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The Whittle likelihood is widely used for Bayesian nonparametric estimation of the spectral density of stationary time series. However, the loss of efficiency for non-Gaussian time series can be substantial. On the other hand, parametric…

Methodology · Statistics 2017-01-19 Claudia Kirch , Matthew C. Edwards , Alexander Meier , Renate Meyer

Inspired by biological swimming and flying with distributed sensing, we propose a data-driven approach for load estimation that relies on complex networks. We exploit sparse, real-time pressure inputs, combined with pre-trained transition…

Fluid Dynamics · Physics 2022-02-16 Giovanni Iacobello , Frieder Kaiser , David E. Rival

Today's ocean numerical prediction skills depend on the availability of in-situ and remote ocean observations at the time of the predictions only. Because observations are scarce and discontinuous in time and space, numerical models are…

Signal Processing · Electrical Eng. & Systems 2022-06-06 Ali Muhamed Ali , Hanqi Zhuang , Yu Huang , Ali K. Ibrahim , Ali Salem Altaher , Laurent Chérubin

The directional distribution of ocean surface roughness is examined using the Ku, C and L band microwave radar backscattering. The parameters characterizing the upwind-downwind and upwind-crosswind variations show nonmonotonic dependence on…

Atmospheric and Oceanic Physics · Physics 2019-06-27 Paul A. Hwang

Any frequency selective device with an ongoing drift will cause observed spectra to be variously and simultaneously scaled in proportion to their source distances. The reason is that detectors after the drifting selection will integrate…

General Physics · Physics 2008-12-05 V. Guruprasad

The operational reliability of a high performance marine vessel depends critically on the health of its marine propulsion systems, which are increasingly subjected to diverse operational loads and environmental stressors. This paper…

Systems and Control · Electrical Eng. & Systems 2026-05-27 Y. Harsha Vardhana Reddy , Soumyendu Raha

In this paper we review recent developments in the statistical theory of weakly nonlinear dispersive waves, the subject known as Wave Turbulence (WT). We revise WT theory using a generalisation of the random phase approximation (RPA). This…

Mathematical Physics · Physics 2007-05-23 Yeontaek Choi , Yuri V. Lvov , Sergey Nazarenko

Accurate ocean dynamics modeling is crucial for enhancing understanding of ocean circulation, predicting climate variability, and tackling challenges posed by climate change. Despite improvements in traditional numerical models, predicting…

Timeseries generated from a dynamical source can often be modeled as sample paths of a stochastic differential equation (SDE). The timeseries thus reflects the motion of a particle which flows along the direction provided by a drift /…

Dynamical Systems · Mathematics 2025-11-03 Suddhasattwa Das

In oceanography, modeling wave fields requires the use of statistical tools capable of handling the circular nature of the {data measurements}. An important issue in ocean wave analysis is the study of height and direction waves, being…

Methodology · Statistics 2024-02-01 Andrea Meilán-Vila , Rosa M. Crujeiras , Mario Francisco-Fernández

Spatially-indexed multivariate data appear frequently in geostatistics and related fields including oceanography and environmental science. To take full advantage of this data structure, cross-covariance functions are constructed to…

Methodology · Statistics 2025-03-07 Drew Yarger , Anindya Bhadra

Spatially dependent parameters of a two-component chaotic reaction-diffusion PDE model describing ocean ecology are observed by sampling a single species. We estimate model parameters and the other species in the system by…

Dynamical Systems · Mathematics 2017-04-05 Sean Kramer , Erik M. Bollt

Numerous organisations collect data in the Great Barrier Reef (GBR), but they are rarely analysed together due to different program objectives, methods, and data quality. We developed a weighted spatiotemporal Bayesian model and used it to…

Accurate marine wind forecasts are essential for safe navigation, ship routing, and energy operations, yet they remain challenging because observations over the ocean are sparse, heterogeneous, and temporally variable. We reformulate wind…

Machine Learning · Computer Science 2025-12-04 Matteo Peduto , Qidong Yang , Jonathan Giezendanner , Devis Tuia , Sherrie Wang

We study the problem of drift estimation for two-scale continuous time series. We set ourselves in the framework of overdamped Langevin equations, for which a single-scale surrogate homogenized equation exists. In this setting, estimating…

Numerical Analysis · Mathematics 2021-06-08 Assyr Abdulle , Giacomo Garegnani , Grigorios A. Pavliotis , Andrew M. Stuart , Andrea Zanoni

Decomposing oceanic and atmospheric flow fields into their slowly evolving balanced components and fast evolving wave components is essential for understanding processes like spontaneous wave emission. To study these processes, the…

Atmospheric and Oceanic Physics · Physics 2025-01-22 Silvano Gordian Rosenau , Manita Chouksey , Carsten Eden

The tilted-wave interferometer is a promising technique for the development of a reference measurement system for the highly accurate form measurement of aspheres and freeform surfaces. The technique combines interferometric measurements,…

Communications using frequency bands in the millimeter-wave range can play a key role in future generations of mobile networks. By allowing large bandwidth allocations, high carrier frequencies will provide high data rates to support the…

Networking and Internet Architecture · Computer Science 2017-05-08 Cristian Tatino , Ilaria Malanchini , Danish Aziz , Di Yuan

The robustness of two widespread multifractal analysis methods, one based on detrended fluctuation analysis and one on wavelet leaders, is discussed in the context of time-series containing non-uniform structures with only isolated…

Data Analysis, Statistics and Probability · Physics 2020-04-08 Paweł Oświęcimka , Stanisław Drożdż , Mattia Frasca , Robert Gębarowski , Natsue Yoshimura , Luciano Zunino , Ludovico Minati

This article presents a new continuous-time modelling framework for multivariate time series of counts which have an infinitely divisible marginal distribution. The model is based on a mixed moving average process driven by L\'{e}vy noise -…

Methodology · Statistics 2016-08-11 Almut E. D. Veraart