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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.…

偏微分方程分析 · 数学 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…

统计理论 · 数学 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…

信号处理 · 电气工程与系统科学 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…

数学物理 · 物理学 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…

统计方法学 · 统计学 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…

图形学 · 计算机科学 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…

偏微分方程分析 · 数学 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…

统计理论 · 数学 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…

地球物理 · 物理学 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).…

材料科学 · 物理学 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…

机器学习 · 计算机科学 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…

偏微分方程分析 · 数学 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…

统计力学 · 物理学 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…

计算物理 · 物理学 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…

机器学习 · 计算机科学 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…

数值分析 · 数学 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…

机器学习 · 计算机科学 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…

偏微分方程分析 · 数学 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…

材料科学 · 物理学 2022-09-29 Benjamin C. Cameron , C. Cem Tasan
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