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Regularization method and Bayesian inverse method are two dominating ways for solving inverse problems generated from various fields, e.g., seismic exploration and medical imaging. The two methods are related with each other by the MAP…

数值分析 · 数学 2019-06-18 Junxiong Jia , Qihang Sun , Bangyu Wu , Jigen Peng

We report on the first observation of nonlinear Faraday rotation with cold atoms at a temperature of ~100 uK. The observed nonlinear rotation of the light polarization plane is up to 0.1 rad over the 1 mm size atomic cloud in approximately…

原子物理 · 物理学 2015-05-14 Adam Wojciechowski , Eric Corsini , Jerzy Zachorowski , Wojciech Gawlik

A method for the semiclassical quantization of chaotic maps is proposed, which is based on harmonic inversion. The power of the technique is demonstrated for the baker's map as a prototype example of a chaotic map.

混沌动力学 · 物理学 2009-11-07 K. Weibert , J. Main , G. Wunner

We report the development of new terahertz techniques for rapidly measuring the complex Faraday angle in systems with broken time-reversal symmetry using the cyclotron resonance of a GaAs two-dimensional electron gas in a magnetic field as…

材料科学 · 物理学 2015-06-03 D. K. George , A. V. Stier , C. T. Ellis , B. D. McCombe , J. Černe , A. G. Markelz

It is common in pose graph optimization (PGO) algorithms to assume that noise in the translations and rotations of relative pose measurements is uncorrelated. However, existing work shows that in practice these measurements can be highly…

最优化与控制 · 数学 2025-07-01 William D. Warke , J. Humberto Ramos , Prashant Ganesh , Kevin M. Brink , Matthew T. Hale

We describe here an iterative method for jointly estimating the noise power spectrum from a scanning experiment's time-ordered data, together with the maximum-likelihood map. We test the robustness of this method on simulated datasets with…

天体物理学 · 物理学 2007-05-23 S. Prunet , C. B. Netterfield , E. Hivon , B. P. Crill

We consider the problem of determination of a magnetic field from three dimensional polarimetric neutron tomography data. We see that this is an example of a non-Abelian ray transform and that the problem has a globally unique solution for…

偏微分方程分析 · 数学 2019-10-21 Naeem M. Desai , William R. B. Lionheart , Morten Sales , Markus Strobl , Søren Schmidt

The polarization tomography problem consists of recovering a matrix function f from the fundamental matrix of the equation $D\eta/dt=\pi_{\dot\gamma}f\eta$ known for every geodesic $\gamma$ of a given Riemannian metric. Here…

数学物理 · 物理学 2009-11-13 Roman Novikov , Vladimir Sharafutdinov

This paper is on learning the Kalman gain by policy optimization method. Firstly, we reformulate the finite-horizon Kalman filter as a policy optimization problem of the dual system. Secondly, we obtain the global linear convergence of…

最优化与控制 · 数学 2023-10-30 Haoran Li , Yuan-Hua Ni

Inverse problems use physical measurements along with a computational model to estimate the parameters or state of a system of interest. Errors in measurements and uncertainties in the computational model lead to inaccurate estimates. This…

数值分析 · 数学 2015-02-02 Vishwas Rao , Adrian Sandu

Generalised Faraday rotation can induce frequency-dependent conversion between the linear and circular polarisation spectra of compact radio sources such as pulsars, fast radio bursts and active galactic nuclei. I devise a simple…

高能天体物理现象 · 物理学 2021-08-24 Marcus E. Lower

In this article, we consider the decoding problem of affine Grassmann codes over nonbinary fields. We use matrices of different ranks to construct a large set consisting of parity checks of affine Grassmann codes, which are orthogonal with…

信息论 · 计算机科学 2025-07-15 Fernando Piñero González , Prasant Singh , Rohit Yadav

We develop two algorithms, based on maximum likelihood (ML) inference, for estimating the parameters of polarized radio sources which emit at a single rotation measure (RM), e.g., pulsars. These algorithms incorporate the flux density…

天体物理仪器与方法 · 物理学 2017-10-25 D. H. F. M. Schnitzeler , K. J. Lee

In this paper, we propose a way to model the resilience of the Iterative Closest Point (ICP) algorithm in the presence of corrupted measurements. In the context of autonomous vehicles, certifying the safety of the localization process poses…

机器人学 · 计算机科学 2024-01-03 Johann Laconte , Daniil Lisus , Timothy D. Barfoot

Numerical simulations offer the unique possibility to forecast the results of surveys and targeted observations that will be performed with next generation instruments like the Square Kilometre Array. In this paper, we investigate for the…

星系天体物理 · 物理学 2019-02-27 F. Loi , M. Murgia , F. Govoni , V. Vacca , I. Prandoni , A. Bonafede , L. Feretti

The existence of a primordial magnetic field at the last scattering surface may induce a measurable Faraday rotation in the polarization of the cosmic microwave background. We calculate the magnitude of this effect by evolving the radiative…

天体物理学 · 物理学 2009-10-28 Abraham Loeb , Arthur Kosowsky

Faraday tomography is thought to be a powerful tool to explore cosmic magnetic field. Broadband radio polarimetric data is essential to ensure the quality of Faraday tomography, but such data is not easy to obtain because of radio frequency…

天体物理仪器与方法 · 物理学 2018-12-05 Takuya Akahori , Shinsuke Ideguchi , Takahiro Aoki , Kazuhiro Takefuji , Hideki Ujihara , Keitaro Takahashi

Spaceborne gravity gradients are proposed in this paper to provide autonomous orbit determination capabilities for near Earth satellites. The gravity gradients contain useful position information which can be extracted by matching the…

天体物理仪器与方法 · 物理学 2017-01-13 Xiucong Sun , Pei Chen , Christophe Macabiau , Chao Han

In this investigation we focus on the problem of mapping the ground reflectivity with multiple laser scanners mounted on mobile robots/vehicles. The problem originates because regions of the ground become populated with a varying number of…

计算机视觉与模式识别 · 计算机科学 2017-03-10 Juan Castorena

Due to the robustness in sensing, radar has been highlighted, overcoming harsh weather conditions such as fog and heavy snow. In this paper, we present a novel radar-only place recognition that measures the similarity score by utilizing…

机器人学 · 计算机科学 2023-07-11 Hyesu Jang , Minwoo Jung , Ayoung Kim