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We study a remote estimation setup with an autoregressive (AR) Markov process, a sensor, and a remote estimator. The sensor observes the process and sends encoded observations to the estimator as packets over an unreliable communication…

Optimization and Control · Mathematics 2025-12-29 Manali Dutta , Rahul Singh , Shalabh Bhatnagar

This paper studies efficient data management and timely information dissemination for real-time monitoring of an $N$-state Markov process, enabling accurate state estimation and reliable actuation decisions. First, we analyze the Age of…

Information Theory · Computer Science 2026-04-02 Mehrdad Salimnejad , Anthony Ephremides , Marios Kountouris , Nikolaos Pappas

State estimation is a fundamental problem in control and signal processing, for which the Kalman Filter provides an optimal solution under linear dynamics, Gaussian noise, and known noise covariances. However, these assumptions often fail…

Machine Learning · Computer Science 2026-05-27 Vasileios Saketos , Ming Xiao

Consider a remote estimation problem where a sensor wants to communicate the state of an uncertain source to a remote estimator over a finite time horizon. The uncertain source is modeled as an autoregressive process with bounded noise.…

Systems and Control · Computer Science 2019-02-12 Mukul Gagrani , Yi Ouyang , Mohammad Rasouli , Ashutosh Nayyar

This paper revisits the problem of sampling and transmitting status updates through a channel with random delay under a sampling frequency constraint \cite{sun_17_tit}. We use the Age of Information (AoI) to characterize the status…

Information Theory · Computer Science 2023-01-05 Haoyue Tang , Yuchao Chen , Jintao Wang , Pengkun Yang , Leandros Tassiulas

Age of information (AoI), defined as the time elapsed since the last received update was generated, is a newly proposed metric to measure the timeliness of information updates in a network. We consider AoI minimization problem for a network…

Information Theory · Computer Science 2018-03-20 Rajat Talak , Sertac Karaman , Eytan Modiano

In this paper, we consider a problem of sampling a Wiener process, with samples forwarded to a remote estimator via a channel that consists of a queue with random delay. The estimator reconstructs a real-time estimate of the signal from…

Information Theory · Computer Science 2017-05-26 Yin Sun , Yury Polyanskiy , Elif Uysal-Biyikoglu

We consider the problem of real-time remote monitoring of a two-state Markov process, where a sensor observes the state of the source and makes a decision on whether to transmit the status updates over an unreliable channel or not. We…

Information Theory · Computer Science 2024-06-24 Mehrdad Salimnejad , Marios Kountouris , Anthony Ephremides , Nikolaos Pappas

We consider the scenario in which a continuous-time Gauss-Markov process is estimated by the Kalman-Bucy filter over a Gaussian channel (sensor) with a variable sensor gain. The problem of scheduling the sensor gain over a finite time…

Systems and Control · Electrical Eng. & Systems 2022-03-30 Vrushabh Zinage , Takashi Tanaka , Valeri Ugrinovskii

This paper investigates the problem of minimizing the Age of Incorrect Information (AoII) when the communication channel has a random delay. We consider a slotted-time system where a transmitter observes a dynamic source and decides when to…

Information Theory · Computer Science 2023-01-19 Yutao Chen , Anthony Ephremides

We develop a general framework for state estimation in systems modeled with noise-polluted continuous time dynamics and discrete time noisy measurements. Our approach is based on maximum likelihood estimation and employs the calculus of…

Optimization and Control · Mathematics 2026-01-16 Griffin M. Kearney , Makan Fardad

Scheduling updates from remote sensors is a key task for the internet of things (IoT). In this context, the mathematical concept of age of information is often used to capture the freshness of received data. This is, in turn, relevant to…

Information Theory · Computer Science 2022-08-31 Andrea Munari , Leonardo Badia

The Internet of Things (IoT) is an emerging next-generation technology in the fourth industrial revolution. In industrial IoT networks, sensing devices are largely deployed to monitor various types of physical processes. They are required…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Zijing Wang , Mihai-Alin Badiu , Justin P. Coon

This paper considers a sequential sensor scheduling and remote estimation problem with one sensor and one estimator. The sensor makes sequential observations about the state of an underlying memoryless stochastic process and makes a…

Optimization and Control · Mathematics 2016-10-19 Xiaobin Gao , Emrah Akyol , Tamer Basar

In this work, we study a status update system with a source node sending timely information to the destination through a channel with random delay. We measure the timeliness of the information stored at the receiver via the Age of…

Information Theory · Computer Science 2022-01-19 Haoyue Tang , Yuchao Chen , Jintao Wang , Jingzhou Sun , Jian Song

In this paper, we consider a problem of sampling a Wiener process, with samples forwarded to a remote estimator over a channel that is modeled as a queue. The estimator reconstructs an estimate of the real-time signal value from causally…

Information Theory · Computer Science 2019-08-20 Yin Sun , Yury Polyanskiy , Elif Uysal

The optimization of Value of Information (VoI) in sensor networks integrates awareness of the measured process in the communication system. However, most existing scheduling algorithms do not consider the specific needs of monitoring…

Networking and Internet Architecture · Computer Science 2022-04-27 Federico Chiariotti , Anders E. Kalør , Josefine Holm , Beatriz Soret , Petar Popovski

The age of Information (AoI) has been introduced to capture the notion of freshness in real-time monitoring applications. However, this metric falls short in many scenarios, especially when quantifying the mismatch between the current and…

Information Theory · Computer Science 2023-09-06 Saad Kriouile , Mohamad Assaad

In this chapter, we study the consistency of the value of information$\unicode{x2014}$a semantic metric that claims to determine the right piece of information in networked control systems tasks$\unicode{x2014}$in a lossy and delayed…

Information Theory · Computer Science 2024-03-19 Touraj Soleymani , John S. Baras , Siyi Wang , Sandra Hirche , Karl H. Johansson

We consider a scenario where a base station (BS) attempts to collect fresh information from power constrained sensors over time-varying band-limited wireless channels. We characterize the data freshness through the recently proposed…

Information Theory · Computer Science 2019-10-15 Haoyue Tang , Jintao Wang , Philippe Ciblat , Jian Song