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We determine the distributions of lengths of runs in random sequences of elements from a totally ordered set (total order) or partially ordered set (partial order). In particular, we produce novel formulae for the expected value, variance,…

Probability · Mathematics 2025-08-15 Tanner Reese

Due to limited resources and fast economic growth, designing optimal transportation road networks with traffic simulation and validation in a cost-effective manner is vital for developing countries, where extensive manual testing is…

Artificial Intelligence · Computer Science 2023-10-06 Zarif Ikram , Ling Pan , Dianbo Liu

The study of network representations of physical, biological, and social phenomena can help us better understand the structural and functional dynamics of their networks and formulate predictive models of these phenomena. However, due to…

Social and Information Networks · Computer Science 2019-05-14 Varsha Chauhan , Alexander Gutfraind , Ilya Safro

The imputation of missing data is a common procedure in data analysis that consists in predicting missing values of incomplete data points. In this work we analyse a variational quantum circuit for the imputation of missing data. We…

Quantum Physics · Physics 2024-05-08 Claudio Sanavio , Simone Tibaldi , Edoardo Tignone , Elisa Ercolessi

We investigate the problem of common randomness (CR) generation in the basic two-party communication setting in which a sender and a receiver aim to agree on a common random variable with high probability. The terminals observe independent…

Information Theory · Computer Science 2024-05-06 Wafa Labidi , Rami Ezzine , Moritz Wiese , Christian Deppe , Holger Boche

We propose a random walks based model to generate complex networks. Many authors studied and developed different methods and tools to analyze complex networks by random walk processes. Just to cite a few, random walks have been adopted to…

Physics and Society · Physics 2015-06-19 Marco Alberto Javarone

Significant efforts are being spent on building a quantum computer. At the same time, developments in quantum software are rapidly progressing. Insufficient quantum resources often are the problem when running quantum algorithms. New…

Quantum Physics · Physics 2025-10-06 Niels M. P. Neumann , Carlos M. R. Rocha , Jasper Verbree , Marc van Vliet

One of the striking properties of quantum mechanics is the occurrence of the Bell-type non-locality. They are a fundamental feature of the theory that allows two parties that share an entangled quantum system to observe correlations…

Fast secure random number generation is essential for high-speed encrypted communication, and is the backbone of information security. Generation of truly random numbers depends on the intrinsic randomness of the process used and is usually…

Quantum Physics · Physics 2019-05-15 Ben Haylock , Daniel Peace , Francesco Lenzini , Christian Weedbrook , Mirko Lobino

Autonomous uncrewed aerial vehicles (UAVs) can be utilized as aerial relays to serve users far from terrestrial infrastructure. Unfortunately, existing algorithms for aerial relay path planning cannot accommodate general flight constraints…

Optimization and Control · Mathematics 2026-02-05 Pham Q. Viet , Daniel Romero

Generated networks are widely used in network-based research as a convenient simulation environment. Generating universal networks that more accurately reflect real-world patterns is a cornerstone task. This study proposes a vari-linear…

Physics and Society · Physics 2026-04-27 Jinhu Ren , Linyuan Lü

Stochastic processes can model many emerging phenomena on networks, like the spread of computer viruses, rumors, or infectious diseases. Understanding the dynamics of such stochastic spreading processes is therefore of fundamental interest.…

Social and Information Networks · Computer Science 2019-01-07 Gerrit Großmann , Verena Wolf

In wireless networks, the knowledge of nodal distances is essential for several areas such as system configuration, performance analysis and protocol design. In order to evaluate distance distributions in random networks, the underlying…

Information Theory · Computer Science 2012-01-24 Sunil Srinivasa , Martin Haenggi

The validation of any database mining methodology goes through an evaluation process where benchmarks availability is essential. In this paper, we aim to randomly generate relational database benchmarks that allow to check probabilistic…

Machine Learning · Computer Science 2016-03-03 Mouna Ben Ishak , Rajani Chulyadyo , Philippe Leray

We experimentally demonstrate an all-optical random number generator based on spontaneous symmetry breaking in a coherently-driven Kerr resonator. Random bit sequences are generated by repeatedly tuning a control parameter across a…

We attempt to better understand randomization in local distributed graph algorithms by exploring how randomness is used and what we can gain from it: - We first ask the question of how much randomness is needed to obtain efficient…

Data Structures and Algorithms · Computer Science 2019-06-04 Mohsen Ghaffari , Fabian Kuhn

In this work, we study how to ensure probabilistic safety for nonlinear systems under distributional ambiguity. Our approach builds on a backup-based safety filtering framework that switches between a high-performance nominal policy and a…

Robotics · Computer Science 2026-05-20 Daniel M. Cherenson , Haejoon Lee , Taekyung Kim , Dimitra Panagou

We investigate the properties of multidimensional probability distributions in the context of latent space prior distributions of implicit generative models. Our work revolves around the phenomena arising while decoding linear…

Machine Learning · Computer Science 2018-06-06 Damian Leśniak , Igor Sieradzki , Igor Podolak

We consider the use of a single qutrit for random generation. This is possible because single qutrits exhibit contextuality features. We aim to optimize the entropy of the generated sequence. To do this, we do not rely on the KCBS…

Quantum Physics · Physics 2020-02-19 François ARNAULT , Don ANOMAN

Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some space. Studying such networks is difficult because they…

Probability · Mathematics 2022-07-19 Ivan Kryven , Rik Versendaal