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In this paper, we study geometric features of orientation-preserving random dynamical systems on the circle driven by memoryless noise that exhibit stable synchronisation: we consider crack points, invariant measures, and the link between…

Dynamical Systems · Mathematics 2017-08-15 Julian Newman

Indexes are useful for summarizing multivariate information into single metrics for monitoring, communicating, and decision-making. While most work has focused on defining new indexes for specific purposes, more attention needs to be…

Computation · Statistics 2026-02-24 H. Sherry Zhang , Dianne Cook , Ursula Laa , Nicolas Langrené , Patricia Menéndez

In this paper, we postulate that combining the domains of information visualization and music studies paves the ground for a more structured analysis of the design space of music notation, enabling the creation of alternative music…

Information Retrieval · Computer Science 2018-10-26 Matthias Miller , Johannes Häußler , Matthias Kraus , Daniel Keim , Mennatallah El-Assady

Different measures of heart rate variability and particularly of respiratory sinus arrhythmia are widely used in research and clinical applications. Inspired by the ideas from the theory of coupled oscillators, we use simultaneous…

Analyzing sequential data is crucial in many domains, particularly due to the abundance of data collected from the Internet of Things paradigm. Time series classification, the task of categorizing sequential data, has gained prominence,…

Machine Learning · Computer Science 2024-06-21 Venkata Ragavendra Vavilthota , Ranjith Ramanathan , Sathyanarayanan N. Aakur

We introduce Ordinal Synchronization ($OS$) as a new measure to quantify synchronization between dynamical systems. $OS$ is calculated from the extraction of the ordinal patterns related to two time series, their transformation into…

Quantitative Methods · Quantitative Biology 2019-01-30 Ignacio Echegoyen , Victor Vera-Ávila , Ricardo Sevilla-Escoboza , Johann H. Martínez , Javier M. Buldú

To quantify the fundamental evolution of time-varying networks, and detect abnormal behavior, one needs a notion of temporal difference that captures significant organizational changes between two successive instants. In this work, we…

Social and Information Networks · Computer Science 2017-08-17 Nathan D Monnig , Francois G Meyer

Extracting a proper dynamic network for modelling a time-dependent complex system is an important issue. Building a correct model is related to finding out critical time points where a system exhibits considerable change. In this work, we…

Social and Information Networks · Computer Science 2022-06-28 Günce Keziban Orman , Nadir Türe , Selim Balcisoy , Hasan Alp Boz

In exploring the simulation of human rhythmic perception and synchronization capabilities, this study introduces a computational model inspired by the physical and biological processes underlying rhythm processing. Utilizing a reservoir…

Neurons and Cognition · Quantitative Biology 2025-03-28 Zhongju Yuan , Wannes Van Ransbeeck , Geraint Wiggins , Dick Botteldooren

Heart rate variability (HRV) series reflects the dynamical variation of heartbeat-to-heartbeat intervals in time and is one of the outputs of the cardiovascular system. Over the years, this system has been recognized for generating…

Signal Processing · Electrical Eng. & Systems 2024-04-18 M. Bianco , A. Scarciglia , C. Bonanno , G. Valenza

In this article indicators to describe the "beauty" of noises are proposed. Rhythmic, tonal and harmonic suavity are introduced. They give a characterization of a noise in terms of rhythmic regularity (rhythmic suavity), of auditory…

Classical Physics · Physics 2012-08-06 Vincent Manet

The uncertainty or the variability of the data may be treated by considering, rather than a single value for each data, the interval of values in which it may fall. This paper studies the derivation of basic description statistics for…

Computation · Statistics 2008-12-18 Marie Chavent , Jérôme Saracco

To train a machine learning model is necessary to take numerous decisions about many options for each process involved, in the field of sequence generation and more specifically of music composition, the nature of the problem helps to…

Sound · Computer Science 2021-01-20 Sebastian Garcia-Valencia , Alejandro Betancourt , Juan G. Lalinde-Pulido

This paper introduces HarmonySet, a comprehensive dataset designed to advance video-music understanding. HarmonySet consists of 48,328 diverse video-music pairs, annotated with detailed information on rhythmic synchronization, emotional…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Zitang Zhou , Ke Mei , Yu Lu , Tianyi Wang , Fengyun Rao

With recent advances in sensing and tracking technology, trajectory data is becoming increasingly pervasive and analysis of trajectory data is becoming exceedingly important. A fundamental problem in analyzing trajectory data is that of…

Computational Geometry · Computer Science 2013-03-08 Swaminathan Sankararaman , Pankaj K. Agarwal , Thomas Mølhave , Arnold P. Boedihardjo

Dimensionality reduction is a crucial technique in data analysis, as it allows for the efficient visualization and understanding of high-dimensional datasets. The circular coordinate is one of the topological data analysis techniques…

Algebraic Topology · Mathematics 2023-01-31 Taejin Paik , Jaemin Park

Time series measured from real-world systems are generally noisy, complex and display statistical properties that evolve continuously over time. Here, we present a method that combines wavelet analysis and non-stationary surrogates to…

Data Analysis, Statistics and Probability · Physics 2018-04-12 Mario Chavez , Bernard Cazelles

To learn and reason in the presence of uncertainty, the brain must be capable of imposing some form of regularization. Here we suggest, through theoretical and computational arguments, that the combination of noise with synchronization…

Neurons and Cognition · Quantitative Biology 2013-12-06 Jake Bouvrie , Jean-Jacques Slotine

Effective analysis in neuroscience benefits significantly from robust conceptual frameworks. Traditional metrics of interbrain synchrony in social neuroscience typically depend on fixed, correlation-based approaches, restricting their…

Neurons and Cognition · Quantitative Biology 2025-12-01 Nicolás Hinrichs , Noah Guzmán , Melanie Weber

Irregular temporal data, characterized by varying recording frequencies, differing observation durations, and missing values, presents significant challenges across fields like mobility, healthcare, and environmental science. Existing…

Machine Learning · Computer Science 2026-01-28 Francesco Spinnato , Cristiano Landi