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Identifying causal relationships from observational time series data is a key problem in disciplines such as climate science or neuroscience, where experiments are often not possible. Data-driven causal inference is challenging since…

Methodology · Statistics 2019-12-03 Jakob Runge , Peer Nowack , Marlene Kretschmer , Seth Flaxman , Dino Sejdinovic

There is a lack of methodological results for continuous time change detection due to the challenges of noninformative prior specification and efficient posterior inference in this setting. Most methodologies to date assume data are…

Methodology · Statistics 2025-04-28 Dan Cunha , Mark Friedl , Luis Carvalho

Cross-correlation analysis is a powerful tool for understanding the mutual dynamics of time series. This study introduces a new method for predicting the future state of synchronization of the dynamics of two financial time series. To this…

Statistical Finance · Quantitative Finance 2022-11-03 Mostafa Shabani , Martin Magris , George Tzagkarakis , Juho Kanniainen , Alexandros Iosifidis

Spiking neuronal networks are usually simulated with three main simulation schemes: the classical time-driven and event-driven schemes, and the more recent hybrid scheme. All three schemes evolve the state of a neuron through a series of…

Neurons and Cognition · Quantitative Biology 2018-01-24 Jeyashree Krishnan , PierGianLuca Porta Mana , Moritz Helias , Markus Diesmann , Edoardo Di Napoli

We devised a measure based on the distributions of relative event timings of two coupled units. The measure dynamically evaluates temporal interdependencies between the two coupled units. Using this we show that even in the event of…

Chaotic Dynamics · Physics 2007-05-23 Michal Zochowski , Rhonda Dzakpasu

Concept drift -- the change of the distribution over time -- poses significant challenges for learning systems and is of central interest for monitoring. Understanding drift is thus paramount, and drift localization -- determining which…

Machine Learning · Computer Science 2026-04-22 Fabian Hinder , Valerie Vaquet , Johannes Brinkrolf , Barbara Hammer

Consider a time series with missing observations but a known final point. Using control theory ideas we estimate/predict these missing observations. We obtain recurrence equations which minimize sum of squares of a control sequence. An…

Statistics Theory · Mathematics 2011-11-09 Vyacheslav M. Abramov , Fima C. Klebaner

Effective utilization of time series data is often constrained by the scarcity of data quantity that reflects complex dynamics, especially under the condition of distributional shifts. Existing datasets may not encompass the full range of…

Computational Engineering, Finance, and Science · Computer Science 2024-06-11 Haibei Zhu , Yousef El-Laham , Elizabeth Fons , Svitlana Vyetrenko

Time series data is a collection of chronological observations which is generated by several domains such as medical and financial fields. Over the years, different tasks such as classification, forecasting, and clustering have been…

Machine Learning · Computer Science 2021-02-12 Raha Moraffah , Paras Sheth , Mansooreh Karami , Anchit Bhattacharya , Qianru Wang , Anique Tahir , Adrienne Raglin , Huan Liu

We describe a family of conservative statistical tests for independence of two autocorrelated time series. The series may take values in any sets, and one of them must be stationary. A user-specified function quantifying the association of…

Methodology · Statistics 2020-12-15 Kenneth D. Harris

When analysing time series an important issue is to decide whether the time series is stationary or a random walk. Relaxing these notions, we consider the problem to decide in favor of the I(0)- or I(1)-property. Fixed-sample statistical…

Statistics Theory · Mathematics 2018-05-01 Ansgar Steland

We consider the problem of change-point detection in multivariate time-series. The multivariate distribution of the observations is supposed to follow a graphical model, whose graph and parameters are affected by abrupt changes throughout…

Machine Learning · Statistics 2016-06-20 Loïc Schwaller , Stéphane Robin

Time series often contain outliers and level shifts or structural changes. These unexpected events are of the utmost importance in fraud detection, as they may pinpoint suspicious transactions. The presence of such unusual events can easily…

Computation · Statistics 2021-01-13 Peter J. Rousseeuw , Domenico Perrotta , Marco Riani , Mia Hubert

In the last years there has been a considerable increase in the availability of continuous sensor measurements in a wide range of application domains, such as Location-Based Services (LBS), medical monitoring systems, manufacturing plants…

Databases · Computer Science 2015-03-20 Michele Dallachiesa , Besmira Nushi , Katsiaryna Mirylenka , Themis Palpanas

The cross spectrum encodes the correlated variability between two time signals. In recent years, the cross spectrum has been used to study astronomical sources, particularly in the field of X-ray timing. In the literature, it has been…

Instrumentation and Methods for Astrophysics · Physics 2026-03-03 Edward J. R. Nathan , Adam Ingram , Daniela Huppenkothen , Matteo Bachetti , Javier A. García

A central goal in social science is to evaluate the causal effect of a policy. One dominant approach is through panel data analysis in which the behaviors of multiple units are observed over time. The information across time and space…

Econometrics · Economics 2022-10-11 Dennis Shen , Peng Ding , Jasjeet Sekhon , Bin Yu

We develop an anomaly-detection method when systematic anomalies, possibly statistically very similar to genuine inputs, are affecting control systems at the input and/or output stages. The method allows anomaly-free inputs (i.e., those…

Methodology · Statistics 2022-02-01 Ning Sun , Chen Yang , Ričardas Zitikis

This paper addresses the problem of identifying and estimating the causal effect of a treatment in the presence of unmeasured confounding and various types of right-censoring. Examples of these censoring mechanisms are administrative…

Statistics Theory · Mathematics 2025-03-19 Ilias Willems , Sara Rutten , Gilles Crommen , Ingrid Van Keilegom

Natural and social multivariate systems are commonly studied through sets of simultaneous and time-spaced measurements of the observables that drive their dynamics, i.e., through sets of time series. Typically, this is done via hypothesis…

Statistical Finance · Quantitative Finance 2020-07-01 Riccardo Marcaccioli , Giacomo Livan

The notion of concept drift refers to the phenomenon that the distribution, which is underlying the observed data, changes over time; as a consequence machine learning models may become inaccurate and need adjustment. While there do exist…

Machine Learning · Computer Science 2020-06-24 Fabian Hinder , Barbara Hammer
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