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Related papers: Fluid Model Checking of Timed Properties

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We consider time-continuous Markovian discrete-state dynamics on random networks of interacting agents and study the large population limit. The dynamics are projected onto low-dimensional collective variables given by the shares of each…

Probability · Mathematics 2026-03-19 Marvin Lücke , Jobst Heitzig , Péter Koltai , Nora Molkenthin , Stefanie Winkelmann

We consider a setting in which $N$ agents aim to speedup a common Stochastic Approximation (SA) problem by acting in parallel and communicating with a central server. We assume that the up-link transmissions to the server are subject to…

Artificial Intelligence · Computer Science 2024-08-05 Nicolò Dal Fabbro , Arman Adibi , H. Vincent Poor , Sanjeev R. Kulkarni , Aritra Mitra , George J. Pappas

In this paper, we study a distributed parameter estimation problem with an asynchronous communication protocol over multi-agent systems. Different from traditional time-driven communication schemes, in this work, data can be transmitted…

Systems and Control · Computer Science 2019-03-04 Xingkang He , Qian Liu , Junfeng Wu , Karl Henrik Johansson

Probabilistic timed automata are an extension of timed automata with discrete probability distributions. We consider model-checking algorithms for the subclasses of probabilistic timed automata which have one or two clocks. Firstly, we show…

Logic in Computer Science · Computer Science 2019-03-14 Marcin Jurdzinski , Francois Laroussinie , Jeremy Sproston

The goal of this paper is to investigate distributed temporal difference (TD) learning for a networked multi-agent Markov decision process. The proposed approach is based on distributed optimization algorithms, which can be interpreted as…

Machine Learning · Computer Science 2025-05-14 Han-Dong Lim , Donghwan Lee

We consider the synthesis of control policies from temporal logic specifications for robots that interact with multiple dynamic environment agents. Each environment agent is modeled by a Markov chain whereas the robot is modeled by a finite…

Robotics · Computer Science 2012-03-07 Tichakorn Wongpiromsarn , Alphan Ulusoy , Calin Belta , Emilio Frazzoli , Daniela Rus

Timed automata are the formal model for real-time systems. Extensions with discrete probabilistic branching have been considered in the literature and successfully applied. Probabilistic timed automata (PTA) do require all branching…

Logic in Computer Science · Computer Science 2024-03-05 Darion Haase , Joost-Pieter Katoen

In opinion dynamics, time delays in agent-to-agent interactions are ubiquitous, which can substantially disrupt the dynamical processes rooted in agents' opinion exchange, decision-making, and feedback mechanisms. However, a thorough…

Optimization and Control · Mathematics 2025-01-22 Lingling Yao , Aming Li

This paper considers a strongly connected network of agents, each capable of partially observing and controlling a discrete-time linear time-invariant (LTI) system that is jointly observable and controllable. Additionally, agents…

Systems and Control · Electrical Eng. & Systems 2024-02-29 Camilla Fioravanti , Evagoras Makridis , Gabriele Oliva , Maria Vrakopoulou , Themistoklis Charalambous

In recent years fluid approaches to the analysis of Markov populations models have been demonstrated to have great pragmatic value. Initially developed to estimate the behaviour of the system in terms of the expected values of population…

Logic in Computer Science · Computer Science 2015-09-30 Luca Bortolussi , Jane Hillston

Timed automata (TA) have been widely adopted as a suitable formalism to model time-critical systems. Furthermore, contemporary model-checking tools allow the designer to check whether a TA complies with a system specification. However, the…

Logic in Computer Science · Computer Science 2023-06-22 Jaroslav Bendík , Ahmet Sencan , Ebru Aydin Gol , Ivana Černá

Motivated by collaborative reinforcement learning (RL) and optimization with time-correlated data, we study a generic federated stochastic approximation problem involving $M$ agents, where each agent is characterized by an agent-specific…

Machine Learning · Computer Science 2025-04-17 Feng Zhu , Aritra Mitra , Robert W. Heath

This paper focuses on optimizing probabilities of events of interest defined over general controlled discrete-time Markov processes. It is shown that the optimization over a wide class of $\omega$-regular properties can be reduced to the…

Probability · Mathematics 2014-07-22 Ilya Tkachev , Alexandru Mereacre , Joost-Pieter Katoen , Alessandro Abate

We propose a new abstract formalism for probabilistic timed systems, Parametric Interval Probabilistic Timed Automata, based on an extension of Parametric Timed Automata and Interval Markov Chains. In this context, we consider the…

Formal Languages and Automata Theory · Computer Science 2019-06-13 Étienne André , Benoît Delahaye , Paulin Fournier

Motivated by applications in risk-sensitive reinforcement learning, we study mean-variance optimization in a discounted reward Markov Decision Process (MDP). Specifically, we analyze a Temporal Difference (TD) learning algorithm with linear…

Machine Learning · Computer Science 2025-03-13 Tejaram Sangadi , L. A. Prashanth , Krishna Jagannathan

We present a novel deep learning method for estimating time-dependent parameters in Markov processes through discrete sampling. Departing from conventional machine learning, our approach reframes parameter approximation as an optimization…

Fluid models are a popular formalism in the quantitative modeling of biochemical systems and analytical performance models. The main idea is to approximate a large-scale Markov chain by a compact set of ordinary differential equations…

Systems and Control · Computer Science 2019-05-02 Max Tschaikowski

Timed Automata (TA) is de facto a standard modelling formalism to represent systems when the interest is the analysis of their behaviour as time progresses. This modelling formalism is mostly used for checking whether the behaviours of a…

Logic in Computer Science · Computer Science 2019-09-11 Claudio Menghi , Marcello Bersani , Matteo Rossi , Pierluigi San Pietro

We investigate the interior turnpike phenomenon for discrete-time multi-agent optimal control problems. While for continuous systems the turnpike property has been established, we focus here on first-order discretizations of such systems.…

Optimization and Control · Mathematics 2024-04-12 Martin Gugat , Michael Herty , Jiehong Liu , Chiara Segala

In this paper, a distributed velocity-constrained consensus problem is studied for discrete-time multi-agent systems, where each agent's velocity is constrained to lie in a nonconvex set. A distributed constrained control algorithm is…

Optimization and Control · Mathematics 2020-03-05 Peng Lin , Wei Ren , Huijun Gao