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Entanglement is a key quantum phenomena and understanding transitions between phases of matter with different entanglement properties are an interesting probe of quantum mechanics. We numerically study a model of a 2D tensor network…

Statistical Mechanics · Physics 2021-08-06 Ryan Levy , Bryan K. Clark

Synchronized oscillations are of critical functional importance in many biological systems. We show that such oscillations can arise without centralized coordination in a disordered system of electrically coupled excitable and passive…

Adaptation and Self-Organizing Systems · Physics 2015-06-03 Rajeev Singh , Jinshan Xu , Nicolas Garnier , Alain Pumir , Sitabhra Sinha

A recently introduced model of coupled non linear oscillators in a ring is revisited in terms of its information processing capabilities. The use of Lempel-Ziv based entropic measures allows to study thoroughly the complex patterns…

Chaotic Dynamics · Physics 2018-03-20 E. Estevez-Rams , D. Estevez-Moya , B. Aragon Fernandez

Optimal transport (OT) is a widely used technique for distribution alignment, with applications throughout the machine learning, graphics, and vision communities. Without any additional structural assumptions on trans-port, however, OT can…

Machine Learning · Computer Science 2021-07-20 Chi-Heng Lin , Mehdi Azabou , Eva L. Dyer

In this paper, we propose an ETA model (Estimated Time of Arrival) that leverages an attention mechanism over historical road speed patterns. As autonomous driving and intelligent transportation systems become increasingly prevalent, the…

Machine Learning · Computer Science 2026-01-21 ByeoungDo Kim , JunYeop Na , Kyungwook Tak , JunTae Kim , DongHyeon Kim , Duckky Kim

We derive the asymptotic distribution of ordinal-pattern frequencies under weak dependence conditions and investigate the long-run covariance matrix not only analytically for moving-average, Gaussian, and the novel generalized coin-tossing…

Statistics Theory · Mathematics 2025-07-24 Angelika Silbernagel , Christian Weiß

We propose a method for computing the transfer entropy between time series using Ulam's approximation of the Perron-Frobenius (transfer) operator associated with the map generating the dynamics. Our method differs from standard transfer…

Chaotic Dynamics · Physics 2019-04-24 David Diego , Kristian Agasøster Haaga , Bjarte Hannisdal

A key challenge in systems biology is the elucidation of the underlying principles, or fundamental laws, which determine the cellular phenotype. Understanding how these fundamental principles are altered in diseases like cancer is important…

Molecular Networks · Quantitative Biology 2014-08-06 Andrew Teschendorff , Peter Sollich , Reimer Kuehn

In this paper, we investigate temporal clusters of extremes defined as subsequent exceedances of high thresholds in a stationary time series. Two meaningful features of these clusters are the probability distribution of the cluster size and…

Statistics Theory · Mathematics 2020-04-08 Marco Oesting , Alexander Schnurr

We propose a new class of parameterizations for spatio-temporal point processes which leverage Neural ODEs as a computational method and enable flexible, high-fidelity models of discrete events that are localized in continuous time and…

Machine Learning · Computer Science 2021-03-19 Ricky T. Q. Chen , Brandon Amos , Maximilian Nickel

In a telecommunications network, fault alarms generated by network nodes are monitored in a Network Operations Centre (NOC) to ensure network availability and continuous network operations. The monitoring process comprises of tasks such as…

Machine Learning · Computer Science 2025-08-14 Sathiyanaryanan Sampath , Pratyush Uppuluri , Thirumaran Ekambaram

Identification of causal structures and quantification of direct information flows in complex systems is a challenging yet important task, with practical applications in many fields. Data generated by dynamical processes or large-scale…

Data Analysis, Statistics and Probability · Physics 2015-08-06 Carlo Cafaro , Warren M. Lord , Jie Sun , Erik M. Bollt

Concepts from the Ergodic Theory are used to describe the existence of non-transitive maps in attractors of phase synchronous chaotic systems. It is shown that for a class of phase-coherent systems, e.g. the sinusoidally forced Chua's…

Classical Physics · Physics 2015-06-26 M. S. Baptista , T. Pereira , I. L. Caldas , J. C. Sartorelli

A new optimized extreme learning machine- (ELM-) based method for power system transient stability prediction (TSP) using synchrophasors is presented in this paper. First, the input features symbolizing the transient stability of power…

Neural and Evolutionary Computing · Computer Science 2018-10-23 Yanjun Zhang , Tie Li , Guangyu Na , Guoqing Li , Yang Li

Ordered and disordered behavior in large ensembles of coupled oscillators map to different functional states in a wide range of applications, e.g., active and resting states in the brain and stable and unstable power grid configurations.…

Adaptation and Self-Organizing Systems · Physics 2022-11-02 Can Xu , Xuan Wang , Per Sebastian Skardal

Fast scrambling, quantified by the exponential initial growth of Out-of-Time-Ordered-Correlators (OTOCs), is the ability to efficiently spread quantum correlations among the degrees of freedom of interacting systems, and constitutes a…

Quantum Physics · Physics 2023-05-04 Felix Meier , Mathias Steinhuber , Juan Diego Urbina , Daniel Waltner , Thomas Guhr

The synchronization behavior of networked chaotic oscillators with periodic coupling is investigated. It is observed in simulations that the network synchronizability could be significantly influenced by tuning the coupling frequency, even…

Chaotic Dynamics · Physics 2018-07-18 Sansan Li , Na Sun , Li Chen , Xingang Wang

Coupled oscillator networks often display transitions between qualitatively different phase-locked solutions -- such as synchrony and rotating wave solutions -- following perturbation or parameter variation. In the limit of weak coupling,…

Dynamical Systems · Mathematics 2025-10-10 Jorge L. Ocampo-Espindola , István Z. Kiss , Christian Bick , Kyle C. A. Wedgwood

This paper develops a novel spatiotemporal model for large-scale IoT networks with asynchronous periodic traffic and hard-packet deadlines. A static marked Poisson bipolar point process is utilized to model the spatial locations of the IoT…

Information Theory · Computer Science 2020-06-11 Hesham ElSawy

Fast scrambling of quantum correlations, reflected by the exponential growth of Out-of-Time-Order Correlators (OTOCs) on short pre-Ehrenfest time scales, is commonly considered as a major quantum signature of unstable dynamics in quantum…

Quantum Physics · Physics 2023-08-22 Mathias Steinhuber , Peter Schlagheck , Juan-Diego Urbina , Klaus Richter