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Optimal transport (OT) distances between probability distributions are parameterized by the ground metric they use between observations. Their relevance for real-life applications strongly hinges on whether that ground metric parameter is…

Machine Learning · Statistics 2020-11-06 Matthieu Heitz , Nicolas Bonneel , David Coeurjolly , Marco Cuturi , Gabriel Peyré

The problem of the measurability of the electromagnetic field is investigated 1) in the framework of the abstract restricted-path-integral method, and 2) by explicitly accounting the action of the field onto the meter and its back reaction.…

Quantum Physics · Physics 2009-11-06 Horst von Borzeszkowski , Michael B. Mensky

There is ample evidence for magnetic reconnection in the solar system, but it is a nontrivial task to visualize, to determine the proper approaches and frames to study, and in turn to elucidate the physical processes at work in reconnection…

Probing magnetic fields in astrophysical environments is both important and challenging. The Gradient Technique (GT) is a new tool for tracing magnetic fields, rooted in the properties of magnetohydrodynamic (MHD) turbulence and turbulent…

Astrophysics of Galaxies · Physics 2024-06-18 Yue Hu , Alex Lazarian

Magnetic reconnection plays an important role in converting energy while modifying field topology. This process takes place in varied plasma environments in which the transport of magnetic flux is intrinsic. Identifying active magnetic…

Space Physics · Physics 2022-03-15 Yi Qi , Tak Chu Li , Christopher T. Russell , Robert E. Ergun , Ying-Dong Jia , Mark Hubbert

Fingerprint recognition is widely used for verification and identification in many commercial, governmental and forensic applications. The orientation field (OF) plays an important role at various processing stages in fingerprint…

Computer Vision and Pattern Recognition · Computer Science 2018-01-26 Carsten Gottschlich , Benjamin Tams , Stephan Huckemann

Optical flow is a useful input for various applications, including 3D reconstruction, pose estimation, tracking, and structure-from-motion. Despite its utility, the field of dense long-term tracking, especially over wide baselines, has not…

Computer Vision and Pattern Recognition · Computer Science 2024-02-22 Tomáš Jelínek , Jonáš Šerých , Jiří Matas

The behavior of orbits in charged-particle beam transport systems, including both linear and circular accelerators as well as final focus sections and spectrometers, can depend sensitively on nonlinear fringe-field and high-order-multipole…

Accelerator Physics · Physics 2014-11-20 Chad E. Mitchell , Alex J. Dragt

This paper presents a learning-based framework for approximating an exact magnetic-field interaction model, supported by both numerical and experimental validation. High-fidelity magnetic-field interaction modeling is essential for…

Robotics · Computer Science 2026-04-24 Yuta Takahashi , Hayate Tajima , Shin-ichiro Sakai

Augmenting mechanistic ordinary differential equation (ODE) models with machine-learnable structures is an novel approach to create highly accurate, low-dimensional models of engineering systems incorporating both expert knowledge and…

Dynamical Systems · Mathematics 2022-06-22 Sandor Beregi , David A. W. Barton , Djamel Rezgui , Simon A. Neild

Tracing magnetic fields is crucial as magnetic fields play an important role in many astrophysical processes. Earlier studies have demonstrated that Ground State Alignment (GSA) is a unique way to detect weak magnetic fields (1G> B>…

Instrumentation and Methods for Astrophysics · Physics 2015-05-22 Heshou Zhang , Huirong Yan , Le Dong

A transient magneto-quasistatic vector potential formulation involving nonlinear material is spatially discretized using the finite element method of first and second polynomial order. By applying a generalized Schur complement the…

Computational Engineering, Finance, and Science · Computer Science 2020-11-09 Bernhard Kähne , Markus Clemens , Sebastian Schöps

A method is described to model the magnetic field in the vicinity of constellations of multiple satellites using field and plasma current measurements. This quadratic model has the properties that the divergence is zero everywhere and…

Accurately measuring magnetic fields is essential for magnetic-field sensitive experiments in fields like atomic, molecular, and optical physics, condensed matter experiments, and other areas. However, since many experiments are conducted…

Instrumentation and Detectors · Physics 2023-05-31 Ziting Chen , Kin To Wong , Bojeong Seo , Mingchen Huang , Mithilesh K. Parit , Haoting Zhen , Jensen Li , Gyu-Boong Jo

The detection and tracking of celestial surface terrain features are crucial for autonomous spaceflight applications, including Terrain Relative Navigation (TRN), Entry, Descent, and Landing (EDL), hazard analysis, and scientific data…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Timothy Chase , Karthik Dantu

Metric graphs are useful tools for describing spatial domains like road and river networks, where spatial dependence act along the network. We take advantage of recent developments for such Gaussian Random Fields (GRFs), and consider joint…

This paper developes a data-driven magnetostatic finite-element (FE) solver which directly exploits measured material data instead of a material curve constructed from it. The distances between the field solution and the measurement points…

Computational Physics · Physics 2020-06-16 Herbert De Gersem , Armin Galetzka , Ion Gabriel Ion , Dimitrios Loukrezis , Ulrich Römer

We suggest a novel approach for the efficient and reliable approximation of the Pareto front of sufficiently smooth unconstrained bi-criteria optimization problems. Optimality conditions formulated for weighted sum scalarizations of the…

Optimization and Control · Mathematics 2020-04-24 Matthias Bolten , Onur Tanil Doganay , Hanno Gottschalk , Kathrin Klamroth

Induced magnetic field (IMF)-based localization offers a robust alternative to wave-based positioning technologies due to its resilience to non-line-of-sight conditions, environmental dynamics, and wireless interference. However, existing…

Signal Processing · Electrical Eng. & Systems 2026-02-03 Qiushi Guo , Matthias Tschoepe , Mengxi Liu , Sizhen Bian , Paul Lukowicz

Trajectory modeling of dense points usually employs implicit deformation fields, represented as neural networks that map coordinates to relate canonical spatial positions to temporal offsets. However, the inductive biases inherent in neural…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Mingyang Song , Yang Zhang , Marko Mihajlovic , Siyu Tang , Markus Gross , Tunç Ozan Aydın
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