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Natural gradients have been widely used in optimization of loss functionals over probability space, with important examples such as Fisher-Rao gradient descent for Kullback-Leibler divergence, Wasserstein gradient descent for…

数值分析 · 数学 2020-06-30 Lexing Ying

Dynamic behavior of traffic adversely affect the performance of the prediction models in intelligent transportation applications. This study applies Gaussian processes (GPs) to traffic speed prediction. Such predictions can be used by…

应用统计 · 统计学 2020-11-25 Gurcan Comert

The Unification of Conformal and Fuzzy gravities with Internal Interactions is based on the following two facts. The first is that the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions.…

广义相对论与量子宇宙学 · 物理学 2025-11-19 Gregory Patellis , Danai Roumelioti , Stelios Stefas , George Zoupanos

Recently, a gauge theory of unified gravity [Rep. Prog. Phys. 88, 057802 (2025)] has been developed to extend the Standard Model to include gravity. Here we present unified gravity using the ordinary four-vector and tensor field notation of…

广义相对论与量子宇宙学 · 物理学 2025-08-12 Mikko Partanen , Jukka Tulkki

The grade of membership model is a flexible latent variable model for analyzing multivariate categorical data through individual-level mixed membership scores. In many modern applications, auxiliary covariates are collected alongside…

统计方法学 · 统计学 2026-01-27 Zhiyu Xu , Yuqi Gu

Trajectory optimization (TO) aims to find a sequence of valid states while minimizing costs. However, its fine validation process is often costly due to computationally expensive collision searches, otherwise coarse searches lower the…

机器人学 · 计算机科学 2023-09-07 Yeseung Kim , Jinwoo Kim , Daehyung Park

We discuss the problem of extending data mining approaches to cases in which data points arise in the form of individual graphs. Being able to find the intrinsic low-dimensionality in ensembles of graphs can be useful in a variety of…

社会与信息网络 · 计算机科学 2016-12-12 Karthikeyan Rajendran , Assimakis A. Kattis , Alexander Holiday , Risi Kondor , Ioannis G. Kevrekidis

Approximations by Trefftz functions are rapidly gaining popularity in the numerical solution of boundary value problems of mathematical physics. By definition, these functions satisfy locally, in weak form, the underlying differential…

计算物理 · 物理学 2018-08-24 Igor Tsukerman , Shampy Mansha , Y. D. Chong , Vadim A. Markel

We present an approach to experimentally evaluate gravity gradient noise, a potentially limiting noise source in advanced interferometric gravitational wave (GW) detectors. In addition, the method can be used to provide sub-percent…

广义相对论与量子宇宙学 · 物理学 2008-11-26 L. Matone , P. Raffai , S. Marka , R. Grossman , P. Kalmus , Z. Marka , J. Rollins , V. Sannibale

Gravitational Waves (GWs) from the early universe and unresolved astrophysical sources are expected to create a stochastic GW background (SGWB). The GW radiometer algorithm is well suited to probe such a background using data from ground…

广义相对论与量子宇宙学 · 物理学 2015-09-23 Anirban Ain , Prathamesh Dalvi , Sanjit Mitra

Starting from the original Einstein action, sometimes called the Gamma squared action, we propose a new setup to formulate modified theories of gravity. This can yield a theory with second order field equations similar to those found in…

广义相对论与量子宇宙学 · 物理学 2021-07-14 Christian G. Boehmer , Erik Jensko

Video generators are increasingly evaluated as potential world models, which requires them to encode and understand physical laws. We investigate their representation of a fundamental law: gravity. Out-of-the-box video generators…

计算机视觉与模式识别 · 计算机科学 2025-12-02 Varun Varma Thozhiyoor , Shivam Tripathi , Venkatesh Babu Radhakrishnan , Anand Bhattad

A large fraction of cosmological information on dark energy and gravity is encoded in the nonlinear regime. Precision cosmology thus requires precision modeling of nonlinearities in general dark energy and modified gravity models. We modify…

宇宙学与河外天体物理 · 物理学 2014-11-20 Weiguang Cui , Pengjie Zhang , Xiaohu Yang

Magnetic fields are ubiquitous in the interstellar medium but are notoriously difficult to study through observation. Making use of the advances in our understanding of MHD turbulence and turbulent reconnection, the Velocity Gradient…

星系天体物理 · 物理学 2020-01-08 Yue Hu , Ka Ho Yuen , Alex Lazarian

As machine learning becomes more prominent there is a growing demand to perform several inference tasks in parallel. Running a dedicated model for each task is computationally expensive and therefore there is a great interest in multi-task…

机器学习 · 计算机科学 2024-05-14 Idan Achituve , Idit Diamant , Arnon Netzer , Gal Chechik , Ethan Fetaya

Mass redistribution on Earth due to dynamic processes such as ice melting and sea level rise leads to a changing gravitational field, observable by geodetic techniques. Monitoring this change over time allows us to learn more about our…

广义相对论与量子宇宙学 · 物理学 2025-03-13 Eva Hackmann , Moritz Huckfeldt , Claus Lämmerzahl , Dennis Philipp , Benny Rievers

In a previous paper, we introduced a framework for carrying out petrophysically and geologically guided geophysical inversions. In that framework, petrophysical and geological information is modelled with a Gaussian Mixture Model (GMM). In…

地球物理 · 物理学 2022-03-29 Thibaut Astic , Lindsey J. Heagy , Douglas W. Oldenburg

A multiscale model for real-time simulation of terrain dynamics is explored. To represent the dynamics on different scales the model combines the description of soil as a continuous solid, as distinct particles and as rigid multibodies. The…

计算工程、金融与科学 · 计算机科学 2021-05-18 Martin Servin , Tomas Berglund , Samuel Nystedt

Accelerated gradient descent iterations are widely used in optimization. It is known that, in the continuous-time limit, these iterations converge to a second-order differential equation which we refer to as the accelerated gradient flow.…

最优化与控制 · 数学 2020-06-16 Mohammad Farazmand

Existing studies for gait recognition primarily utilized sequences of either binary silhouette or human parsing to encode the shapes and dynamics of persons during walking. Silhouettes exhibit accurate segmentation quality and robustness to…

计算机视觉与模式识别 · 计算机科学 2024-11-19 Jinkai Zheng , Xinchen Liu , Boyue Zhang , Chenggang Yan , Jiyong Zhang , Wu Liu , Yongdong Zhang