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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…

Numerical Analysis · Mathematics 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…

Applications · Statistics 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.…

General Relativity and Quantum Cosmology · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

Methodology · Statistics 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…

Robotics · Computer Science 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…

Social and Information Networks · Computer Science 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…

Computational Physics · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Cosmology and Nongalactic Astrophysics · Physics 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…

Astrophysics of Galaxies · Physics 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…

Machine Learning · Computer Science 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…

General Relativity and Quantum Cosmology · Physics 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…

Geophysics · Physics 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…

Computational Engineering, Finance, and Science · Computer Science 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.…

Optimization and Control · Mathematics 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…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Jinkai Zheng , Xinchen Liu , Boyue Zhang , Chenggang Yan , Jiyong Zhang , Wu Liu , Yongdong Zhang