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Analysis of Markov Decision Processes (MDP) is often hindered by state space explosion. Abstraction is a well-established technique in model checking to mitigate this issue. This paper presents a novel lazy abstraction method for MDP…

Logic in Computer Science · Computer Science 2024-06-04 Dániel Szekeres , Kristóf Marussy , István Majzik

Relationship between agents can be conveniently represented by graphs. When these relationships have different modalities, they are better modelled by multilayer graphs where each layer is associated with one modality. Such graphs arise…

Machine Learning · Statistics 2021-03-05 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

In this paper, a simulation-based method for the analysis and design of abstracted models for a stochastic hybrid system is proposed. The accuracy of a model is evaluated in terms of its capability to reproduce the system output for all the…

Systems and Control · Computer Science 2014-05-29 M. Prandini , S. Garatti , R. Vignali

Finite-state abstractions are widely studied for the automated synthesis of correct-by-construction controllers for stochastic dynamical systems. However, existing abstraction methods often lead to prohibitively large finite-state models.…

Systems and Control · Electrical Eng. & Systems 2024-04-03 Thom Badings , Licio Romao , Alessandro Abate , Nils Jansen

Time-varying networks are fast emerging in a wide range of scientific and business disciplines. Most existing dynamic network models are limited to a single-subject and discrete-time setting. In this article, we propose a mixed-effect…

Methodology · Statistics 2018-06-12 Jingfei Zhang , Will Wei Sun , Lexin Li

Designing controllers to satisfy temporal requirements has proven to be challenging for dynamical systems that are affected by uncertainty. This is mainly due to the states evolving in a continuous uncountable space, the stochastic…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Birgit C. van Huijgevoort , Ruohan Wang , Sadegh Soudjani , Sofie Haesaert

Like with most large-scale systems, the evaluation of quantitative properties of collective adaptive systems is an important issue that crosscuts all its development stages, from design (in the case of engineered systems) to runtime…

Systems and Control · Computer Science 2016-07-12 Mirco Tribastone

The goal of this report is to define abstractions for multi-agent systems with feedback interconnection in their dynamics. In the proposed decentralized framework, we specify a finite or countable transition system for each agent which only…

Systems and Control · Computer Science 2016-08-24 Dimitris Boskos , Dimos V. Dimarogonas

The problem of reliability of a large distributed system is analyzed via a new mathematical model. A typical framework is a system where a set of files are duplicated on several data servers. When one of these servers breaks down, all…

Probability · Mathematics 2017-06-05 Reza Aghajani , Philippe Robert , Wen Sun

Connectivity and capacity are two fundamental properties of wireless multi-hop networks. The scalability of these properties has been a primary concern for which asymptotic analysis is a useful tool. Three related but logically distinct…

Networking and Internet Architecture · Computer Science 2011-06-23 Guoqiang Mao , Brian DO Anderson

Model checking of multi-agent systems (MAS) is known to be hard, both theoretically and in practice. A smart abstraction of the state space may significantly reduce the model, and facilitate the verification. In this paper, we propose and…

Multiagent Systems · Computer Science 2023-10-19 Wojciech Jamroga , Yan Kim

Recently, evolving networks are becoming a suitable form to model many real-world complex systems, due to their peculiarities to represent the systems and their constituting entities, the interactions between the entities and the…

Artificial Intelligence · Computer Science 2017-09-21 Angelo Impedovo , Corrado Loglisci , Michelangelo Ceci

Mechanistic interpretability aims to reverse engineer neural networks by uncovering which high-level algorithms they implement. Causal abstraction provides a precise notion of when a network implements an algorithm, i.e., a causal model of…

Machine Learning · Computer Science 2025-03-17 Theodora-Mara Pîslar , Sara Magliacane , Atticus Geiger

Flows over time generalize classical network flows by introducing a notion of time. Each arc is equipped with a transit time that specifies how long flow takes to traverse it, while flow rates may vary over time within the given edge…

Discrete Mathematics · Computer Science 2012-11-13 Jan-Philipp W. Kappmeier , Jannik Matuschke , Britta Peis

Brain networks exhibit complications such as noise, neuron failures, and partial synaptic connectivity. These can make it difficult to model and analyze their behavior. This paper describes a way to address this difficulty, namely, breaking…

Data Structures and Algorithms · Computer Science 2025-03-25 Nancy Lynch

We present in this paper a generic framework for the analysis of multi-threaded programs with recursive procedure calls, synchronisation by rendez-vous between parallel threads, and dynamic creation of new threads. To this end, we consider…

Formal Languages and Automata Theory · Computer Science 2019-07-08 Adrien Pommellet , Tayssir Touili

Despite their widespread utility across domains, basic network models face fundamental limitations when applied to complex biological systems, particularly in neuroscience. This paper critically examines these limitations and explores…

Other Quantitative Biology · Quantitative Biology 2024-11-07 Luiz Pessoa

Compared to traditional neural networks with a single output channel, a multi-exit network has multiple exits that allow for early outputs from the model's intermediate layers, thus significantly improving computational efficiency while…

Cryptography and Security · Computer Science 2025-03-18 Li Pan , Lv Peizhuo , Chen Kai , Zhang Shengzhi , Cai Yuling , Xiang Fan

Multistate dynamical processes on networks, where nodes can occupy one of a multitude of discrete states, are gaining widespread use because of their ability to recreate realistic, complex behaviour that cannot be adequately captured by…

Physics and Society · Physics 2017-09-29 Peter G. Fennell , James P. Gleeson

Finite-state abstractions (a.k.a. symbolic models) present a promising avenue for the formal verification and synthesis of controllers in continuous-space control systems. These abstractions provide simplified models that capture the…

Systems and Control · Electrical Eng. & Systems 2025-02-25 Daniel Ajeleye , Majid Zamani