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We present a method that allows to distinguish between nearly periodic and strictly periodic time series. To this purpose, we employ a conservative criterion for periodicity, namely that the time series can be interpolated by a periodic…

Data Analysis, Statistics and Probability · Physics 2015-11-11 Gerrit Ansmann

Classical anomaly detection is principally concerned with point-based anomalies, anomalies that occur at a single data point. In this paper, we present a new mathematical model to express range-based anomalies, anomalies that occur over a…

Artificial Intelligence · Computer Science 2018-02-13 Tae Jun Lee , Justin Gottschlich , Nesime Tatbul , Eric Metcalf , Stan Zdonik

We consider stationary stochastic processes arising from dynamical systems by evaluating a given observable along the orbits of the system. We focus on the extremal behaviour of the process, which is related to the entrance in certain…

The frequency and magnitude of weather extreme events have increased significantly during the past few years in response to anthropogenic climate change. However, global statistical characteristics and underlying physical mechanisms are…

Atmospheric and Oceanic Physics · Physics 2022-09-07 Qing Yao , Jingfang Fan , Jun Meng , Valerio Lucarini , Henrik Jeldtoft Jensen , Kim Christensen , Xiaosong Chen

Recent work on dynamic interventions has greatly expanded the range of causal questions researchers can study while weakening identifying assumptions and yielding effects that are more practically relevant. However, most work in dynamic…

Methodology · Statistics 2019-07-10 Jacqueline A Mauro , Edward H Kennedy , Daniel Nagin

Extending the central concept of recurrence times for a point process to recurrent events in space-time allows us to characterize seismicity as a record breaking process using only spatiotemporal relations among events. Linking record…

Geophysics · Physics 2015-06-26 Joern Davidsen , Peter Grassberger , Maya Paczuski

Simultaneous concurrence of extreme values across multiple climate variables can result in large societal and environmental impacts. Therefore, there is growing interest in understanding these concurrent extremes. In many applications, not…

Applications · Statistics 2021-03-16 Whitney K. Huang , Adam H. Monahan , Francis W. Zwiers

Accurate modelling of the joint extremal dependence structure within a stationary time series is a challenging problem that is important in many applications.\ Several previous approaches to this problem are only applicable to certain types…

Methodology · Statistics 2023-03-09 Graeme Auld , Ioannis Papastathopoulos

We use Monte Carlo simulations of a coarse grained three dimensional model to demonstrate that the experimentally observed approximate temperature independence of the magnetic creep rate for a broad range of temperatures may be explained in…

Superconductivity · Physics 2007-05-23 L. P. Oliveira , Henrik Jeldtoft Jensen , Mario Nicodemi , Paolo Sibani

The thermal characterisation of a building envelope is usually best performed from on site measurements with controlled heating power set points. Occupant-friendly measurement conditions provide on the contrary less informative data.…

Decadal temperature prediction provides crucial information for quantifying the expected effects of future climate changes and thus informs strategic planning and decision-making in various domains. However, such long-term predictions are…

Machine Learning · Computer Science 2023-04-20 Jinfu Ren , Yang Liu , Jiming Liu

This work was developed aiming to employ Statistical techniques to the field of Music Emotion Recognition, a well-recognized area within the Signal Processing world, but hardly explored from the statistical point of view. Here, we opened…

Machine Learning · Statistics 2021-07-13 Nathalie Deziderio , Hugo Tremonte de Carvalho

Most of the time series in nature are a mixture of signals with deterministic and random dynamics. Thus the distinction between these two characteristics becomes important. Distinguishing between chaotic and aleatory signals is difficult…

Data Analysis, Statistics and Probability · Physics 2017-09-13 D. M. Mateos , L. Riveaud , P. W. Lamberti

A thermodynamic device placed outdoors, or a local ecosystem, is subject to a variety of different temperatures given by short-tem (daily) and long-term (seasonal) variations. In the long term a superstatistical description makes sense,…

Atmospheric and Oceanic Physics · Physics 2013-07-31 G. Cigdem Yalcin , Christian Beck

Causal phenomena associated with rare events occur across a wide range of engineering problems, such as risk-sensitive safety analysis, accident analysis and prevention, and extreme value theory. However, current methods for causal…

Machine Learning · Statistics 2023-07-19 Chih-Yuan Chiu , Kshitij Kulkarni , Shankar Sastry

We develop a methodology for conducting inference on extreme quantiles of unobserved individual heterogeneity (e.g., heterogeneous coefficients, treatment effects) in panel data and meta-analysis settings. Inference is challenging in such…

Econometrics · Economics 2026-02-04 Vladislav Morozov

Many natural systems undergo critical transitions, i.e. sudden shifts from one dynamical regime to another. In the climate system, the atmospheric boundary layer can experience sudden transitions between fully turbulent states and…

Atmospheric and Oceanic Physics · Physics 2020-08-26 Amandine Kaiser , Davide Faranda , Sebastian Krumscheid , Danijel Belušić , Nikki Vercauteren

Irregular sampling is a common problem in palaeoclimate studies. We propose a method that provides regularly sampled time series and at the same time a difference filtering of the data. The differences between successive time instances are…

Data Analysis, Statistics and Probability · Physics 2024-01-31 Norbert Marwan , Deniz Eroglu , Ibrahim Ozken , Thomas Stemler , Karl-Heinz Wyrwoll , Jürgen Kurths

We compare probabilistic predictions of extreme temperature anomalies issued by two different forecast schemes. One is a dynamical physical weather model, the other a simple data model. We recall the concept of skill scores in order to…

Applications · Statistics 2013-12-17 Stefan Siegert , Jochen Broecker , Holger Kantz

We present a method for finding optimal controllers for unknown, time-varying, dynamic systems which can be re-initialized from a given initial condition repeatedly, in which the performance measure is available for sampling with noise, but…

Optimization and Control · Mathematics 2018-08-16 Alexander Scheinker , David Scheinker
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