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This paper presents a new numerical model based on the highly nonlinear potential flow theory for simulating the propagation of water waves in variable depth. A new set of equations for estimating the surface vertical velocity is derived…

Fluid Dynamics · Physics 2024-12-02 Jinghua Wang

Time series prediction covers a vast field of every-day statistical applications in medical, environmental and economic domains. In this paper we develop nonparametric prediction strategies based on the combination of a set of 'experts' and…

Methodology · Statistics 2008-01-03 Gérard Biau , Kevin Bleakley , László Györfi , György Ottucsák

Modern data analysis across diverse disciplines increasingly relies on time series. Many of these datasets exhibit cyclostationarity, where patterns approximately repeat in a regular manner, often across multiple time scales, such as daily,…

This paper presents and investigates a novel methodology for validating high-resolution ocean models using satellite imagery. High-resolution ocean models provide detailed information in coastal areas where other available data products are…

Atmospheric and Oceanic Physics · Physics 2025-01-28 G. Garcia-Sanchez , A. M. Mancho , A. G. Ramos , J. Coca , J. A. Jimenez-Madrid

Models for extreme values accommodating non-stationarity have been amply studied and evaluated from a parametric perspective. Whilst these models are flexible, in the sense that many parametrizations can be explored, they assume an…

Applications · Statistics 2022-02-16 Evandro Konzen , Claudia Neves , Philip Jonathan

In extracting time series data from various sources, it is inevitable to compile variables measured at varying frequencies as this is often dependent on the source. Modeling from these data can be facilitated by aggregating high frequency…

Methodology · Statistics 2025-03-05 Jetrei Benedick R. Benito , Joseph Ryan G. Lansangan , Erniel B. Barrios

Finding parametric models that accurately describe the dependence structure of observed data is a central task in the analysis of time series. Classical frequency domain methods provide a popular set of tools for fitting and diagnostics of…

Methodology · Statistics 2019-01-18 Stefan Birr , Tobias Kley , Stanislav Volgushev

A defining feature of non-stationary systems is the time dependence of their statistical parameters. Measured time series may exhibit Gaussian statistics on short time horizons, due to the central limit theorem. The sample statistics for…

Data Analysis, Statistics and Probability · Physics 2020-10-08 Rudi Schäfer , Sonja Barkhofen , Thomas Guhr , Hans-Jürgen Stöckmann , Ulrich Kuhl

We consider the statistics of extreme ship motions in a nonlinear irregular wave field. While an accurate computation is possible by using a full Monte-Carlo method to cover all individual wave conditions, the computational cost may become…

Fluid Dynamics · Physics 2021-08-10 Xianliang Gong , Zhou Zhang , Kevin J. Maki , Yulin Pan

Max-autogressive moving average (Max-ARMA) processes are powerful tools for modelling time series data with heavy-tailed behaviour; these are a non-linear version of the popular autoregressive moving average models. River flow data…

Methodology · Statistics 2024-03-26 Eleanor D'Arcy , Jonathan A Tawn

The runup of initial Gaussian narrow-banded and wide-banded wave fields and its statistical characteristics are investigated using direct numerical simulations, based on the nonlinear shallow water equations. The bathymetry consists of the…

Atmospheric and Oceanic Physics · Physics 2020-06-26 Ahmed Abdalazeez , Ira Didenkulova , Denys Dutykh , Céline Labart

Curvilinear, multiblock summation-by-parts finite difference operators with the simultaneous approximation term method provide a stable and accurate framework for solving the wave equation in second order form. That said, the standard…

Numerical Analysis · Mathematics 2022-09-07 Brittany A Erickson , Jeremy E Kozdon , Tobias W Harvey

Parametric rolling is one of the dangerous dynamic phenomena. In order to discuss the safety of a vessel when a dangerous phenomenon occurs, it is important to estimate the probability of certain dynamical behavior of the ship with respect…

Dynamical Systems · Mathematics 2022-12-02 Yuuki Maruyama , Atsuo Maki , Leo Dostal , Naoya Umeda

Real-time sea state estimation is vital for applications like shipbuilding and maritime safety. Traditional methods rely on accurate wave-vessel transfer functions to estimate wave spectra from onboard sensors. In contrast, our approach…

Signal Processing · Electrical Eng. & Systems 2026-03-02 Ranjeet K. Tiwari , Daniel Sgarioto , Peter Graham , Alexei Skvortsov , Sanjeev Arulampalam , Damith C. Ranasinghe

In offshore engineering design, nonlinear wave models are often used to propagate stochastic waves from an input boundary to the location of an offshore structure. Each wave realization is typically characterized by a high-dimensional input…

Data Analysis, Statistics and Probability · Physics 2020-04-24 Kenan Šehić , Henrik Bredmose , John D. Sørensen , Mirza Karamehmedović

Modeling ocean surface waves under complex ocean current conditions is of crucial importance to many naval applications. For example, traveling ships and underwater vehicles generate spatially heterogeneous currents behind them through…

Fluid Dynamics · Physics 2022-02-15 Tianyi Li , Anqing Xuan , Lian Shen

Motivated by a condition monitoring application arising from subsea engineering we derive a novel, scalable approach to detecting anomalous mean structure in a subset of correlated multivariate time series. Given the need to analyse such…

Methodology · Statistics 2021-04-02 Martin Tveten , Idris A. Eckley , Paul Fearnhead

Time series data are collected in temporal order and are widely used to train systems for prediction, modeling and classification to name a few. These systems require large amounts of data to improve generalization and prevent over-fitting.…

Signal Processing · Electrical Eng. & Systems 2024-06-26 T. K. M. Lee , H. W. Chan , K. H. Leo , E. Chew , Ling Zhao , S. Sanei

We introduce a general approach for modeling the dynamic of multivariate time series when the data are of mixed type (binary/count/continuous). Our method is quite flexible and conditionally on past values, each coordinate at time $t$ can…

Methodology · Statistics 2021-04-05 Zinsou Max Debaly , Lionel Truquet

A wide range of approaches for batch processes monitoring can be found in the literature. This kind of process generates a very peculiar data structure, in which successive measurements of many process variables in each batch run are…

Methodology · Statistics 2021-09-03 Batista Nunes de Oliveira , Marcio Valk , Danilo Marcondes Filho