Statistical learning theory for control: A finite-sample perspective
Learning algorithms have become an integral component to modern engineering solutions.
Examples range from self-driving cars and recommender systems to finance and even …
Examples range from self-driving cars and recommender systems to finance and even …
A tutorial on the non-asymptotic theory of system identification
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 …
theory of-mainly linear-system identification. We emphasize tools we deem particularly …
Linear systems can be hard to learn
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 …
finite sample regime. Statistically easy to learn linear system classes have sample …
A new approach to learning linear dynamical systems
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 …
built. Both the celebrated Kalman filter and the linear quadratic regulator require knowledge …
Learning to control linear systems can be hard
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 …
on two standard benchmarks, the sample complexity of stabilization, and the regret of the …
Online learning of the kalman filter with logarithmic regret
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 …
unknown, partially observable linear system, which is driven by Gaussian noise. In the linear …
Streaming linear system identification with reverse experience replay
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 …
single trajectory via streaming algorithms, which is encountered in several applications …
Fundamental limit on siso system identification
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 …
(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 …
design pipeline. In the partially observed setting there are two components to identification …
Learning Linear Dynamics from Bilinear Observations
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 …
with linear state transitions and bilinear observations. Under very mild assumptions on the …