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In the 20+ years of Doppler observations of stars, scientists have uncovered a diverse population of extrasolar multi-planet systems. A common technique for characterizing the orbital elements of these planets is Markov chain Monte Carlo…

Earth and Planetary Astrophysics · Physics 2015-06-18 Benjamin E. Nelson , Eric B. Ford , Matthew J. Payne

We present an improved, hybrid CPU-GPU atmospheric retrieval code, Helios-r2, which is applicable to medium-resolution emission spectra of brown dwarfs, in preparation for precision atmospheric spectroscopy in the era of the James Webb…

Earth and Planetary Astrophysics · Physics 2020-03-04 Daniel Kitzmann , Kevin Heng , Maria Oreshenko , Simon L. Grimm , Daniel Apai , Brendan P. Bowler , Adam J. Burgasser , Mark S. Marley

In this paper, we developed a spectral emulator based on the Mapping Nearby Galaxies at Apache Point Observatory Stellar Library (MaStar) and a grouping optimization strategy to estimate effective temperature (T_eff), surface gravity (log…

Solar and Stellar Astrophysics · Physics 2024-11-14 Jun-chao Liang , A-Li Luo , Yin-Bi Li , Xiao-Xiao Ma , Shuo Li , Shu-Guo Ma , Hai-Ling Lu , Yun-Jin Zhang , Bing Du , Xiao Kong

Spectral graph theory has been widely applied in unsupervised and semi-supervised learning. In this paper, we find for the first time, to our knowledge, that it also plays a concrete role in supervised classification. It turns out that two…

Machine Learning · Computer Science 2017-06-14 Zhenfang Hu , Gang Pan , Zhaohui Wu

Transit timing variations (TTVs) are a valuable tool to determine the masses and orbits of transiting planets in multi-planet systems. TTVs can be readily modeled given knowledge of the interacting planets' orbital configurations and…

Instrumentation and Methods for Astrophysics · Physics 2019-01-30 Noah W. Tuchow , Eric B. Ford , Theodore Papamarkou , Alexey Lindo

We present new MCMC algorithms for computing the posterior distributions and expectations of the unknown variables in undirected graphical models with regular structure. For demonstration purposes, we focus on Markov Random Fields (MRFs).…

Computation · Statistics 2012-07-19 Firas Hamze , Nando de Freitas

The sensitivity and spectral coverage of JWST is enabling us to test our assumptions of ultracool dwarf atmospheric chemistry, especially with regards to the abundances of phosphine (PH$_3$) and carbon dioxide (CO$_2$). In this paper, we…

Deterministic computational modeling of laser powder bed fusion (LPBF) process fails to capture irregularities and roughness of the scan track, unless expensive powder-scale analysis is used. In this work we developed a stochastic…

Computational Engineering, Finance, and Science · Computer Science 2022-08-08 Yangfan Li , Ye Lu , Abdullah Al Amin , Wing Kam Liu

We introduce a Markov Chain Monte Carlo (MCMC) method that is designed to sample from target distributions with irregular geometry using an adaptive scheme. In cases where targets exhibit non-Gaussian behaviour, we propose that adaption…

Computation · Statistics 2023-10-06 Ameer Dharamshi , Vivian Ngo , Jeffrey S. Rosenthal

White dwarfs represent the end stage for 97% of stars, making precise parameter measurement crucial for understanding stellar evolution. Traditional estimation methods involve fitting spectra or photometry, which require high-quality data.…

Solar and Stellar Astrophysics · Physics 2024-06-07 Duo Xie , Jiangchuan Zhang , Yude Bu , Zhenping Yi , Meng Liu , Xiaoming Kong

We present a new estimate of foreground emission in the WMAP data, using a Markov chain Monte Carlo (MCMC) method. The new technique delivers maps of each foreground component for a variety of foreground models, error estimates of the…

Ultracool dwarf stars and brown dwarfs provide a unique probe of large-scale Galactic structure and evolution; however, until recently spectroscopic samples of sufficient size, depth, and fidelity have been unavailable. Here, we present the…

We present a simple finite element formulation of mass-consistent approximation, and a fast multigrid iterative method with adaptive semicoarsening, which maintains the convergence of the iterations over a range of grids and penalty…

Numerical Analysis · Mathematics 2022-01-19 J. Mandel , A. Farguell , A. K. Kochanski , D. V. Mallia , K. Hilburn

Brown dwarfs are essential probes of stellar and planetary formation, yet their low luminosities pose challenges for detection at large Galactic distances. The James Webb Space Telescope (JWST), with its unprecedented near-infrared…

Solar and Stellar Astrophysics · Physics 2025-10-03 Zhijun Tu , Shu Wang , Xiaodian Chen , Jifeng Liu

Studies of Galactic chemical and dynamical evolution in the solar neighborhood depend on the availability of precise atmospheric parameters (Teff, [Fe/H] and log g) for solar-type stars. Many large-scale spectroscopic surveys operate at low…

We present a systematic study of the physical properties of late-M dwarfs based on high-quality dynamical mass measurements and near-infrared (NIR) spectra. We use astrometry from Keck NGS and LGS AO imaging to determine orbits for late-M…

Solar and Stellar Astrophysics · Physics 2015-05-19 Trent Dupuy , Michael Liu , Brendan Bowler , Michael Cushing , Christiane Helling , Soeren Witte , Peter Hauschildt

We present the Ultracool dwarf Science with MachIne LEarning (USMILE), a program developing machine-learning tools for the discovery and characterization of ultracool dwarfs. We introduce USMILE Avocado, a spectral classification framework…

Solar and Stellar Astrophysics · Physics 2025-10-21 Zhoujian Zhang , Yanxia Li

We have generated new, self-consistent spectral and atmosphere models for the effective temperature range 600 K to 1300 K thought to encompass the known T dwarfs. For the first time, theoretical models are compared with a {\it family} of…

The Monte Carlo with Absorbing Markov Chains (MCAMC) method is introduced. This method is a generalization of the rejection-free method known as the $n$-fold way. The MCAMC algorithm is applied to the study of the very low-temperature…

Statistical Mechanics · Physics 2009-11-07 M. A. Novotny