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The kernel trick concept, formulated as an inner product in a feature space, facilitates powerful extensions to many well-known algorithms. While the kernel matrix involves inner products in the feature space, the sample covariance matrix…

统计计算 · 统计学 2017-07-20 Tomer Lancewicki

context: The combination of image restoration and a Fabry-P\'{e}rot interferometer (FPI) based instrument in solar observations results in specific calibration issues. FPIs generally show variations over the field-of-view, while in the…

太阳与恒星天体物理 · 物理学 2015-05-20 R. S. Schnerr , J. de la Cruz Rodriguez , M. van Noort

This work introduces a sampling method capable of solving Bayesian inverse problems in function space. It does not assume the log-concavity of the likelihood, meaning that it is compatible with nonlinear inverse problems. The method…

机器学习 · 统计学 2024-05-27 Lorenzo Baldassari , Ali Siahkoohi , Josselin Garnier , Knut Solna , Maarten V. de Hoop

Accurate estimates of the horizontal electric field on the Sun's visible surface are important not only for estimating the Poynting flux of magnetic energy into the corona but also for driving time-dependent magnetohydrodynamic models of…

太阳与恒星天体物理 · 物理学 2017-02-22 A. R. Yeates

Electromagnetic Inverse Scattering Problems (EISP) have gained wide applications in computational imaging. By solving EISP, the internal relative permittivity of the scatterer can be non-invasively determined based on the scattered…

计算机视觉与模式识别 · 计算机科学 2024-07-15 Ziyuan Luo , Boxin Shi , Haoliang Li , Renjie Wan

We present a new finite-sample analysis of M-estimators of locations in $\mathbb{R}^d$ using the tool of the influence function. In particular, we show that the deviations of an M-estimator can be controlled thanks to its influence function…

统计理论 · 数学 2022-08-23 Timothée Mathieu

Using a simple model based on the characteristics of sunspots and faculae in solar active regions, the effects of surface brightness inhomogeneities on the position of the photocentre of the disk of a solar-like, magnetically active star,…

天体物理学 · 物理学 2008-11-26 A. F. Lanza , C. De Martino , M. Rodono'

The aim of this work is to investigate rotation profile of solar-like stars with magnetic fields. A diffusion coefficient of magnetic angular momentum transport is deduced. Rotating stellar models with different mass are computed under the…

天体物理学 · 物理学 2008-12-23 Wuming Yang , Shaolan Bi

We consider how upcoming photometric large scale structure surveys can be optimized to measure the properties of dark energy and possible cosmic scale modifications to General Relativity in light of realistic astrophysical and instrumental…

宇宙学与河外天体物理 · 物理学 2017-03-08 Donnacha Kirk , Istvan Laszlo , Sarah Bridle , Rachel Bean

The irradiance of the Sun is modulated on all time scales. Small-scale solar magnetic elements composed of quiet-Sun network and active region plages contribute to this modulation on solar cycle time scales. The evaluation of their contrast…

太阳与恒星天体物理 · 物理学 2021-09-02 Fatima Kahil

Radiative transfer coupled with highly realistic simulations of the solar atmosphere is routinely used to infer the physical properties underlying solar observations. Due to its computational efficiency, the method of short-characteristics…

太阳与恒星天体物理 · 物理学 2018-04-17 Courtney L. Peck , Serena Criscuoli , Mark P. Rast

In this paper I present three new results of astronomical interest concerning the theory of Abel inversion. 1) I show that in the case of a spatial emissivity that is constant on toroidal surfaces and projected along the symmetry axis…

天体物理学 · 物理学 2007-05-23 L. Ciotti

A generalization of the S-parameter retrieval method for finite three-dimensional inhomogeneous objects under arbitrary illumination and observation conditions is presented. The effective permittivity of such objects may be rigorously…

经典物理 · 物理学 2010-02-12 Shreyas B. Raghunathan , Neil V. Budko

An approach is introduced for incorporating the concept of stellar pollution into stellar evolution models. The approach involves enhancing the metal content of the surface layers of stellar models. In addition, the surface layers of stars…

天体物理学 · 物理学 2009-11-10 Aaron Dotter , Brian Chaboyer

Stratification in both the design and analysis of randomized clinical trials is common. Despite features in automated randomization systems to re-confirm the stratifying variables, incorrect values of these variables may be entered. These…

统计方法学 · 统计学 2023-07-24 Neal Thomas

Strong gravitational lensing has significantly advanced the study of high-redshift galaxies, but the differential magnification effect inevitably introduces biases in the spectral analysis of source galaxies. This work investigates these…

星系天体物理 · 物理学 2025-01-20 Wenshuo Xu , Dandan Xu , Xinzhong Er , Junqiang Ge

Stars are not smooth. Their photosphere is covered by a granulation pattern associated with the heat transport by convection. The convection-related surface structures have different size, depth, and temporal variations with respect to the…

太阳与恒星天体物理 · 物理学 2016-09-28 A. Chiavassa , L. Bigot

In a large class of statistical inverse problems it is necessary to suppose that the transformation that is inverted is known. Although, in many applications, it is unrealistic to make this assumption, the problem is often insoluble without…

统计理论 · 数学 2008-12-18 Aurore Delaigle , Peter Hall , Alexander Meister

When using valid foreground and signal models, the uncertainties on extracted signals in global 21-cm signal experiments depend principally on the overlap between signal and foreground models. In this paper, we investigate two strategies…

天体物理仪器与方法 · 物理学 2020-07-22 Keith Tauscher , David Rapetti , Jack O. Burns

Image splicing is a common form of image forgery. Such alterations may leave no visual clues of tampering. In recent works camera characteristics consistency across the image has been used to establish the authenticity and integrity of…

计算机视觉与模式识别 · 计算机科学 2011-05-25 H. R. Chennamma , Lalitha Rangarajan
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