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The continued digitization of societal processes translates into a proliferation of time series data that cover applications such as fraud detection, intrusion detection, and energy management, where anomaly detection is often essential to…

This paper reports on the application to field measurements of time series methods developed on the basis of the theory of deterministic chaos. The major difficulties are pointed out that arise when the data cannot be assumed to be purely…

chao-dyn · Physics 2015-06-24 Thomas Schreiber

A Bayesian approach is developed to analyze change points in multivariate time series and space-time data. The methodology is used to assess the impact of extended inundation on the ecosystem of the Gulf Plains bioregion in northern…

Methodology · Statistics 2013-06-21 Chris Strickland , Robert Burdett , Robert Denham , Robert Kohn , Kerrie Mengersen

Current analysis of astronomical data are confronted with the daunting task of modeling the awkward features of astronomical data, among which heteroscedastic (point-dependent) errors, intrinsic scatter, non-ignorable data collection…

Instrumentation and Methods for Astrophysics · Physics 2011-12-19 S. Andreon

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

Machine Learning · Computer Science 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

This paper deals with an estimating of the Fractal Dimension of a hydrometeorology variables like an Air temperature or humidity at a different sites in a landscape (and will be further evaluated from the land use point of view). Three…

Data Analysis, Statistics and Probability · Physics 2015-12-04 Jakub Jura , Aleš Antonín Kuběna , Martina Mironovová

We briefly review some of the scientific challenges and epistemological issues related to climate science. We discuss the formulation and testing of theories and numerical models, which, given the presence of unavoidable uncertainties in…

History and Philosophy of Physics · Physics 2022-03-31 Valerio Lucarini

Time series data is one of the most ubiquitous data modalities existing in a diverse critical domains such as healthcare, seismology, manufacturing and energy. Recent years, there are increasing interest of the data mining community to…

Machine Learning · Computer Science 2025-03-20 Li Zhang

Weather regimes describe the large-scale atmospheric circulation in the mid-latitudes in terms of a few circulation states that modulate regional surface weather. Subseasonal forecasts of prevailing weather regimes have proven skillful and…

Atmospheric and Oceanic Physics · Physics 2024-08-09 Judith Gerighausen , Joshua Dorrington , Marisol Osman , Christian M. Grams

Tropical cyclones (TCs), driven by heat exchange between the air and sea, pose a substantial risk to many communities around the world. Accurate characterization of the subsurface ocean thermal response to TC passage is crucial for accurate…

Applications · Statistics 2024-03-18 Addison J. Hu , Mikael Kuusela , Ann B. Lee , Donata Giglio , Kimberly M. Wood

Geostatistical seismic inversion is commonly used to infer the spatial distribution of the subsurface petro-elastic properties by perturbing the model parameter space through iterative stochastic sequential simulations/co-simulations. The…

Applications · Statistics 2018-10-19 Leonardo Azevedo , Vasily Demyanov

As the world increasingly relies on mathematical models for forecasts in different areas, effective communication of uncertainty in time series predictions is important for informed decision making. This study explores how users estimate…

Human-Computer Interaction · Computer Science 2024-08-23 Apoorva Karagappa , Pawandeep Kaur Betz , Jonas Gilg , Moritz Zeumer , Andreas Gerndt , Bernhard Preim

We introduce a simple method to estimate the system parameters in continuous dynamical systems from the time series. In this method, we construct a modified system by introducing some constants (controlling constants) into the given…

Chaotic Dynamics · Physics 2009-11-10 P. Palaniyandi , M. Lakshmanan

Systematic uncertainties in high energy physics and astrophysics are often significant contributions to the overall uncertainty in a measurement, in many cases being comparable to the statistical uncertainties. However, consistent…

High Energy Physics - Experiment · Physics 2025-10-29 Pekka K. Sinervo , C. M

The challenges in operational flood forecasting lie in producing reliable forecasts given constrained computational resources and within processing times that are compatible with near-real-time forecasting. Flood hydrodynamic models exploit…

Image and Video Processing · Electrical Eng. & Systems 2023-10-25 Thanh Huy Nguyen , Sophie Ricci , Andrea Piacentini , Quentin Bonassies , Raquel Rodriguez Suquet , Santiago Peña Luque , Kevin Marlis , Cédric David

Reliable dynamic sea level forecasts are hindered by numerous sources of uncertainty on daily-to-seasonal timescales (1-180 days) due to atmospheric boundary conditions and internal ocean variability. Studies have demonstrated that certain…

Atmospheric and Oceanic Physics · Physics 2025-07-22 Andrew Brettin , Laure Zanna , Elizabeth A. Barnes

When employing non-linear methods to characterise complex systems, it is important to determine to what extent they are capturing genuine non-linear phenomena that could not be assessed by simpler spectral methods. Specifically, we are…

Methodology · Statistics 2021-09-22 Pedro A. M. Mediano , Fernando E. Rosas , Adam B. Barrett , Daniel Bor

The climate is a forced and dissipative nonlinear system featuring non-trivial dynamics of a vast range of spatial and temporal scales. The understanding of the climate's structural and multiscale properties is crucial for the provision of…

Atmospheric and Oceanic Physics · Physics 2015-06-17 Valerio Lucarini , Richard Blender , Corentin Herbert , Salvatore Pascale , Francesco Ragone , Jeroen Wouters

Marine ecosystem models are an important tool to assess the role of the ocean biota in climate change and to identify relevant biogeochemical processes by validating the model outputs against observational data. For the assessment of the…

Populations and Evolution · Quantitative Biology 2021-12-01 Markus Pfeil , Thomas Slawig

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
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