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We present a methodology to characterize synchronization in time series based on symbolic representations. A symbol is linked to a sequence of numbers through the rank-order of its values. A representation of a time series results after…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Roberto Monetti , Wolfram Bunk , Ferdinand Jamitzky

'Big' high-dimensional data are commonly analyzed in low-dimensions, after performing a dimensionality-reduction step that inherently distorts the data structure. For the same purpose, clustering methods are also often used. These methods…

Machine Learning · Statistics 2019-02-20 Tom Lorimer , Karlis Kanders , Ruedi Stoop

Visual analysis of temporal networks comprises an effective way to understand the network dynamics, facilitating the identification of patterns, anomalies, and other network properties, thus resulting in fast decision making. The amount of…

Social and Information Networks · Computer Science 2021-04-26 Jean R. Ponciano , Claudio D. G. Linhares , Elaine R. Faria , Bruno A. N. Travencolo

Accelerated Magnetic Resonance Imaging (MRI) permits high quality images from fewer samples that can be collected with a faster scan. Two established methods for accelerating MRI include parallel imaging and compressed sensing. Two types of…

Image and Video Processing · Electrical Eng. & Systems 2025-08-22 Nicholas Dwork , Alex McManus , Stephen Becker , Gennifer T. Smith

This paper focuses on the nominal durations of musical events (notes and rests) in a symbolic musical score, and on how to conveniently handle these in computer applications. We propose the usage of a temporal unit that is directly related…

As periodic orbit theory works badly on computing the observable averages of dynamical systems with intermittency, we propose a scheme to cooperate with cycle expansion and perturbation theory so that we can deal with intermittent systems…

Chaotic Dynamics · Physics 2022-08-24 Huanyu Cao , Ang Gao , Haotian Zheng , Yueheng Lan

The network representation is becoming increasingly popular for the description of cardiovascular interactions based on the analysis of multiple simultaneously collected variables. However, the traditional methods to assess network links…

There has been an increasing focus in learning interpretable feature representations, particularly in applications such as medical image analysis that require explainability, whilst relying less on annotated data (since annotations can be…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Gabriele Valvano , Agisilaos Chartsias , Andrea Leo , Sotirios A. Tsaftaris

When inspecting information visualizations under time critical settings, such as emergency response or monitoring the heart rate in a surgery room, the user only has a small amount of time to view the visualization "at a glance". In these…

Human-Computer Interaction · Computer Science 2018-11-09 Gabriel Ryan , Abigail Mosca , Remco Chang , Eugene Wu

Circadian rhythm is the natural biological cycle manifested in human daily routines. A regular and stable rhythm is found to be correlated with good physical and mental health. With the wide adoption of mobile and wearable technology, many…

Human-Computer Interaction · Computer Science 2021-07-12 Congyu Wu , Megan McMahon , Hagen Fritz , David M. Schnyer

The synchronization of rhythms is ubiquitous in both natural and engineered systems, and the demand for data-driven analysis is growing. When rhythms arise from limit cycles, phase reduction theory shows that their dynamics are universally…

Chaotic Dynamics · Physics 2026-02-20 Haruma Furukawa , Takashi Imai , Toshio Aoyagi

Periodic and semi periodic patterns are very common in nature. In this paper we introduce a topological toolbox aiming in detecting and quantifying periodicity. The presented technique is of a general nature and may be employed wherever…

Algebraic Topology · Mathematics 2019-05-30 Paweł Dłotko , Wanling Qiu , Simon Rudkin

Dynamic networks represent the complex and evolving interrelationships between real-world entities. Given the scale and variability of these networks, finding an optimal slicing interval is essential for meaningful analysis. Nonuniform…

Human-Computer Interaction · Computer Science 2024-04-10 Seokweon Jung , DongHwa Shin , Hyeon Jeon , Jinwook Seo

The goal of video segmentation is to turn video data into a set of concrete motion clusters that can be easily interpreted as building blocks of the video. There are some works on similar topics like detecting scene cuts in a video, but…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Hajar Sadeghi Sokeh , Vasileios Argyriou , Dorothy Monekosso , Paolo Remagnino

The paper presents a construction of a quantitative measure of variability for parameter estimates in the data fitting problem under interval uncertainty. It shows the degree of variability and ambiguity of the estimate, and the need for…

Numerical Analysis · Mathematics 2020-03-12 Sergey P. Shary

In this work, we consider the problem of multi-pitch estimation, i.e., identifying super-imposed truncated harmonic series from noisy measurements. We phrase this as recovering a harmonically-structured measure on the unit circle, where the…

Signal Processing · Electrical Eng. & Systems 2025-08-05 Anton Björkman , Filip Elvander

Complexity science offers a wide range of measures for quantifying unpredictability, structure, and information. Yet, a systematic conceptual organization of these measures is still missing. We present a unified framework that locates…

Machine Learning · Computer Science 2025-05-13 Nima Dehghani

This work develops tools to understand how quantum information spreads, scrambles, and is reshaped by measurements in many-body systems. First, I study scrambling and pseudorandomness in the Brownian Sachdev-Ye-Kitaev (SYK) model,…

Quantum Physics · Physics 2025-12-12 Anastasiia Tiutiakina

Synchronization phenomena on networks have attracted much attention in studies of neural, social, economic, and biological systems, yet we still lack a systematic understanding of how relative synchronizability relates to underlying network…

Social and Information Networks · Computer Science 2023-09-08 Joseph T. Lizier , Frank Bauer , Fatihcan M. Atay , Jürgen Jost

Music comprises of a set of complex simultaneous events organized in time. In this paper we introduce a novel framework that we call Deep Musical Information Dynamics, which combines two parallel streams - a low rate latent representation…

Sound · Computer Science 2021-02-03 Shlomo Dubnov