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Optimal sensor scheduling with applications to networked estimation and control systems is considered. We model sensor measurement and transmission instances using jumps between states of a continuous-time Markov chain. We introduce a cost…

Optimization and Control · Mathematics 2014-05-07 Farhad Farokhi , Karl H. Johansson

This paper formulates and solves a sequential detection problem that involves the mutual information (stochastic observability) of a Gaussian process observed in noise with missing measurements. The main result is that the optimal decision…

Optimization and Control · Mathematics 2015-05-30 Vikram Krishnamurthy , Robert Bitmead , Michel Gevers , Erik Miehling

Motivated by wide-ranging applications such as video delivery over networks using Multiple Description Codes, congestion control, and inventory management, we study the state-tracking of a Markovian random process with a known transition…

Information Theory · Computer Science 2017-03-06 Parisa Mansourifard , Tara Javidi , Bhaskar Krishnamachari

We consider a sequential problem in decentralized detection. Two observers can make repeated noisy observations of a binary hypothesis on the state of the environment. At any time, any of the two observers can stop and send a final message…

Optimization and Control · Mathematics 2015-03-17 Ashutosh Nayyar , Demosthenis Teneketzis

A random sequence having two segments being the homogeneous Markov processes is registered. Each segment has his own transition probability law and the length of the segment is unknown and random. The transition probabilities of each…

Statistics Theory · Mathematics 2020-11-17 A. Ochman-Gozdek , W. Sarnowski , K. J. Szajowski

We study selective monitors for labelled Markov chains. Monitors observe the outputs that are generated by a Markov chain during its run, with the goal of identifying runs as correct or faulty. A monitor is selective if it skips…

Formal Languages and Automata Theory · Computer Science 2018-07-03 Radu Grigore , Stefan Kiefer

We consider the problem of sequential decision making on random fields corrupted by noise. In this scenario, the decision maker observes a noisy version of the data, yet judged with respect to the clean data. In particular, we first…

Information Theory · Computer Science 2007-07-13 Asaf Cohen , Tsachy Weissman , Neri Merhav

In this paper, we study a continuous-time discounted jump Markov decision process with both controlled actions and observations. The observation is only available for a discrete set of time instances. At each time of observation, one has to…

Optimization and Control · Mathematics 2019-07-16 Yunhan Huang , Veeraruna Kavitha , Quanyan Zhu

A novel sequential change detection problem is proposed, in which the goal is to not only detect but also accelerate the change. Specifically, it is assumed that the sequentially collected observations are responses to treatments selected…

Statistics Theory · Mathematics 2024-06-24 Yanglei Song , Georgios Fellouris

The problem of detection and possible estimation of a signal generated by a dynamic system when a variable number of noisy measurements can be taken is here considered. Assuming a Markov evolution of the system (in particular, the pair…

Information Theory · Computer Science 2022-05-12 Emanuele Grossi , Marco Lops

A new model for controlled sensing for multihypothesis testing is proposed and studied in the sequential setting. This new model, termed {\em controlled Markovian observation} model, exhibits a more complicated memory structure in the…

Optimization and Control · Mathematics 2014-07-01 Sirin Nitinawarat , Venupogal V. Veeravalli

We design scheduling policies that minimize a risk-sensitive cost criterion for a remote estimation setup. Since risk-sensitive cost objective takes into account not just the mean value of the cost, but also higher order moments of its…

Optimization and Control · Mathematics 2024-03-22 Manali Dutta , Rahul Singh

We consider a unified framework of sequential change-point detection and hypothesis testing modeled by means of hidden Markov chains. One observes a sequence of random variables whose distributions are functionals of a hidden Markov chain.…

Optimization and Control · Mathematics 2013-12-13 Savas Dayanik , Kazutoshi Yamazaki

This work considers the sensor scheduling for multiple dynamic processes. We consider $n$ linear dynamic processes, the state of each process is measured by a sensor, which transmits their local state estimates over wireless channels to a…

Systems and Control · Computer Science 2025-04-03 Shuang Wu , Kemi Ding , Peng Cheng , Ling Shi

In this article, a general problem of sequential statistical inference for general discrete-time stochastic processes is considered. The problem is to minimize an average sample number given that Bayesian risk due to incorrect decision does…

Statistics Theory · Mathematics 2010-10-18 Andrey Novikov

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

Systems and Control · Computer Science 2016-11-17 Xiaobin Gao , Emrah Akyol , Tamer Basar

This paper addresses the challenge of a particular class of noisy state observations in Markov Decision Processes (MDPs), a common issue in various real-world applications. We focus on modeling this uncertainty through a confusion matrix…

Machine Learning · Computer Science 2023-12-15 Amirhossein Afsharrad , Sanjay Lall

The problem of real-time remote tracking and reconstruction of a two-state Markov process is considered here. A transmitter sends samples from an observed information source to a remote monitor over an unreliable wireless channel. The…

Information Theory · Computer Science 2023-09-22 Mehrdad Salimnejad , Marios Kountouris , Nikolaos Pappas

We investigate a remote estimation problem in which a transmitter observes a Markov source and chooses the power level to transmit it over a time-varying packet-drop channel. The channel is modeled as a channel with Markovian state where…

Systems and Control · Computer Science 2021-08-27 Jhelum Chakravorty , Aditya Mahajan

We consider the problem of transmission scheduling for the remote estimation of a discrete-time autoregressive Markov process that is driven by white Gaussian noise. A sensor observes this process, and then decides to either encode the…

Optimization and Control · Mathematics 2023-03-30 Manali Dutta , Rahul Singh
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