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Successful modern generalized gradient approximations (GGA) are biased toward atomic energies. Restoration of the first-principles gradient expansion for the exchange energy over a wide range of density gradients eliminates this bias. We…

Imaging Earth structure or seismic sources from seismic data involves minimizing a target misfit function, and is commonly solved through gradient-based optimization. The adjoint-state method has been developed to compute the gradient…

计算物理 · 物理学 2021-04-28 Weiqiang Zhu , Kailai Xu , Eric Darve , Gregory C. Beroza

A simple geometrical model is presented for the gravity-driven motion of a single particle on a rough inclined surface. Adopting a simple restitution law for the collisions between the particle and the surface, we arrive at a model in which…

软凝聚态物质 · 物理学 2009-10-31 Giovani L. Vasconcelos , J. J. P. Veerman

The detection of binary neutron star mergers represents one of the most important astrophysical discoveries of the recent years. Due to the extreme matter and gravity conditions and the rich dynamics developed, it becomes a tremendous…

广义相对论与量子宇宙学 · 物理学 2020-07-01 Daniele Viganò , Ricard Aguilera-Miret , Federico Carrasco , Borja Miñano , Carlos Palenzuela

In this paper we show how the covariant gauge invariant equations for the evolution of scalar, vector and tensor perturbations for a generic $f(R)$-gravity theory can be recast in order to exploit the power of dynamical system methodology.…

天体物理学 · 物理学 2008-12-12 Sante Carloni , Kishore N. Ananda , Peter K. S. Dunsby , Mohamed E. S. Abdelwahab

The starting assumptions to study the convergence and complexity of gradient-type methods may be the smoothness (also called Lipschitz continuity of gradient) and the strong convexity. In this note, we revisit these two basic properties…

最优化与控制 · 数学 2021-11-01 Lu Zhang , Jiani Wang , Hui Zhang

Understanding the principles of geophysical phenomena is an essential and challenging task. "Model-driven" approaches have supported the development of geophysics for a long time; however, such methods suffer from the curse of…

地球物理 · 物理学 2020-09-30 Siwei Yu , Jianwei Ma

The aim of this review is to discuss the ways to obtain results based on gravity with higher derivatives in D-dimensional world. We considered the following ways: (1) reduction to scalar tensor gravity, (2) direct solution of the equations…

广义相对论与量子宇宙学 · 物理学 2023-04-20 Sergey G. Rubin , Arkadiy Popov , P. M. Petryakova

Gradient descent algorithms have been used in countless applications since the inception of Newton's method. The explosion in the number of applications of neural networks has re-energized efforts in recent years to improve the standard…

机器学习 · 计算机科学 2020-10-30 Chad Kelterborn , Marcin Mazur , Bogdan V. Petrenko

Some approaches to $2d$ gravity developed for the last years are reviewed. They are physical (Liouville) gravity, topological theories and matrix models. A special attention is paid to matrix models and their interrelations with different…

高能物理 - 理论 · 物理学 2011-04-15 A. Mironov

Variational approaches to disparity estimation typically use a linearised brightness constancy constraint, which only applies in smooth regions and over small distances. Accordingly, current variational approaches rely on a schedule to…

图像与视频处理 · 电气工程与系统科学 2024-05-28 James L. Gray , Aous T. Naman , David S. Taubman

Absolute gravimeters deliver drift-free, high-precision measurements but are typically bulky and difficult to deploy, whereas relative gravimeters are lightweight and mobile but intrinsically limited by time-dependent drift. We demonstrate…

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…

统计方法学 · 统计学 2025-12-01 Karina Lilleborge , Sara Martino , Geir-Arne Fuglstad , Finn Lindgren , Rikke Ingebrigtsen

Geophysics testing has always been the most available and affordable information for large scale mineral exploration. This paper uses the geophysics conditions of recent mines to build a model on ore locations. The model will also provide…

In this paper, the inherent gradient flow structures of thermo-poro-visco-elastic processes in porous media are examined for the first time. In the first part, a modelling framework is introduced aiming for describing such processes as…

Modern feed-forward 3D reconstruction methods like VGGT predict pixel-aligned pointmaps in camera-centric coordinate frames. However, this choice of coordinate frame is not always optimal. We propose instead to predict pointmaps in upright,…

计算机视觉与模式识别 · 计算机科学 2026-05-27 Bharath Raj Nagoor Kani , Noah Snavely

The interaction between gravitational and electromagnetic radiation has a rather long research history. It is well known, in particular, that gravity-wave distortions can drive propagating electromagnetic signals. Since forced oscillations…

广义相对论与量子宇宙学 · 物理学 2011-09-13 Christos G. Tsagas

We present results obtained from a finite-element simulation of seismic displacement fields and of gravity gradients generated by those fields. The displacement field is constructed by a plane wave model with a 3D isotropic stochastic field…

广义相对论与量子宇宙学 · 物理学 2013-05-29 Jan Harms , Riccardo DeSalvo , Steven Dorsher , Vuk Mandic

In most risk assessment studies, it is important to accurately capture the entire distribution of the multivariate random vector of interest from low to high values. For example, in climate sciences, low precipitation events may lead to…

统计方法学 · 统计学 2025-09-09 Noura Alotaibi , Matthew Sainsbury-Dale , Philippe Naveau , Carlo Gaetan , Raphaël Huser