Consider a control problem with a communication channel connecting the observer of a
linear stochastic system to the controller. The goal of the controller is to minimize a quadratic …

Sequential rate-distortion (SRD) theory provides a framework for studying the fundamental
trade-off between data-rate and data-quality in real-time communication systems. In this …

We consider a discrete-time linear-quadratic-Gaussian (LQG) control problem, in which
Massey's directed information from the observed output of the plant to the control input is …

We deal with zero-delay source coding of a vector-valued Gauss–Markov source subject to
a mean-squared error (MSE) fidelity criterion characterized by the operational zero-delay …

In this paper, we develop finite-time horizon causal filters for general processes taking
values in Polish spaces using the nonanticipative rate distortion function (NRDF) …

Directed information or its variants are utilized extensively in the characterization of the
capacity of channels with memory and feedback, nonanticipative lossy data compression …

With countless promising applications in various domains such as IoT and Industry 4.0, task-
oriented communication design (TOCD) is getting accelerated attention from the research …

In this paper, we consider a discrete time linear quadratic Gaussian (LQG) control problem
in which state information of the plant is encoded in a variable-length binary codeword at …

We consider the problem of tracking the state of Gauss-Markov processes over rate-limited
erasure-prone links. We concentrate first on the scenario in which several independent …

We study the problem of characterizing and computing the Gaussian nonanticipative rate-
distortion function (NRDF) of partially observable multivariate Gauss–Markov processes with …