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Modified scattering phenomena are encountered in the study of global properties for nonlinear dispersive partial differential equations in situations where the decay of solutions at infinity is borderline and scattering fails just barely.…

Analysis of PDEs · Mathematics 2022-12-21 Mihaela Ifrim , Daniel Tataru

In this paper we study the problem of density deconvolution under general assumptions on the measurement error distribution. Typically deconvolution estimators are constructed using Fourier transform techniques, and it is assumed that the…

Statistics Theory · Mathematics 2020-02-04 Denis Belomestny , Alexander Goldenshluger

The outage of a transmission line may change the system phase angle differences to the point that the system experience stress conditions. Hence, the angle differences for post-contingency condition of a transmission lines should be…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Elham Foruzan , Sajjad Abedi , Jeremy Lin , Sohrab Asgarpoor , Emanuel Bernabeu

A novel technique for damage detection of structures is introduced and discussed. It is based on purely electric measurements of the state variables of an electric network coupled to the main structure through a distributed set of…

Mathematical Physics · Physics 2015-05-19 F. dell'Isola , F. Vestroni , S. Vidoli

Understanding the structure of weighted signed networks is essential for analysing social systems in which relationships vary both in sign and strength. Despite significant advances in statistical network analysis, there is still a lack of…

Methodology · Statistics 2025-11-06 Alberto Caimo , Isabella Gollini

In this paper we present a novel representation for deformation fields of 3D shapes, by considering the induced changes in the underlying metric. In particular, our approach allows to represent a deformation field in a coordinate-free way…

Graphics · Computer Science 2017-09-29 Etienne Corman , Maks Ovsjanikov

The aim of this paper is to provide a comprehensive study of some linear nonlocal diffusion problems in metric measure spaces. These include, for example, open subsets in $\mathbb{R}^N$, graphs, manifolds, multi-structures or some fractal…

Analysis of PDEs · Mathematics 2014-12-18 Aníbal Rodríguez-Bernal , Silvia Sastre-Gómez

In the context of nonparametric regression models with one-sided errors, we consider parametric transformations of the response variable in order to obtain independence between the errors and the covariates. We focus in this paper on…

Statistics Theory · Mathematics 2019-01-31 Natalie Neumeyer , Leonie Selk , Charles Tillier

We propose a new approach to model ground penetrating radar signals that propagate through a homogeneous and isotropic medium, and are scattered at thin planar fractures of arbitrary dip, azimuth, thickness and material filling. We use…

Geophysics · Physics 2017-01-06 A. Shakas , N. Linde

Networked sensing refers to the capability of properly orchestrating multiple sensing terminals to enhance specific figures of merit, e.g., positioning accuracy or imaging resolution. Regarding radio-based sensing, it is essential to…

An intrinsic feature of nearly all internal interfaces in crystalline systems (homo- and hetero-phase) is the presence of disconnections (topological line defects constrained to the interface that have both step and dislocation character).…

Materials Science · Physics 2023-05-12 Caihao Qiu , Marco Salvalaglio , David J. Srolovitz , Jian Han

Although Transformer-based methods have significantly improved state-of-the-art results for long-term series forecasting, they are not only computationally expensive but more importantly, are unable to capture the global view of time series…

Machine Learning · Computer Science 2022-06-17 Tian Zhou , Ziqing Ma , Qingsong Wen , Xue Wang , Liang Sun , Rong Jin

We consider a beam-string-beam transmission problem, where two structurally damped or undamped beams are coupled with a frictionally damped string by transmission conditions. We show that for this type of structure, the dissipation produced…

Analysis of PDEs · Mathematics 2021-08-17 Bienvenido Barraza Martínez , Jairo Hernández Monzón , Gustavo Vergara Rolong

Stochastic line integrals provide a useful tool for quantitatively characterizing irreversibility and detailed balance violation in noise-driven dynamical systems. A particular realization is the stochastic area, recently studied in coupled…

Statistical Mechanics · Physics 2022-09-14 Stephen Teitsworth , John Neu

When a plane electromagnetic wave impinges upon a diffraction grating or other periodic structures, reflected and transmitted waves propagate away from the structure in different radiation channels. A diffraction anomaly occurs when the…

Computational Physics · Physics 2022-10-05 Zitao Mai , Ya Yan Lu

Time series data is ubiquitous in research as well as in a wide variety of industrial applications. Effectively analyzing the available historical data and providing insights into the far future allows us to make effective decisions. Recent…

Machine Learning · Computer Science 2022-10-24 Kiran Madhusudhanan , Johannes Burchert , Nghia Duong-Trung , Stefan Born , Lars Schmidt-Thieme

In this paper a new method of detection of homogeneous zones and singularity parts of a 1D signal is proposed. The entropy function is used to transform signal in piecewise linear one. The multiple regression permits to detect lines and…

Numerical Analysis · Mathematics 2025-10-20 Joseph Morlier

Industrial sensor networks produce complex signals with nonlinear structure and shifting distributions. We propose RIE-SenseNet, a novel geometry-aware Transformer model that embeds sensor data in a Riemannian manifold to tackle these…

Machine Learning · Computer Science 2025-05-12 Xu Wang , Puyu Han , Jiaju Kang , Weichao Pan , Luqi Gong

This paper examines the Maxwell system of electrodynamics within the framework of distributions. A primary objective is to establish boundary conditions for fields at interfaces when the charge and current densities are measures localized…

Analysis of PDEs · Mathematics 2025-07-21 Cristian E. Gutiérrez , Ahmad Sabra

Recently, a widely applicable system of hyperbolic partial differential equations has been derived that enables the deterministic computation of a full heterogeneous stress field from a measured deformation field, for example, from a strain…

Materials Science · Physics 2022-09-29 Benjamin C. Cameron , C. Cem Tasan
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