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Recurrence quantification analysis is a widely used method for characterizing patterns in time series. This article presents a comprehensive survey for conducting a wide range of recurrence-based analyses to quantify the dynamical structure…

Data Analysis, Statistics and Probability · Physics 2023-03-30 Moreno I. Coco , Dan Mønster , Giuseppe Leonardi , Rick Dale , Sebastian Wallot

PyRQA is a software package that efficiently conducts recurrence quantification analysis (RQA) on time series consisting of more than one million data points. RQA is a method from non-linear time series analysis that quantifies the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-03 Tobias Rawald , Mike Sips , Norbert Marwan

Writing and reading are dynamic processes. As an author composes a text, a sequence of words is produced. This sequence is one that, the author hopes, causes a revisitation of certain thoughts and ideas in others. These processes of…

Computation and Language · Computer Science 2018-03-21 Rick Dale , Nicholas D. Duran , Moreno Coco

In recent years, recurrent quantification analysis (RQA) and its multi-dimensional version (MdRQA) have emerged as a popular tool for assessing interpersonal behavioral or physiological synchrony in groups of two or more individuals. While…

Neurons and Cognition · Quantitative Biology 2023-08-16 Swarag Thaikkandi , K. M. Sharika

Test-time compute is central to large reasoning models, yet analysing their reasoning behaviour through generated text is increasingly impractical and unreliable. Response length is often used as a brute proxy for reasoning effort, but this…

Computation and Language · Computer Science 2026-02-09 Quoc Tuan Pham , Mehdi Jafari , Flora Salim

One challenge with the analysis of complex systems and the interaction between such systems is that they are composed of different numbers of components, or simply the fact that a different number of observables is available for each…

Data Analysis, Statistics and Probability · Physics 2025-12-22 Sebastian Wallot , Dan Mønster

Recurrence quantification analysis (RQA) is a widely used tool for studying complex dynamical systems, but its standard implementation requires computationally expensive calculations of recurrence plots (RPs) and line length histograms.…

Chaotic Dynamics · Physics 2026-01-06 Norbert Marwan

Recurrence plots (RPs) are powerful tools for visualizing time series dynamics; however, traditional Recurrence Quantification Analysis (RQA) often relies on global metrics, such as line counting, that can overlook system-specific,…

Recurrence plot is a quite easy tool to be used in time series analysis,in particular for measuring unstable periodic orbits embedded in a chaotic dynamical system. Recurrence quantified analysis (RQA) is an advance tool that allows the…

Chaotic Dynamics · Physics 2007-05-23 H. Castellini , L. Romanelli

Nowadays, when crashes and crises are rather frequent events, an effective monitoring system for the international financial market is needed. Modern nonlinear methods, such as Recurrence Quantification Analysis (RQA), demonstrate the…

Statistical Finance · Quantitative Finance 2011-12-02 Sergii Piskun , Oleksandr Piskun , Dmitry Chabanenko

Recurrence Plot (RP) and Recurrence Quantification Analysis (RQA) are signal numerical analysis methodologies able to work with non linear dynamical systems and non stationarity. Moreover they well evidence changes in the states of a…

Statistical Mechanics · Physics 2012-10-03 A. Fabretti , M. Ausloos

Recurrence Quantification Analysis (RQA) is a widely used method for capturing the dynamical structure embedded in time series data, relying on the analysis of recurrence patterns in the reconstructed phase space via recurrence plots (RPs).…

Chaotic Dynamics · Physics 2026-01-15 Athul Mohan , G. Ambika , Chandrakala Meena

In sparse recommender settings, users' context and item attributes play a crucial role in deciding which items to recommend next. Despite that, recent works in sequential and time-aware recommendations usually either ignore both aspects or…

Information Retrieval · Computer Science 2022-09-21 Ahmed Rashed , Shereen Elsayed , Lars Schmidt-Thieme

The appropriate selection of recurrence thresholds is a key problem in applications of recurrence quantification analysis (RQA) and related methods across disciplines. Here, we discuss the distribution of pairwise distances between state…

Data Analysis, Statistics and Probability · Physics 2018-04-11 K. Hauke Krämer , Reik V. Donner , Jobst Heitzig , Norbert Marwan

Random double truncation refers a situation in which the variable of interest is observed only when it falls within two random limits. Such phenomenon occurs in many applications of Survival Analysis and Epidemiology, among many other…

Methodology · Statistics 2020-04-21 Jacobo de Uña-Álvarez

This paper presents a new approach for analysing structural properties of time series from complex systems. Starting from the concept of recurrences in phase space, the recurrence matrix of a time series is interpreted as the adjacency…

Chaotic Dynamics · Physics 2011-03-03 Reik V. Donner , Y. Zou , Jonathan F. Donges , Norbert Marwan , Juergen Kurths

Roles are one of the most important concepts in understanding human sociocognitive behavior. During group interactions, members take on different roles within the discussion. Roles have distinct patterns of behavioral engagement (i.e.,…

Computation and Language · Computer Science 2018-08-22 Nia Dowell , Tristian Nixon , Arthur Graesser

Time series data are ubiquitous nowadays. Whereas most of the literature on the topic deals with real-valued time series, categorical time series have received much less attention. However, the development of data mining techniques for this…

Machine Learning · Statistics 2023-04-26 Ángel López Oriona , José Antonio Vilar Fernández

While conversing with chatbots, humans typically tend to ask many questions, a significant portion of which can be answered by referring to large-scale knowledge graphs (KG). While Question Answering (QA) and dialog systems have been…

Computation and Language · Computer Science 2018-10-05 Amrita Saha , Vardaan Pahuja , Mitesh M. Khapra , Karthik Sankaranarayanan , Sarath Chandar

Current temporal knowledge graph question answering (TKGQA) methods primarily focus on implicit temporal constraints, lacking the capability of handling more complex temporal queries, and struggle with limited reasoning abilities and error…

Computation and Language · Computer Science 2025-09-05 Zhaoyan Gong , Juan Li , Zhiqiang Liu , Lei Liang , Huajun Chen , Wen Zhang
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