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Radar odometry is crucial for robust localization in challenging environments; however, the sparsity of reliable returns and distinctive noise characteristics impede its performance. This paper introduces geometrically-constrained…

机器人学 · 计算机科学 2026-04-06 Wooseong Yang , Dongjae Lee , Minwoo Jung , Ayoung Kim

This work addresses uncertainty quantification of electromagnetic devices determined by the eddy current problem. The multilevel Monte Carlo (MLMC) method is used for the treatment of uncertain parameters while the devices are discretized…

计算工程、金融与科学 · 计算机科学 2020-03-24 Armin Galetzka , Zeger Bontinck , Ulrich Römer , Sebastian Schöps

Discrete translational symmetry plays a fundamental role in condensed matter physics and lattice gauge theories, enabling the analysis of systems that would otherwise be intractable. Despite this, many open problems remain. Quantum…

量子物理 · 物理学 2026-01-07 Joris Kattemölle , Guido Burkard

The properties of the effective sigma-model for D-dimensional Einstein gravity based on multidimensional geometries is analyzed. Besides pure geometry, additional minimally coupled scalars and (p+2)-forms are considered which yield an…

广义相对论与量子宇宙学 · 物理学 2014-11-17 M. Rainer

Simulating beam loading in radiofrequency accelerating structures is critical for understanding higher-order mode effects on beam dynamics, such as beam break-up instability in energy recovery linacs. Full wave simulations of beam loading…

加速器物理 · 物理学 2017-05-31 Dan T. Abell , Nathan M. Cook , Stephen D. Webb

This paper proposes a novel paradigm for machine learning that moves beyond traditional parameter optimization. Unlike conventional approaches that search for optimal parameters within a fixed geometric space, our core idea is to treat the…

机器学习 · 计算机科学 2025-10-31 Di Zhang

Machine learning classifiers are probabilistic in nature, and thus inevitably involve uncertainty. Predicting the probability of a specific input to be correct is called uncertainty (or confidence) estimation and is crucial for risk…

机器学习 · 计算机科学 2023-01-11 Gabriella Chouraqui , Liron Cohen , Gil Einziger , Liel Leman

The state of art of electromagnetic integral equations has seen significant growth over the past few decades, overcoming some of the fundamental bottlenecks: computational complexity, low frequency and dense discretization breakdown,…

数值分析 · 数学 2022-09-21 A. M. A. Alsnayyan , B. Shanker

Recently several European National Measurement Institutes have established traceable calibration methods for dynamic mechanical quantities, e.g., dynamic force, torque and pressure. However, the use in industry and elsewhere of dynamic…

系统与控制 · 计算机科学 2018-11-12 Trevor Esward , Sascha Eichstädt , Ian Smith , Thomas Bruns , Peter Davis , Peter Harris

An isogeometric boundary element method for problems in elasticity is presented, which is based on an independent approximation for the geometry, traction and displacement field. This enables a flexible choice of refinement strategies,…

数值分析 · 计算机科学 2015-02-04 Benjamin Marussig , Jürgen Zechner , Gernot Beer , Thomas-Peter Fries

Many engineering systems are subject to spatially distributed uncertainty, i.e. uncertainty that can be modeled as a random field. Altering the mean or covariance of this uncertainty will in general change the statistical distribution of…

最优化与控制 · 数学 2014-07-09 Eric Dow , Qiqi Wang

We develop a coordinate invariant formalism which describes the mechanical and electromagnetic interaction of gravitational waves (GWs) with a wide class of resonant detectors. We solve the GW-modified equations of electrodynamics and…

广义相对论与量子宇宙学 · 物理学 2026-03-02 Jordan Gué , Tom Krokotsch , Gudrid Moortgat-Pick

For many stochastic processes there is an underlying coordinate space, $V$, with the process moving from point to point in $V$ or on variables (such as spin configurations) defined with respect to $V$. There is a matrix of transition…

统计力学 · 物理学 2007-11-08 Bernard Gaveau , Lawrence S. Schulman , Leonard J. Schulman

Thermal modeling of Laser Powder Bed Fusion (LPBF) is challenging due to steep, rapidly moving thermal gradients induced by the laser, which are difficult to resolve accurately with conventional Finite Element Methods. Highly refined,…

数值分析 · 数学 2025-11-26 Yang Yang , Ye Ji , Matthias Möller , Can Ayas

The focus of this work is on the development of an error-driven isogeometric framework, capable of automatically performing an adaptive simulation in the context of second- and fourth-order, elliptic partial differential equations defined…

数值分析 · 数学 2020-04-22 Luca Coradello , Pablo Antolin , Rafael Vázquez , Annalisa Buffa

From serving a cup of coffee to positioning mechanical parts during assembly, stable object placement is a crucial skill for future robots. It becomes particularly challenging under geometric uncertainties, e.g., when the object pose or…

机器人学 · 计算机科学 2025-12-02 Linfeng Li , Gang Yang , Lin Shao , David Hsu

An efficient computational approach for imaging binary-type physical properties suitable for various models in biomedical applications is developed and validated. The proposed methodology includes gradient-based multiscale optimization with…

最优化与控制 · 数学 2024-01-30 Maria M. F. M. Chun , Briana L. Edwards , Vladislav Bukshtynov

The complex interplay between turbulence, magnetic fields, and self-gravity leads to the formation of molecular clouds out of the diffuse interstellar medium (ISM). One avenue of studying this interplay is by analyzing statistical features…

星系天体物理 · 物理学 2017-02-22 Frank Otto , Weiguang Ji , Hua-bai Li

The study of quantum three-body problems has been centered on low-energy states that rely on accurate numerical approximation. Recently, isogeometric analysis (IGA) has been adopted to solve the problem as an alternative but more robust…

数值分析 · 数学 2023-01-25 Danyang Li , Quanling Deng

The paper discusses the relationships between electrical and affine differential geometry quantities, establishing a link between frequency and time derivatives of voltage, through the utilization of affine geometric invariants. Based on…

微分几何 · 数学 2024-09-26 Ali Alshawabkeh , Georgios Tzounas , Angel Molina-Garcia , Federico Milano