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Tipping points occur in many real-world systems, at which the system shifts suddenly from one state to another. The ability to predict the occurrence of tipping points from time series data remains an outstanding challenge and a major…

Machine Learning · Computer Science 2024-12-10 Chengzuo Zhuge , Jiawei Li , Wei Chen

As both a central task in Remote Sensing and a common problem in many other situations involving time series data, change point detection boasts a thorough and well-documented history of study. However, the treatment of missing data and…

Applications · Statistics 2015-04-01 Hunter Glanz , Xiaoman Huang , Minhui Zheng , Luis E. Carvalho

Approaching a dangerous bifurcation, from which a dynamical system such as the Earth's climate will jump (tip) to a different state, the current stable state lies within a shrinking basin of attraction. Persistence of the state becomes…

Dynamical Systems · Mathematics 2015-08-11 Jan Sieber , J. Michael T. Thompson

We propose a grid-based methodology for online changepoint detection that allows offline changepoint tests to be applied to sequentially observed data. The methodology achieves low update and storage costs by testing for changepoints over a…

Methodology · Statistics 2026-03-20 Per August Jarval Moen

Time-reversibility is a crucial feature of many time series models, while time-irreversibility is the rule rather than the exception in real-life data. Testing the null hypothesis of time-reversibilty, therefore, should be an important step…

Methodology · Statistics 2024-11-19 Yuichi Goto , Marc Hallin

The climate change attribution problem is addressed using empirical decomposition. Cycles in solar motion and activity of 60 and 20 years were used to develop an empirical model of Earth temperature variations. The model was fit to the…

Geophysics · Physics 2012-06-27 Craig Loehle , Nicola Scafetta

The two main drivers of climate change on sub-Milankovic time scales are re-assessed by means of a multiple regression analysis. Evaluating linear combinations of the logarithm of carbon dioxide concentration and the geomagnetic aa-index as…

Atmospheric and Oceanic Physics · Physics 2021-01-14 Frank Stefani

Climate change is a result of a complex system of interactions of greenhouse gases (GHG), the ocean, land, ice, and clouds. Large climate change models use several computers and solve several equations to predict the future climate. The…

Atmospheric and Oceanic Physics · Physics 2020-04-21 Shalin Shah

We investigate the normal mode spectrum of a trapped ion chain at the symmetry-breaking linear to zigzag transition and at finite temperatures. For this purpose we modulate the amplitude of the Doppler cooling laser in order to excite and…

Nowadays, weather prediction is based on numerical weather prediction (NWP) models to produce an ensemble of forecasts. Despite of large improvements over the last few decades, they still tend to exhibit systematic bias and dispersion…

Applications · Statistics 2024-02-02 David Jobst , Annette Möller , Jürgen Groß

Change point detection (CPD) aims to locate abrupt property changes in time series data. Recent CPD methods demonstrated the potential of using deep learning techniques, but often lack the ability to identify more subtle changes in the…

Machine Learning · Computer Science 2021-07-21 Tim De Ryck , Maarten De Vos , Alexander Bertrand

Many time series problems feature epidemic changes - segments where a parameter deviates from a background baseline. The number and location of such changes can be estimated in a principled way by existing detection methods, providing that…

Methodology · Statistics 2020-08-20 Julius Juodakis , Stephen Marsland

Thermocouples are in widespread use in industry, but they are particularly susceptible to calibration drift in harsh environments. Self-validating thermocouples aim to address this issue by using a miniature phase-change cell (fixed-point)…

Instrumentation and Detectors · Physics 2025-11-13 Samuel Bilson , Andrew Thompson , Declan Tucker , Jonathan Pearce

Classical assessments of trends in gridded temperature data perform independent evaluations across the grid, thus, ignoring spatial correlations in the trend estimates. In particular, this affects assessments of trend significance as…

Applications · Statistics 2019-01-28 Ola Haug , Thordis L Thorarinsdottir , Sigrunn H Sørbye , Christian L E Franzke

The evaluation of climate models is a crucial step in climate studies. It consists of quantifying the resemblance of model outputs to reference data to identify models with superior capacity to replicate specific climate variables. Clearly,…

Atmospheric and Oceanic Physics · Physics 2023-07-11 Mario J. Gómez , Luis A. Barboza , Hugo G. Hidalgo , Eric J. Alfaro

Tropical Cyclones (TCs) are counted among the most destructive phenomena that can be found in nature. Every year, globally an average of 90 TCs occur over tropical waters, and global warming is making them stronger, larger and more…

Atmospheric and Oceanic Physics · Physics 2023-11-28 Gabriele Accarino , Davide Donno , Francesco Immorlano , Donatello Elia , Giovanni Aloisio

Many time series exhibit changes both in level and in variability. Generally, it is more important to detect a change in the level, and changing or smoothly evolving variability can confound existing tests. This paper develops a framework…

Statistics Theory · Mathematics 2016-12-09 Tomasz Gorecki , Lajos Horvath , Piotr Kokoszka

Various regions in the Northern Hemispheric midlatitudes have seen pronounced trends in upper-atmosphere summer circulation and surface temperature extremes over recent decades (since 1979). Several of these regional trends lie outside the…

Atmospheric and Oceanic Physics · Physics 2025-12-19 Tamara Happé , Chiem van Straaten , Raed Hamed , Fabio D'Andrea , Dim Coumou

In the present paper we address the real-time detection problem of a change-point in the coefficients of a linear model with the possibility that the model errors are asymmetrical and that the explanatory variables number is large. We build…

Methodology · Statistics 2020-07-31 Gabriela Ciuperca

High resolution information on climatic conditions is essential to many applications in environmental and ecological sciences. Here we present the CHELSA Climatologies at high resolution for the earths land surface areas data of downscaled…