory of system identification

I Ziemann, A Tsiamis, B Lee, Y Jedra… - 2023 62nd IEEE …, 2023 - ieeexplore.ieee.org
This tutorial serves as an introduction to recently developed non-asymptotic methods in the
theory of-mainly linear-system identification. We emphasize tools we deem particularly …

Linear systems can be hard to learn

A Tsiamis, GJ Pappas - … 60th IEEE Conference on Decision and …, 2021 - ieeexplore.ieee.org
In this paper, we investigate when system identification is statistically easy or hard, in the
finite sample regime. Statistically easy to learn linear system classes have sample …

A new approach to learning linear dynamical systems

A Bakshi, A Liu, A Moitra, M Yau - Proceedings of the 55th Annual ACM …, 2023 - dl.acm.org
Linear dynamical systems are the foundational statistical model upon which control theory is
built. Both the celebrated Kalman filter and the linear quadratic regulator require knowledge …

Learning to control linear systems can be hard

A Tsiamis, IM Ziemann, M Morari… - … on Learning Theory, 2022 - proceedings.mlr.press
In this paper, we study the statistical difficulty of learning to control linear systems. We focus
on two standard benchmarks, the sample complexity of stabilization, and the regret of the …

Online learning of the kalman filter with logarithmic regret

A Tsiamis, GJ Pappas - IEEE Transactions on Automatic …, 2022 - ieeexplore.ieee.org
In this article, we consider the problem of predicting observations generated online by an
unknown, partially observable linear system, which is driven by Gaussian noise. In the linear …

Streaming linear system identification with reverse experience replay

S Kowshik, D Nagaraj, P Jain… - Advances in Neural …, 2021 - proceedings.neurips.cc
We consider the problem of estimating a linear time-invariant (LTI) dynamical system from a
single trajectory via streaming algorithms, which is encountered in several applications …

Fundamental limit on siso system identification

J Li, S Sun, Y Mo - 2022 IEEE 61st Conference on Decision …, 2022 - ieeexplore.ieee.org
This paper is concerned with the fundamental limit on the identification of discrete-time SISO
(Single Input Single Output) system, where the diagonal canonical form of the system is …

Large-scale system identification using a randomized svd

H Wang, J Anderson - 2022 American Control Conference …, 2022 - ieeexplore.ieee.org
Learning a dynamical system from input/output data is a fundamental task in the control
design pipeline. In the partially observed setting there are two components to identification …

Learning Linear Dynamics from Bilinear Observations

Y Sattar, Y Jedra, S Dean - arXiv preprint arXiv:2409.16499, 2024 - arxiv.org
We consider the problem of learning a realization of a partially observed dynamical system
with linear state transitions and bilinear observations. Under very mild assumptions on the …