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As shown in (http://dx.doi.org/10.1101/2020.03.22.998377), the usual update modes of Boolean networks (BNs), including synchronous and (generalized) asynchronous, fail to capture behaviors introduced by multivalued refinements. Thus, update…

Formal Languages and Automata Theory · Computer Science 2020-04-09 Thomas Chatain , Stefan Haar , Juraj Kol{č}ák , Loïc Paulevé

Reachability analysis, in general, is a fundamental method that supports formally-correct synthesis, robust model predictive control, set-based observers, fault detection, invariant computation, and conformance checking, to name but a few.…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Niklas Kochdumper , Bastian Schürmann , Matthias Althoff

It has been shown that uniform as well as non-uniform cellular automata (CA) can be evolved to perform certain computational tasks. Random Boolean networks are a generalization of two-state cellular automata, where the interconnection…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bertrand Mesot , Christof Teuscher

Verification plays an essential role in the formal analysis of safety-critical systems. Most current verification methods have specific requirements when working on Deep Neural Networks (DNNs). They either target one particular network…

Machine Learning · Computer Science 2023-04-04 Chi Zhang , Wenjie Ruan , Fu Wang , Peipei Xu , Geyong Min , Xiaowei Huang

Recently two search algorithms, A* and breadth-first branch and bound (BFBnB), were developed based on a simple admissible heuristic for learning Bayesian network structures that optimize a scoring function. The heuristic represents a…

Artificial Intelligence · Computer Science 2012-10-19 Changhe Yuan , Brandon Malone

While reachability analysis is one of the most promising approaches for formal verification of dynamic systems, a major disadvantage preventing a more widespread application is the requirement to manually tune algorithm parameters such as…

Logic in Computer Science · Computer Science 2024-04-09 Niklas Kochdumper , Stanley Bak

Random Access Channel (RACH) has been identified as one of the major bottlenecks for accommodating massive number of machine-to-machine (M2M) users in LTE networks, especially for the case of burst arrival of connection requests. As a…

Information Theory · Computer Science 2018-05-29 Mikhail Vilgelm , Sebastian Schiessl , Hussein Al-Zubaidy , Wolfgang Kellerer , James Gross

When autonomous vehicles encounter untrained scenarios, ensuring safety hinges on effective safety verification to prevent accidents stemming from unexpected model decisions. Reachability analysis, a method of safety verification, offers…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Lingxiang Fan , Linxuan He , Haoyuan Ji , Shuo Feng

We study the almost-sure reachability problem in a distributed system obtained as the asynchronous composition of N copies (called processes) of the same automaton (called protocol), that can communicate via a shared register with finite…

Logic in Computer Science · Computer Science 2016-05-06 Patricia Bouyer , Nicolas Markey , Mickael Randour , Arnaud Sangnier , Daniel Stan

Controllability is one of the central concepts of modern control theory that allows a good understanding of a system's behaviour. It consists in constraining a system to reach the desired state from an initial state within a given time…

Cellular Automata and Lattice Gases · Physics 2024-03-07 Sara Dridi , Samira El Yacoubi , Franco Bagnoli , Allyx Fontaine

Boolean network (BN) is a simple model widely used to study complex dynamic behaviour of biological systems. Nonetheless, it might be difficult to gather enough data to precisely capture the behavior of a biological system into a set of…

Molecular Networks · Quantitative Biology 2020-09-02 Lubos Brim , Samuel Pastva , David Safranek , Eva Smijakova

Forward reachability analysis is the predominant approach for verifying reach-avoid properties in neural feedback systems (dynamical systems controlled by neural networks). This dominance stems from the limited scalability of existing…

Artificial Intelligence · Computer Science 2026-01-14 Samuel I. Akinwande , Sydney M. Katz , Mykel J. Kochenderfer , Clark Barrett

Network reliability assessment is pivotal for ensuring the robustness of modern infrastructure systems, from power grids to communication networks. While exact reliability computation for binary-state networks is NP-hard, existing…

Machine Learning · Computer Science 2025-03-21 Wei-Chang Yeh

Heuristic search has traditionally relied on hand-crafted or programmatically derived heuristics. Neural networks (NNs) are newer powerful tools which can be used to learn complex mappings from states to cost-to-go heuristics. However,…

Artificial Intelligence · Computer Science 2022-08-17 Rishi Veerapaneni , Maxim Likhachev

Neural networks (NNs) have been shown to learn complex control laws successfully, often with performance advantages or decreased computational cost compared to alternative methods. Neural network controllers (NNCs) are, however, highly…

Systems and Control · Electrical Eng. & Systems 2023-09-08 Oliver Gates , Matthew Newton , Konstantinos Gatsis

We consider networks of finite-state machines having local transitions conditioned by the current state of other automata. In this paper, we depict a reduction procedure tailored for a given reachability property of the form ``from global…

Logic in Computer Science · Computer Science 2016-11-07 Loïc Paulevé

We present a new approach for designing risk-bounded controllers for Uncrewed Aerial Vehicles (UAVs). Existing frameworks for assessing risk of UAV operations rely on knowing the conditional probability of an incident occurring given…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Nicole Fronda , Hariharan Narayanan , Sadia Afrin Ananna , Steven Weber , Houssam Abbas

We propose a novel Branch-and-Bound method for reachability analysis of neural networks in both open-loop and closed-loop settings. Our idea is to first compute accurate bounds on the Lipschitz constant of the neural network in certain…

Systems and Control · Electrical Eng. & Systems 2023-04-20 Taha Entesari , Sina Sharifi , Mahyar Fazlyab

Markov decision processes model systems subject to nondeterministic and probabilistic uncertainty. A plethora of verification techniques addresses variations of reachability properties, such as: Is there a scheduler resolving the…

Logic in Computer Science · Computer Science 2025-05-26 Lina Gerlach , Tobias Winkler , Erika Ábrahám , Borzoo Bonakdarpour , Sebastian Junges

Tuning curves characterizing the response selectivities of biological neurons often exhibit large degrees of irregularity and diversity across neurons. Theoretical network models that feature heterogeneous cell populations or random…

Quantitative Methods · Quantitative Biology 2017-07-20 Takafumi Arakaki , G. Barello , Yashar Ahmadian