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The existence of cross-over resonances makes saturated-absorption spectra very complicated when external magnetic field B is applied. It is demonstrated for the first time that the use of micrometric-thin cells (MTC, $L\approx40\,\mu$m)…

With the advent of deep photometric surveys the use of photometric redshifts, obtained with a variety of techniques, has become more and more widespread. Giving access to galaxies with a wide range of luminosities out to high redshifts,…

Astrophysics · Physics 2009-11-13 Ralf Kotulla , Uta Fritze

By facilitating the generation of samples from arbitrary probability distributions, Markov Chain Monte Carlo (MCMC) is, arguably, \emph{the} tool for the evaluation of Bayesian inference problems that yield non-standard posterior…

Computation · Statistics 2021-05-27 Peter L Green , Robert E Moore , Ryan J Jackson , Jinglai Li , Simon Maskell

Sequential Monte Carlo (SMC) methods are not only a popular tool in the analysis of state space models, but offer an alternative to MCMC in situations where Bayesian inference must proceed via simulation. This paper introduces a new SMC…

Computation · Statistics 2010-05-11 Paul Fearnhead , Benjamin M. Taylor

Markov chain Monte Carlo (MCMC) is a powerful methodology for the approximation of posterior distributions. However, the iterative nature of MCMC does not naturally facilitate its use with modern highly parallel computation on HPC and cloud…

The use of Immersed Gratings offers advantages for both space- and ground-based spectrographs. As diffraction takes place inside the high-index medium, the optical path difference and angular dispersion are boosted proportionally, thereby…

Instrumentation and Methods for Astrophysics · Physics 2015-10-16 Michiel Rodenhuis , Paul J. J. Tol , Tonny H. M. Coppens , Phillip P. Laubert , Aaldert H. van Amerongen

Understanding stochastic gradient descent (SGD) and its variants is essential for machine learning. However, most of the preceding analyses are conducted under amenable conditions such as unbiased gradient estimator and bounded objective…

Machine Learning · Statistics 2024-03-26 Tianyou Li , Fan Chen , Huajie Chen , Zaiwen Wen

Application of fitting techniques to obtain physical parameters---such as ages, metallicities, and $\alpha$-element to iron ratios---of stellar populations is an important approach to understand the nature of both galaxies and globular…

Astrophysics of Galaxies · Physics 2016-12-14 Zhou Fan , Richard de Grijs , Bingqiu Chen , Linhua Jiang , Fuyan Bian , Zhongmu Li

Sophisticated spectral energy distribution (SED) models describe dust attenuation and emission using geometry parameters. This treatment is natural since dust effects are driven by the underlying star-dust geometry in galaxies. An example…

Astrophysics of Galaxies · Physics 2022-12-28 Yisheng Qiu , Xi Kang , Yu Luo

Flexible district heating grids form an important part of future, low-carbon energy systems. We examine probabilistic state estimation in such grids, i.e., we aim to estimate the posterior probability distribution over all grid state…

Machine Learning · Computer Science 2023-05-26 Andreas Bott , Tim Janke , Florian Steinke

The spectral energy distributions (SEDs) of dusty high-redshift galaxies are poorly sampled in frequency and spatially unresolved. Their form is crucially important for estimating the large luminosities of these galaxies accurately, for…

Astrophysics · Physics 2009-11-07 Andrew W. Blain , V. E. Barnard , Scott C. Chapman

We develop a modular approach to Markov chain Monte Carlo (MCMC) sampling for unnormalized target densities. In this approach, Markov chains are constructed in parallel, each constrained to a subset of the target space. The Monte Carlo…

Computation · Statistics 2026-05-05 Joonha Park

Analyses of serially-sampled data often begin with the assumption that the observations represent discrete samples from a latent continuous-time stochastic process. The continuous-time Markov chain (CTMC) is one such generative model whose…

Applications · Statistics 2009-10-12 Asger Hobolth , Eric A. Stone

Theoretical spectral energy distributions (SEDs) of white dwarfs provide a powerful tool for cross-calibration and sensitivity control of instruments from the far infrared to the X-ray energy range. Such SEDs can be calculated from fully…

Solar and Stellar Astrophysics · Physics 2012-10-30 T. Rauch

We introduce a new Markov Chain Monte Carlo (MCMC) algorithm with parallel tempering for fitting theoretical models of horizon-scale images of black holes to the interferometric data from the Event Horizon Telescope (EHT). The algorithm…

Instrumentation and Methods for Astrophysics · Physics 2020-05-20 Dimitrios Psaltis , Feryal Ozel , Lia Medeiros , Pierre Christian , Junhan Kim , Chi-kwan Chan , Landen J. Conway , Carolyn A. Raithel , Dan Marrone , Tod R. Lauer

The use of the Bayesian tools in system identification and model updating paradigms has been increased in the last ten years. Usually, the Bayesian techniques can be implemented to incorporate the uncertainties associated with measurements…

Computational Engineering, Finance, and Science · Computer Science 2017-10-27 M. Sherri , I. Boulkaibet , T. Marwala , M. I. Friswell

We first conceive a novel transmission protocol for a multi-relay multiple-input--multiple-output orthogonal frequency-division multiple-access (MIMO-OFDMA) cellular network based on joint transmit and receive beamforming. We then address…

Information Theory · Computer Science 2015-03-04 Kent Tsz Kan Cheung , Shaoshi Yang , Lajos Hanzo

We present spectral energy distributions (SEDs) of 41 active galactic nuclei, derived from multiwavelength photometry and archival spectroscopy. All of the SEDs span at least 0.09 to 30 micron, but in some instances wavelength coverage…

Astrophysics of Galaxies · Physics 2019-09-25 M. J. I. Brown , K. J. Duncan , H. Landt , M. Kirk , C. Ricci , N. Kamraj , M. Salvato , T. Ananna

Bayesian inference using Markov Chain Monte Carlo (MCMC) on large datasets has developed rapidly in recent years. However, the underlying methods are generally limited to relatively simple settings where the data have specific forms of…

Methodology · Statistics 2020-02-18 Robert Salomone , Matias Quiroz , Robert Kohn , Mattias Villani , Minh-Ngoc Tran

Segmenting images of low quality or with missing data is a challenging problem. Integrating statistical prior information about the shapes to be segmented can improve the segmentation results significantly. Most shape-based segmentation…

Computer Vision and Pattern Recognition · Computer Science 2016-11-14 Ertunc Erdil , Sinan Yıldırım , Müjdat Çetin , Tolga Taşdizen
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