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Parametric rolling is a parametric excitation phenomenon caused by GM variation in waves. There are a lot of studies of the estimation the conditions, the occurrence, and the amplitude of parametric rolling. On the other hand, there are…

Fluid Dynamics · Physics 2024-07-04 Keiji Katsumura , Leo Dostal , Taiga Kono , Yuuki Maruyama , Masahiro Sakai , Atsuo Maki

Missing data and noisy observations pose significant challenges for reliably predicting events from irregularly sampled multivariate time series (longitudinal) data. Imputation methods, which are typically used for completing the data prior…

Machine Learning · Statistics 2017-08-17 Hossein Soleimani , James Hensman , Suchi Saria

Accurate ocean forecasting systems are vital for understanding marine dynamics, which play a crucial role in environmental management and climate adaptation strategies. Traditional numerical solvers, while effective, are computationally…

Atmospheric and Oceanic Physics · Physics 2024-11-21 Daniel Holmberg , Emanuela Clementi , Teemu Roos

The aim of this work was to predict the probability of the spread of rock formations with hydrocarbon-collecting properties in the studied coastal area using a stack of machine learning algorithms and data augmentation and modification…

Geophysics · Physics 2023-01-10 Dmitry Ivlev

Max-stable processes are increasingly widely used for modelling complex extreme events, but existing fitting methods are computationally demanding, limiting applications to a few dozen variables. $r$-Pareto processes are mathematically…

Methodology · Statistics 2017-06-14 Raphaël de Fondeville , Anthony C. Davison

This study addresses an important gap in time series outlier detection by proposing a novel problem setting: long-term outlier prediction. Conventional methods primarily focus on immediate detection by identifying deviations from normal…

Probability predictions are essential to inform decision making across many fields. Ideally, probability predictions are (i) well calibrated, (ii) accurate, and (iii) bold, i.e., spread out enough to be informative for decision making.…

Methodology · Statistics 2024-06-07 Adeline P. Guthrie , Christopher T. Franck

Probability forecasting is common in the geosciences, the finance sector, and elsewhere. It is sometimes the case that one has multiple probability-forecasts for the same target. How is the information in these multiple forecast systems…

Methodology · Statistics 2016-03-02 Sarah Higgins , Hailiang Du , Leonard A. Smith

Forecasting future weather and climate is inherently difficult. Machine learning offers new approaches to increase the accuracy and computational efficiency of forecasts, but current methods are unable to accurately model uncertainty in…

Machine Learning · Computer Science 2023-02-02 Yusuke Hatanaka , Yannik Glaser , Geoff Galgon , Giuseppe Torri , Peter Sadowski

Coastal flooding drives considerable risks to many communities, but projections of future flood risks are deeply uncertain. The paucity of observations of extreme events often motivates the use of statistical approaches to model the…

Applications · Statistics 2018-08-01 Tony E. Wong , Alexandra Klufas , Vivek Srikrishnan , Klaus Keller

High-fidelity ocean forecasting at high spatial and temporal resolution is essential for capturing fine-scale dynamical features, with profound implications for hazard prediction, maritime navigation, and sustainable ocean management. While…

Atmospheric and Oceanic Physics · Physics 2025-09-30 Yuan Niu , Qiusheng Huang , Xiaohui Zhong , Anboyu Guo , Lei Chen , Xiaoyan Jia , Jiawei Qi , Dianjun Zhang , Hao Li , Xuefeng Zhang

Various subsystems of the Earth system may undergo critical transitions by passing a so-called tipping point, under sustained changes to forcing. For example, the Atlantic Meridional Overturning Circulation (AMOC) is of particular…

Atmospheric and Oceanic Physics · Physics 2021-11-01 Kerstin Lux , Peter Ashwin , Richard Wood , Christian Kuehn

The output of solar power generation is significantly dependent on the available solar radiation. Thus, with the proliferation of PV generation in the modern power grid, forecasting of solar irradiance is vital for proper operation of the…

Applications · Statistics 2022-09-05 Kwasi Opoku , Svetlana Lucemo , Qun Zhou Sun , Aleksandar Dimitrovski

We introduce a technique of time series analysis, potential forecasting, which is based on dynamical propagation of the probability density of time series. We employ polynomial coefficients of the orthogonal approximation of the empirical…

Data Analysis, Statistics and Probability · Physics 2015-06-12 V. N. Livina , G. Lohmann , M. Mudelsee , T. M. Lenton

The key to successful statistical analysis of bivariate extreme events lies in flexible modelling of the tail dependence relationship between the two variables. In the extreme value theory literature, various techniques are available to…

Methodology · Statistics 2025-05-05 Emma S. Simpson , Jonathan A. Tawn

Real-time probability forecasts for binary outcomes are routine in sports, online experimentation, medicine, and finance. Retrospective narratives, however, often hinge on pathwise extremes: for example, a forecast that becomes "90%…

Applications · Statistics 2026-04-03 Jonathan Pipping-Gamón , Abraham J. Wyner

A common approach for modeling extremes, such as peak flow or high temperatures, is the three-parameter Generalized Extreme-Value distribution. This is typically fit to extreme observations, here defined as maxima over disjoint blocks. This…

Applications · Statistics 2025-10-07 Nathan Huet , Ilaria Prosdocimi

We propose a method for the accurate estimation of rare event or failure probabilities for expensive-to-evaluate numerical models in high dimensions. The proposed approach combines ideas from large deviation theory and adaptive importance…

Computation · Statistics 2023-03-28 Shanyin Tong , Georg Stadler

A~machine learning framework is developed to estimate ocean-wave conditions. By supervised training of machine learning models on many thousands of iterations of a physics-based wave model, accurate representations of significant wave…

Atmospheric and Oceanic Physics · Physics 2017-09-27 Scott C. James , Yushan Zhang , Fearghal O'Donncha

Seasonal forecast of Arctic sea ice concentration is key to mitigate the negative impact and assess potential opportunities posed by the rapid decline of sea ice coverage. Seasonal prediction systems based on climate models often show…

Machine Learning · Computer Science 2026-02-10 Parsa Gooya , Reinel Sospedra-Alfonso