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For classical discrete system under constant composition typically referred to substitutional alloys, we examine local nonlinearity in canonical average phi . We have respectively investigated the local and global behavior of nonlinearity…

Statistical Mechanics · Physics 2021-09-29 Koretaka Yuge

Boundary value problems on the unit sphere arise naturally in geophysics and oceanography when scientists model a physical quantity on large scales. Robust numerical methods play an important role in solving these problems. In this article,…

Numerical Analysis · Mathematics 2016-10-21 Quoc Thong Le Gia

Recently, Graph Neural Network based Force Field (GNNFF) models are widely used in Molecular Dynamics (MD) simulation, which is one of the most cost-effective means in semiconductor material research. However, even such models provide high…

Machine Learning · Computer Science 2025-02-19 Yujie Zeng , Wenlong He , Ihor Vasyltsov , Jiaxin Wei , Ying Zhang , Lin Chen , Yuehua Dai

The nonlinear curvature wavefront sensor (nlCWFS) has been shown to be a promising alternative to existing wavefront sensor designs. Theoretical studies indicate that the inherent sensitivity of this device could offer up to a factor of 10…

Instrumentation and Methods for Astrophysics · Physics 2022-09-02 Stanimir Letchev , Jonathan Crass , Justin R. Crepp , Sam Potier

We performed two data-based magnetohydrodynamic (MHD) simulations for solar active region 12371 which produced an M6.5 flare. The first simulation is a full data-driven simulation where the initial condition is given by a nonlinear…

Solar and Stellar Astrophysics · Physics 2023-03-01 Satoshi Inoue , Keiji Hayashi , Takahiro Miyoshi , Ju Jing , Haimin Wang

We have performed a systematic study of the statistical behavior of non-Poissonian template fitting (NPTF), a method designed to analyze and characterize unresolved point sources in general counts datasets. In this paper, we focus on the…

Instrumentation and Methods for Astrophysics · Physics 2023-05-24 Luis Gabriel C. Bariuan , Tracy R. Slatyer

[..] The change in the magnetic configuration due to the increase/decrease of electric current for different force-free models (potential, linear and nonlinear force-free fields) has never been studied in detail before. Here we focus…

Solar and Stellar Astrophysics · Physics 2015-05-28 S. Regnier

We test the effects of varying the cosmological parameter values used in the strong lens modeling process for the six Hubble Frontier Fields (HFF) galaxy clusters. The standard procedure for generating high fidelity strong lens models…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-27 Matthew B. Bayliss , Keren Sharon , Traci Johnson

Kernel methods are an incredibly popular technique for extending linear models to non-linear problems via a mapping to an implicit, high-dimensional feature space. While kernel methods are computationally cheaper than an explicit feature…

Machine Learning · Statistics 2019-02-26 Philip Milton , Emanuele Giorgi , Samir Bhatt

Functional magnetic resonance imaging (fMRI) data contain complex spatiotemporal dynamics, thus researchers have developed approaches that reduce the dimensionality of the signal while extracting relevant and interpretable dynamics. Models…

Computer Vision and Pattern Recognition · Computer Science 2022-05-30 Eloy Geenjaar , Amrit Kashyap , Noah Lewis , Robyn Miller , Vince Calhoun

Classification of remotely sensed images into land cover or land use is highly dependent on geographical information at least at two levels. First, land cover classes are observed in a spatially smooth domain separated by sharp region…

Image and Video Processing · Electrical Eng. & Systems 2018-08-27 Devis Tuia , Michele Volpi , Gabriele Moser

General relativistic force-free electrodynamics is one possible plasma-limit employed to analyze energetic outflows in which strong magnetic fields are dominant over all inertial phenomena. The amazing images of black hole shadows from the…

Computational Physics · Physics 2021-03-09 J. F. Mahlmann , M. A. Aloy , V. Mewes , P. Cerdá-Durán

For a better understanding of magnetic field in the solar corona and dynamic activities such as flares and coronal mass ejections, it is crucial to measure the time-evolving coronal field and accurately estimate the magnetic energy.…

Solar and Stellar Astrophysics · Physics 2020-02-26 Shin Toriumi , Shinsuke Takasao , Mark C. M. Cheung , Chaowei Jiang , Yang Guo , Keiji Hayashi , Satoshi Inoue

Solving the wave equation is one of the most (if not the most) fundamental problems we face as we try to illuminate the Earth using recorded seismic data. The Helmholtz equation provides wavefield solutions that are dimensionally reduced,…

Geophysics · Physics 2021-06-04 Tariq Alkhalifah , Chao Song , Umair bin Waheed , Qi Hao

We study a fourth-order derivative scalar field configuration in a fixed Lifshitz background. Using an auxiliary field we rewrite the equations of motion as two coupled second order equations. We specialize to the limit that the mass of the…

High Energy Physics - Theory · Physics 2015-05-28 Eric A. Bergshoeff , Sjoerd de Haan , Wout Merbis , Jan Rosseel

Nonlinear dimensionality reduction embeddings computed from datasets do not provide a mechanism to compute the inverse map. In this paper, we address the problem of computing a stable inverse map to such a general bi-Lipschitz map. Our…

Numerical Analysis · Mathematics 2013-11-06 Nathan D. Monnig , Bengt Fornberg , Francois G. Meyer

Deformable image registration is a fundamental task in medical image processing. Traditional optimization-based methods often struggle with accuracy in dealing with complex deformation. Recently, learning-based methods have achieved good…

Image and Video Processing · Electrical Eng. & Systems 2025-03-04 Lei Zhou , Nimu Yuan , Katjana Ehrlich , Jinyi Qi

Optical observations of solar corona provide key information on its magnetic geometry. The large-scale open field of the corona plays an important role in shaping the ambient solar wind and constraining the propagation dynamics of the…

Solar and Stellar Astrophysics · Physics 2025-06-19 Vadim M. Uritsky , Christopher E. Rura , Cooper Downs , Shaela I. Jones , Charles Nickolos Arge , Nathalia Alzate

Understanding the complex dynamics and structure of the upper solar atmosphere benefits strongly from the use of a combination of several diagnostics. Frequently, such diverse diagnostics can only be obtained from telescopes and/or…

Solar and Stellar Astrophysics · Physics 2019-11-13 J. de la Cruz Rodríguez

As industrial products become abundant and sophisticated, visual industrial defect detection receives much attention, including two-dimensional and three-dimensional visual feature modeling. Traditional methods use statistical analysis,…

Computer Vision and Pattern Recognition · Computer Science 2025-02-28 Tianle Yang , Luyao Chang , Jiadong Yan , Juntao Li , Zhi Wang , Ke Zhang