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Continuous-time Markov chains are mathematical models that are used to describe the state-evolution of dynamical systems under stochastic uncertainty, and have found widespread applications in various fields. In order to make these models…

Probability · Mathematics 2017-06-22 Thomas Krak , Jasper De Bock , Arno Siebes

Motivated by the Internet-of-things and sensor networks for cyberphysical systems, the problem of dynamic sensor activation for the tracking of a time-varying process is examined. The tradeoff is between energy efficiency, which decreases…

Systems and Control · Computer Science 2017-11-30 Arpan Chattopadhyay , Urbashi Mitra

We present an algorithm for formal verification and parameter synthesis of continuous state-space Markov chains. This class of problems captures the design and analysis of a wide variety of autonomous and cyber-physical systems defined by…

Machine Learning · Computer Science 2020-12-04 Negin Musavi , Dawei Sun , Sayan Mitra , Geir Dullerud , Sanjay Shakkottai

Markov jump processes (or continuous-time Markov chains) are a simple and important class of continuous-time dynamical systems. In this paper, we tackle the problem of simulating from the posterior distribution over paths in these models,…

Computation · Statistics 2013-10-21 Vinayak Rao , Yee Whye Teh

Parametric Markov chains (pMC) are used to model probabilistic systems with unknown or partially known probabilities. Although (universal) pMC verification for reachability properties is known to be coETR-complete, there have been efforts…

Logic in Computer Science · Computer Science 2025-04-29 Kasper Engelen , Guillermo A. Pérez , Shrisha Rao

Distribution matching is a fixed-length invertible mapping from a uniformly distributed bit sequence to shaped amplitudes and plays an important role in the probabilistic amplitude shaping framework. With conventional constantcomposition…

Signal Processing · Electrical Eng. & Systems 2018-08-13 Tobias Fehenberger , David S. Millar , Toshiaki Koike-Akino , Keisuke Kojima , Kieran Parsons

In this paper we provide faster algorithms for approximately solving discounted Markov Decision Processes in multiple parameter regimes. Given a discounted Markov Decision Process (DMDP) with $|S|$ states, $|A|$ actions, discount factor…

Data Structures and Algorithms · Computer Science 2020-12-24 Aaron Sidford , Mengdi Wang , Xian Wu , Yinyu Ye

Communication costs, resulting from synchronization requirements during learning, can greatly slow down many parallel machine learning algorithms. In this paper, we present a parallel Markov chain Monte Carlo (MCMC) algorithm in which…

Machine Learning · Statistics 2014-03-24 Willie Neiswanger , Chong Wang , Eric Xing

The window mean-payoff objective strengthens the classical mean-payoff objective by computing the mean-payoff over a finite window that slides along an infinite path. Two variants have been considered: in one variant, the maximum window…

Computer Science and Game Theory · Computer Science 2025-01-10 Pranshu Gaba , Shibashis Guha

This paper studies the formation stabilization problem of asynchronous nonlinear multi-agent systems (MAS) subject to parametric uncertainties, external disturbances and bounded time-varying communication delays. A self-triggered min-max…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Henglai Wei , Kunwu Zhang , Yang Shi

In many operations management problems, we need to make decisions sequentially to minimize the cost while satisfying certain constraints. One modeling approach to study such problems is constrained Markov decision process (CMDP). When…

Optimization and Control · Mathematics 2021-01-27 Yi Chen , Jing Dong , Zhaoran Wang

We consider the problem of approximating the reachability probabilities in Markov decision processes (MDP) with uncountable (continuous) state and action spaces. While there are algorithms that, for special classes of such MDP, provide a…

Systems and Control · Electrical Eng. & Systems 2022-07-13 Kush Grover , Jan Křetínský , Tobias Meggendorfer , Maximilian Weininger

We introduce the Lyapunov approach to optimal control problems of average risk-sensitive Markov control processes with general risk maps. Motivated by applications in particular to behavioral economics, we consider possibly non-convex risk…

Optimization and Control · Mathematics 2015-07-23 Yun Shen , Klaus Obermayer , Wilhelm Stannat

We propose a sequential Markov chain Monte Carlo (SMCMC) algorithm to sample from a sequence of probability distributions, corresponding to posterior distributions at different times in on-line applications. SMCMC proceeds as in usual MCMC…

Statistics Theory · Mathematics 2013-08-20 Yun Yang , David B. Dunson

Markov chain Monte Carlo (MCMC) algorithms are indispensable when sampling from a complex, high-dimensional distribution by a conventional method is intractable. Even though MCMC is a powerful tool, it is also hard to control and tune in…

Graphics · Computer Science 2025-10-14 Sascha Holl , Gurprit Singh , Hans-Peter Seidel

New algorithms for computing of asymptotic expansions for stationary distributions of nonlinearly perturbed semi-Markov processes are presented. The algorithms are based on special techniques of sequential phase space reduction, which can…

Probability · Mathematics 2017-03-08 Dmitrii Silvestrov , Sergei Silvestrov

Factored Markov Decision Processes (fMDPs) are a class of Markov Decision Processes (MDPs) in which the states (and actions) can be factored into a set of state (and action) variables and can be encoded compactly using a factored…

Systems and Control · Electrical Eng. & Systems 2025-02-26 Jayanth Bhargav , Mahsa Ghasemi , Shreyas Sundaram

In this paper, we study quasi-stationary distributions of nonlinearly perturbed semi-Markov processes in discrete time. This type of distributions is of interest for the analysis of stochastic systems which have finite lifetimes, but are…

Probability · Mathematics 2016-04-28 Mikael Petersson

In this article we consider Bayesian estimation of static parameters for a class of partially observed McKean-Vlasov diffusion processes with discrete-time observations over a fixed time interval. This problem features several obstacles to…

Computation · Statistics 2025-04-23 Ajay Jasra , Amin Wu

We study Markov decision processes (MDPs) with multiple limit-average (or mean-payoff) functions. We consider two different objectives, namely, expectation and satisfaction objectives. Given an MDP with k limit-average functions, in the…

Computer Science and Game Theory · Computer Science 2015-07-01 Tomáš Brázdil , Václav Brožek , Krishnendu Chatterjee , Vojtěch Forejt , Antonín Kučera
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