Goal-oriented Estimation of Multiple Markov Sources in Resource-constrained Systems

Fuente: arXiv
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Autores principales: Luo, Jiping, Pappas, Nikolaos
Formato: Preprint
Publicado: 2023
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author Luo, Jiping
Pappas, Nikolaos
author_facet Luo, Jiping
Pappas, Nikolaos
contents This paper investigates goal-oriented communication for remote estimation of multiple Markov sources in resource-constrained networks. An agent decides the updating times of the sources and transmits the packet to a remote destination over an unreliable channel with delay. The destination is tasked with source reconstruction for actuation. We utilize the metric \textit{cost of actuation error} (CAE) to capture the state-dependent actuation costs. We aim for a sampling policy that minimizes the long-term average CAE subject to an average resource constraint. We formulate this problem as an average-cost constrained Markov Decision Process (CMDP) and relax it into an unconstrained problem by utilizing \textit{Lyapunov drift} techniques. Then, we propose a low-complexity \textit{drift-plus-penalty} (DPP) policy for systems with known source/channel statistics and a Lyapunov optimization-based deep reinforcement learning (LO-DRL) policy for unknown environments. Our policies significantly reduce the number of uninformative transmissions by exploiting the timing of the important information.
format Preprint
id arxiv_https___arxiv_org_abs_2311_07346
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Goal-oriented Estimation of Multiple Markov Sources in Resource-constrained Systems
Luo, Jiping
Pappas, Nikolaos
Systems and Control
Information Theory
Networking and Internet Architecture
This paper investigates goal-oriented communication for remote estimation of multiple Markov sources in resource-constrained networks. An agent decides the updating times of the sources and transmits the packet to a remote destination over an unreliable channel with delay. The destination is tasked with source reconstruction for actuation. We utilize the metric \textit{cost of actuation error} (CAE) to capture the state-dependent actuation costs. We aim for a sampling policy that minimizes the long-term average CAE subject to an average resource constraint. We formulate this problem as an average-cost constrained Markov Decision Process (CMDP) and relax it into an unconstrained problem by utilizing \textit{Lyapunov drift} techniques. Then, we propose a low-complexity \textit{drift-plus-penalty} (DPP) policy for systems with known source/channel statistics and a Lyapunov optimization-based deep reinforcement learning (LO-DRL) policy for unknown environments. Our policies significantly reduce the number of uninformative transmissions by exploiting the timing of the important information.
title Goal-oriented Estimation of Multiple Markov Sources in Resource-constrained Systems
topic Systems and Control
Information Theory
Networking and Internet Architecture
url https://arxiv.org/abs/2311.07346