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We study the estimation of the latent variable Gaussian graphical model (LVGGM), where the precision matrix is the superposition of a sparse matrix and a low-rank matrix. In order to speed up the estimation of the sparse plus low-rank…

机器学习 · 统计学 2017-03-01 Pan Xu , Jian Ma , Quanquan Gu

The Gaussian Process Latent Variable Model (GP-LVM) is a non-linear probabilistic method of embedding a high dimensional dataset in terms low dimensional `latent' variables. In this paper we illustrate that maximum a posteriori (MAP)…

机器学习 · 统计学 2013-07-02 James Barrett , Anthony C. C. Coolen

We focus on the fact that light-pulse atom interferometers measure the atoms' acceleration with only three data points per drop. As a result, the measured effect of the gravity gradient is systematically larger than the true one, an error…

原子物理 · 物理学 2020-02-19 Anna M. Nobili , Alberto Anselmi , Raffaello Pegna

We present an underground long baseline atom interferometer to study gravity at large scale. The hybrid atom-laser antenna will use several atom interferometers simultaneously interrogated by the resonant mode of an optical cavity. The…

We evaluate the sensitivity of a dual cloud atom interferometer to the measurement of vertical gravity gradient. We study the influence of most relevant experimental parameters on noise and long-term drifts. Results are also applied to the…

量子物理 · 物理学 2015-06-18 F. Sorrentino , Q. Bodart , L. Cacciapuoti , Y. -H. Lien , M. Prevedelli , G. Rosi , L. Salvi , G. M. Tino

An analytical expression for the gravitational field of a homogeneous cylinder is derived. The phase of the atom interferometer produced by the gravity field of the set of cylinders has been calculated. The optimal values of the initial…

原子物理 · 物理学 2020-02-11 B. Dubetsky

The experimental verification of the quantum nature of gravity represents a milestone in quantum gravity research. Recently, interest has grown for testing it via gravitationally induced entanglement (GIE). Here, we propose a space-based…

广义相对论与量子宇宙学 · 物理学 2025-10-15 Nobuyuki Matsumoto , Katsuta Sakai , Kosei Hatakeyama , Kiwamu Izumi , Daisuke Miki , Satoshi Iso , Akira Matsumura , Kazuhiro Yamamoto

The purpose of this paper is to propose the implementation of some methods from algebraic geometry in the theory of gravitation, and more especially in the variational formalism. It has been assumed that the metric tensor depends on two…

广义相对论与量子宇宙学 · 物理学 2007-05-23 B. G. Dimitrov

Cold-atom inertial sensors target several applications in navigation, geoscience and tests of fundamental physics. Reaching high sampling rates and high inertial sensitivities, obtained with long interrogation times, represents a challenge…

原子物理 · 物理学 2019-01-09 D. Savoie , M. Altorio , B. Fang , L. A. Sidorenkov , R. Geiger , A. Landragin

In this article we present a new family of high order accurate Arbitrary Lagrangian-Eulerian one-step WENO finite volume schemes for the solution of stiff hyperbolic balance laws. High order accuracy in space is obtained with a standard…

数值分析 · 数学 2014-11-24 Michael Dumbser , Ariunaa Uuriintsetseg , Olindo Zanotti

Additive or multiplicative stationary noise recently became an important issue in applied fields such as microscopy or satellite imaging. Relatively few works address the design of dedicated denoising methods compared to the usual white…

计算机视觉与模式识别 · 计算机科学 2013-07-18 Jérôme Fehrenbach , Pierre Weiss

We present a source engineering concept for a binary quantum mixture suitable as input for differential, precision atom interferometry with drift times of several seconds. To solve the non-linear dynamics of the mixture, we develop a set of…

We present the Mixed Likelihood Gaussian process latent variable model (GP-LVM), capable of modeling data with attributes of different types. The standard formulation of GP-LVM assumes that each observation is drawn from a Gaussian…

机器学习 · 计算机科学 2018-11-20 Samuel Murray , Hedvig Kjellström

One of the major limitations of atomic gravimeters is represented by the vibration noise of the measurement platform, which cannot be distinguished from the relevant acceleration signal. We demonstrate a new method to perform an atom…

原子物理 · 物理学 2019-06-05 G. D'Amico , L. Cacciapuoti , M. Jain , S. Zhan , G. Rosi

Matter-wave interferometers have fundamental applications for gravity experiments such as testing the equivalence principle and the quantum nature of gravity. In addition, matter-wave interferometers can be used as quantum sensors to…

广义相对论与量子宇宙学 · 物理学 2023-05-30 Meng-Zhi Wu , Marko Toroš , Sougato Bose , Anupam Mazumdar

In this work we study the influence of the newtonian noise on atom interferometers applied to the detection of gravitational waves, and we compute the resulting limits to the sensitivity in two different configurations: a single atom…

广义相对论与量子宇宙学 · 物理学 2013-10-17 Flavio Vetrano , Andrea Viceré

We develop flexible methods of deriving variational inference for models with complex latent variable structure. By splitting the variables in these models into "global" parameters and "local" latent variables, we define a class of…

统计计算 · 统计学 2019-04-23 Linda S. L. Tan , Aishwarya Bhaskaran , David J. Nott

Latent Gaussian Models (LGMs) are a subset of Bayesian Hierarchical models where Gaussian priors, conditional on variance parameters, are assigned to all effects in the model. LGMs are employed in many fields for their flexibility and…

统计方法学 · 统计学 2025-01-28 Luisa Ferrari , Massimo Ventrucci

The simulation of dense fermionic matters is a long-standing problem in lattice gauge theory. One hopeful solution would be the use of quantum computers. In this paper, digital quantum simulation is designed for lattice gauge theory at…

高能物理 - 格点 · 物理学 2021-07-14 Arata Yamamoto