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We consider the problem of expected cost analysis over nondeterministic probabilistic programs, which aims at automated methods for analyzing the resource-usage of such programs. Previous approaches for this problem could only handle…

Programming Languages · Computer Science 2019-03-26 Peixin Wang , Hongfei Fu , Amir Kafshdar Goharshady , Krishnendu Chatterjee , Xudong Qin , Wenjun Shi

The framework of uncoupled online learning in multiplayer games has made significant progress in recent years. In particular, the development of time-varying games has considerably expanded its modeling capabilities. However, current regret…

Computer Science and Game Theory · Computer Science 2025-08-18 Aymeric Capitaine , Etienne Boursier , Eric Moulines , Michael I. Jordan , Alain Durmus

This paper studies the distributed scheduling of traffic flows with arbitrary deadlines that arrive at their source nodes and are transmitted to different destination nodes via multiple intermediate nodes in a wireless mesh network. When a…

Networking and Internet Architecture · Computer Science 2024-07-16 Xin Wang , Xudong Wang

We consider the problem of maximizing the expected average reward obtained over an infinite time horizon by $n$ weakly coupled Markov decision processes. Our setup is a substantial generalization of the multi-armed restless bandit problem…

Optimization and Control · Mathematics 2026-04-01 Diego Goldsztajn , Konstantin Avrachenkov

Markov decision processes are useful models of concurrency optimisation problems, but are often intractable for exhaustive verification methods. Recent work has introduced lightweight approximative techniques that sample directly from…

Logic in Computer Science · Computer Science 2015-03-24 Axel Legay , Sean Sedwards , Louis-Marie Traonouez

Random walks can be used to search complex networks for a desired resource. To reduce search lengths, we propose a mechanism based on building random walks connecting together partial walks (PW) previously computed at each network node.…

Networking and Internet Architecture · Computer Science 2013-04-19 Víctor M. López Millán , Vicent Cholvi , Luis López , Antonio Fernández Anta

We study the problem of learning Markov decision processes with finite state and action spaces when the transition probability distributions and loss functions are chosen adversarially and are allowed to change with time. We introduce an…

Machine Learning · Computer Science 2013-03-14 Yasin Abbasi-Yadkori , Peter L. Bartlett , Csaba Szepesvari

The paper addresses the problem of computing maximal conditional expected accumulated rewards until reaching a target state (briefly called maximal conditional expectations) in finite-state Markov decision processes where the condition is…

Logic in Computer Science · Computer Science 2023-03-07 Christel Baier , Joachim Klein , Sascha Klüppelholz , Sascha Wunderlich

Standard Markov decision process (MDP) and reinforcement learning algorithms optimize the policy with respect to the expected gain. We propose an algorithm which enables to optimize an alternative objective: the probability that the gain is…

Machine Learning · Computer Science 2023-03-06 Vincent Corlay , Jean-Christophe Sibel

We propose a novel constrained reinforcement learning method for finding optimal policies in Markov Decision Processes while satisfying temporal logic constraints with a desired probability throughout the learning process. An…

Robotics · Computer Science 2021-09-07 Derya Aksaray , Yasin Yazicioglu , Ahmet Semi Asarkaya

A long-standing open problem in algorithmic game theory asks whether or not there is a polynomial time algorithm to compute a Nash equilibrium in a random bimatrix game. We study random win-lose games, where the entries of the $n\times n$…

Computer Science and Game Theory · Computer Science 2025-10-16 Andrea Collevecchio , Gabor Lugosi , Adrian Vetta , Rui-Ray Zhang

We consider a discrete-time Markov decision process with Borel state and action spaces. The performance criterion is to maximize a total expected {utility determined by unbounded return function. It is shown the existence of optimal…

Probability · Mathematics 2018-10-08 François Dufour , Alexandre Genadot

Recently regular decision processes have been proposed as a well-behaved form of non-Markov decision process. Regular decision processes are characterised by a transition function and a reward function that depend on the whole history,…

Artificial Intelligence · Computer Science 2022-05-19 Alessandro Ronca , Giuseppe De Giacomo

This paper presents a new static analysis for deriving upper bounds on the expected resource consumption of probabilistic programs. The analysis is fully automatic and derives symbolic bounds that are multivariate polynomials of the inputs.…

Programming Languages · Computer Science 2017-11-27 Van Chan Ngo , Quentin Carbonneaux , Jan Hoffmann

This paper considers an opportunistic scheduling problem over a renewal system. A controller observes a random event at the beginning of each renewal frame and then chooses an action in response to the event, which affects the duration of…

Optimization and Control · Mathematics 2019-06-10 Xiaohan Wei , Michael J. Neely

Recommender systems are important to help users select relevant and personalised information over massive amounts of data available. We propose an unified framework called Preference Network (PN) that jointly models various types of domain…

Information Retrieval · Computer Science 2014-07-23 Tran The Truyen , Dinh Q. Phung , Svetha Venkatesh

Probabilistic model checking mainly concentrates on techniques for reasoning about the probabilities of certain path properties or expected values of certain random variables. For the quantitative system analysis, however, there is also…

Logic in Computer Science · Computer Science 2013-01-11 Michael Ummels , Christel Baier

Probabilistic Boolean Networks (PBNs) have been previously proposed so as to gain insights into complex dy- namical systems. However, identification of large networks and of the underlying discrete Markov Chain which describes their…

Machine Learning · Computer Science 2018-01-24 Ifigeneia Apostolopoulou , Diana Marculescu

Markov decision processes (MDPs) with rewards are a widespread and well-studied model for systems that make both probabilistic and nondeterministic choices. A fundamental result about MDPs is that their minimal and maximal expected rewards…

Logic in Computer Science · Computer Science 2024-11-26 Kevin Batz , Benjamin Lucien Kaminski , Christoph Matheja , Tobias Winkler

We consider a problem wherein jobs arrive at random times and assume random values. Upon each job arrival, the decision-maker must decide immediately whether or not to accept the job and gain the value on offer as a reward, with the…

Artificial Intelligence · Computer Science 2022-02-03 Danial Dervovic , Parisa Hassanzadeh , Samuel Assefa , Prashant Reddy