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A challenging problem in physics concerns the possibility of forecasting rare but extreme phenomena such as large earthquakes, financial market crashes, and material rupture. A promising line of research involves the early detection of…

Data Analysis, Statistics and Probability · Physics 2008-12-02 G. M. Viswanathan

In this paper we present an extended version of Hilbert-Huang transform, namely arbitrary-order Hilbert spectral analysis, to characterize the scale-invariant properties of a time series directly in an amplitude-frequency space. We first…

Fluid Dynamics · Physics 2011-07-20 Y. X. Huang , F. G. Schmitt , J. -P. Hermand , Y. Gagne , Z. M. Lu , Y. L. Liu

In order to guarantee the safety of payload, crew, and structures, ships must exhibit good seakeeping, maneuverability, and structural-response performance, also when they operate in adverse weather conditions. In this context, the…

Dynamical Systems · Mathematics 2022-11-08 Andrea Serani , Paolo Dragone , Frederick Stern , Matteo Diez

The time evolution of a closed quantum system is connected to its Hamiltonian through Schroedinger's equation. The ability to estimate the Hamiltonian is critical to our understanding of quantum systems, and allows optimization of control.…

Uncovering meaningful regularities in complex oscillatory signals is a challenging problem with applications across a wide range of disciplines. Here we present a novel approach, based on the Hilbert transform (HT). We show that temporal…

Atmospheric and Oceanic Physics · Physics 2019-05-22 Dario A. Zappalà , Cristina Masoller , Marcelo Barreiro

Human visual attention is a complex phenomenon that has been studied for decades. Within it, the particular problem of scanpath prediction poses a challenge, particularly due to the inter- and intra-observer variability, among other…

Computer Vision and Pattern Recognition · Computer Science 2022-04-21 Daniel Martin , Diego Gutierrez , Belen Masia

The Hilbert-Huang transform is applied to analyze single particle Lagrangian velocity data from numerical simulations of hydrodynamic turbulence. The velocity trajectory is described in terms of a set of intrinsic mode functions, C_{i}(t),…

Fluid Dynamics · Physics 2013-05-07 Yongxiang Huang , Luca Biferale , Enrico Calzavarini , Chao Sun , Federico Toschi

The maritime industry aims towards a sustainable future, which requires significant improvements in operational efficiency. Current approaches focus on minimising fuel consumption and emissions through greater autonomy. Efficient and safe…

Graph Signal Processing generalizes classical signal processing to signal or data indexed by the vertices of a weighted graph. So far, the research efforts have been focused on static graph signals. However numerous applications involve…

Machine Learning · Computer Science 2016-06-22 Francesco Grassi , Nathanael Perraudin , Benjamin Ricaud

Leveraging empirical data is crucial in the development of accurate and reliable virtual models for the advancement of autonomous ship technologies and the optimization of port operations. This study presents an in-depth analysis of ship…

Systems and Control · Electrical Eng. & Systems 2024-08-27 Agnes N. Mwange , Yoshiki Miyauchi , Taichi Kambara , Hiroaki Koike , Kazuyoshi Hosogaya , Atsuo Maki

In time-distance helioseismology, the time signals (Doppler shifts) at two points on the solar surface, separated by a fixed angular distance are cross-correlated, and this leads to a wave packet signal. Accurately measuring the travel…

Astrophysics · Physics 2011-02-11 R. Nigam , A. G. Kosovichev , P. H. Scherrer

An analytical method for investigation of the evolution of dynamical systems {\it with independent on time accuracy} is developed for perturbed Hamiltonian systems. The error-free estimation using of computer algebra enables the application…

Instrumentation and Methods for Astrophysics · Physics 2016-12-13 A. V. Gurzadyan , A. A. Kocharyan

The challenge of preparing a system in a designated state spans diverse facets of quantum mechanics. To complete this task of steering quantum states, one can employ quantum control through a sequence of generalized measurements which…

Quantum Physics · Physics 2024-02-27 Yaroslav Herasymenko , Igor Gornyi , Yuval Gefen

The 'vertical modes and horizontal rays' method, commonly applied for simulating acoustic wave propagation in shallow water is advanced in this research. Our approach to this method involves the use of the so-called space-time rays, which…

Mathematical Physics · Physics 2025-01-08 Aleksandr Kaplun , Boris Katsnelson

The question of controllability is investigated for a quantum control system in which the Hamiltonian operator components carry explicit time dependence which is not under the control of an external agent. We consider the general situation…

Quantum Physics · Physics 2009-11-10 Chunhua Lan , Tzyh-Jong Tarn , Quo-Shin Chi , John W. Clark

Sailboat path-planning is a natural hybrid control problem (due to continuous steering and occasional "tack-switching" maneuvers), with the actual path-to-target greatly affected by stochastically evolving wind conditions. Previous studies…

Optimization and Control · Mathematics 2023-09-26 MingYi Wang , Natasha Patnaik , Anne Somalwar , Jingyi Wu , Alexander Vladimirsky

Detection systems rely more and more on on-line or off-line comparison of detected signals with basis signals in order to determine the characteristics of the impinging particles. Unfortunately, these comparisons are very sensitive to the…

Nuclear Experiment · Physics 2009-06-16 P. Desesquelles , T. M. H. Ha , A. Korichi , F. Le Blanc , A. Olariu , C. M. Petrache

We propose a novel method for constructing Hilbert transform (HT) pairs of wavelet bases based on a fundamental approximation-theoretic characterization of scaling functions--the B-spline factorization theorem. In particular, starting from…

Information Theory · Computer Science 2013-07-23 Kunal Narayan Chaudhury , Michael Unser

This work studies the problem of predicting the loads and motions induced by wave systems on a ship in forward motion (seakeeping). Assuming that the hull is rigid, the motion of the ship is described by the equations of rigid body…

Fluid Dynamics · Physics 2025-04-11 Andrea Colagrossi

Critical evaluation and understanding of ship responses in the ocean is important for not only the design and engineering of future platforms but also the operation and safety of those that are currently deployed. Simulations or experiments…

Machine Learning · Computer Science 2023-01-25 Kevin M. Silva , Kevin J. Maki
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