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Rotating spiral waves organize spatial patterns in chemical, physical and biological excitable systems. Factors affecting their dynamics such as spatiotemporal drift are of great interest for par- ticular applications. Here, we propose a…

Mathematical Physics · Physics 2014-08-20 Hans Dierckx , Evelien Brisard , Henri Verschelde , Alexander Panfilov

We investigate the problem of estimating geodesic tortuosity and constrictivity as two structural characteristics of stationary random closed sets. They are of central importance for the analysis of effective transport properties in porous…

Statistics Theory · Mathematics 2018-12-06 Matthias Neumann , Christian Hirsch , Jakub Staněk , Viktor Beneš , Volker Schmidt

The redshift drift (also known as the Sandage Test) is a model-independent probe of fundamental cosmology, enabling us to watch the universe expand in real time, and thereby to confirm (or not) the recent acceleration of the universe…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-26 C. J. A. P. Martins , C. S. Alves , J. Esteves , A. Lapel , B. G. Pereira

Clustering techniques offer a powerful framework for analyzing complex flow dynamics and reducing computational costs in large-scale simulations. In this work, we propose a novel clustering-based approach using Vector Quantization Principal…

We present a new cycle flow based method for finding fuzzy partitions of weighted directed networks coming from time series data. We show that this method overcomes essential problems of most existing clustering approaches, which tend to…

Data Analysis, Statistics and Probability · Physics 2017-01-20 Ralf Banisch , Nataša Djurdjevac Conrad

Scientists aim to extract simplicity from observations of the complex world. An important component of this process is the exploration of data in search of trends. In practice, however, this tends to be more of an art than a science. Among…

Machine Learning · Computer Science 2021-08-11 Dalya Baron , Brice Ménard

The increasing availability of complex survey data, and the continued need for estimates of demographic and health indicators at a fine spatial and temporal scale, which leads to issues of data sparsity, has led to the need for…

The increasing availability of traffic data from sensor networks has created new opportunities for understanding vehicular dynamics and identifying anomalies. In this study, we employ clustering techniques to analyse traffic flow data with…

Machine Learning · Computer Science 2025-09-26 Davide Moretti , Elia Onofri , Emiliano Cristiani

For recursive circular filtering based on circular statistics, we introduce a general framework for estimation of a circular state based on different circular distributions, specifically the wrapped normal distribution and the von Mises…

Systems and Control · Computer Science 2018-01-01 Gerhard Kurz , Igor Gilitschenski , Uwe D. Hanebeck

This paper proposes a novel framework for the approximation and analysis of circular density data using compositional periodic splines within Bayes spaces with the Hilbert space structure. By applying the centered log-ratio transformation,…

Methodology · Statistics 2026-05-19 Jitka Machalová , Jana Heckenbergerová , Karel Hron

The increasing availability of highly resolved spatio-temporal data leads to new opportunities as well as challenges in many scientific disciplines such as climatology, ecology or epidemiology. This allows more detailed insights into the…

Data Analysis, Statistics and Probability · Physics 2024-01-22 Maik Riedl , Norbert Marwan , Jürgen Kurths

We investigate ocean circulation changes through the lens of data assimilation using a reduced-order model. Our primary interest lies in the Stommel box model which reveals itself to be one of the most practicable models that has the…

Dynamical Systems · Mathematics 2024-09-17 Nathaniel Smith , Anvaya Shiney-Ajay , Emmanuel Fleurantin , Ivo Pasmans

Recurrence is a fundamental property of dynamical systems, which can be exploited to characterise the system's behaviour in phase space. A powerful tool for their visualisation and analysis called recurrence plot was introduced in the late…

Chaotic Dynamics · Physics 2025-01-27 Norbert Marwan , Maria Carmen Romano , Marco Thiel , Jürgen Kurths

We present an analysis of the wind circulation in the vecinity of the ground surface, for a region centered around Guatemala. We used the regional climate model RegCM to simulate the atmospheric dynamics above that region during the full…

Atmospheric and Oceanic Physics · Physics 2019-01-18 Enrique Pazos

Dynamical systems with translational or rotational symmetry arise frequently in studies of spatially extended physical systems, such as Navier-Stokes flows on periodic domains. In these cases, it is natural to express the state of the fluid…

Chaotic Dynamics · Physics 2015-08-11 Nazmi Burak Budanur , Daniel Borrero-Echeverry , Predrag Cvitanović

Surface-based data is commonly observed in diverse practical applications spanning various fields. In this paper, we introduce a novel nonparametric method to discover the underlying signals from data distributed on complex surface-based…

Methodology · Statistics 2024-03-12 Zhiling Gu , Shan Yu , Guannan Wang , Ming-Jun Lai , Li Wang

We propose a novel method for building fuzzy clusters of large data sets, using a smoothing numerical approach. The usual sum-of-squares criterion is relaxed so the search for good fuzzy partitions is made on a continuous space, rather than…

Machine Learning · Statistics 2022-07-12 David Masis , Esteban Segura , Javier Trejos , Adilson Xavier

Photometric redshift estimation algorithms are often based on representative data from observational campaigns. Data-driven methods of this type are subject to a number of potential deficiencies, such as sample bias and incompleteness.…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-06 Nesar Ramachandra , Jonás Chaves-Montero , Alex Alarcon , Arindam Fadikar , Salman Habib , Katrin Heitmann

Designing traffic-smoothing cruise controllers that can be deployed onto autonomous vehicles is a key step towards improving traffic flow, reducing congestion, and enhancing fuel efficiency in mixed autonomy traffic. We bypass the common…

Systems and Control · Electrical Eng. & Systems 2024-01-19 Nathan Lichtlé , Kathy Jang , Adit Shah , Eugene Vinitsky , Jonathan W. Lee , Alexandre M. Bayen

Natural language and search interfaces intuitively facilitate data exploration and provide visualization responses to diverse analytical queries based on the underlying datasets. However, these interfaces often fail to interpret more…

Human-Computer Interaction · Computer Science 2024-02-20 Alexander Bendeck , Dennis Bromley , Vidya Setlur
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