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This study presents a fast nonlinear programming algorithm for low-thrust multi-asteroid rendezvous missions. The core contribution is the derivation of analytical formulations for both first- and second-order gradients of low-thrust…

Instrumentation and Methods for Astrophysics · Physics 2026-04-22 An-Yi Huang , Ya-Zhong Luo

Exoplanet atmospheric retrieval is a computational technique widely used to infer properties of planetary atmospheres from remote spectroscopic observations. Retrieval codes typically employ Bayesian sampling algorithms or machine learning…

Earth and Planetary Astrophysics · Physics 2023-03-24 Ryan J. MacDonald , Natasha E. Batalha

In many hierarchical inverse problems, not only do we want to estimate high- or infinite-dimensional model parameters in the parameter-to-observable maps, but we also have to estimate hyperparameters that represent critical assumptions in…

Computation · Statistics 2020-02-18 Johnathan Bardsley , Tiangang Cui

Informed Markov chain Monte Carlo (MCMC) methods have been proposed as scalable solutions to Bayesian posterior computation on high-dimensional discrete state spaces, but theoretical results about their convergence behavior in general…

Computation · Statistics 2022-02-01 Quan Zhou , Aaron Smith

We present a novel algorithm that is based on a Bayesian Markov Chain Monte Carlo (MCMC) technique for performing robust profile analysis of a data cube from either single-dish or interferometric radio telescopes. It fits a set of models…

Astrophysics of Galaxies · Physics 2019-05-22 Se-Heon Oh , Lister Staveley-Smith , Bi-Qing For

In the context of nonparametric Bayesian estimation a Markov chain Monte Carlo algorithm is devised and implemented to sample from the posterior distribution of the drift function of a continuously or discretely observed one-dimensional…

Computation · Statistics 2017-06-08 Frank van der Meulen , Moritz Schauer , Harry van Zanten

EXONEST is an algorithm dedicated to detecting and characterizing the photometric signatures of exoplanets, which include reflection and thermal emission, Doppler boosting, and ellipsoidal variations. Using Bayesian Inference, we can test…

Earth and Planetary Astrophysics · Physics 2015-06-17 Ben Placek , Kevin H. Knuth , Daniel Angerhausen

Machine learning is now used in many areas of astrophysics, from detecting exoplanets in Kepler transit signals to removing telescope systematics. Recent work demonstrated the potential of using machine learning algorithms for atmospheric…

Many inference problems involve inferring the number $N$ of components in some region, along with their properties $\{\mathbf{x}_i\}_{i=1}^N$, from a dataset $\mathcal{D}$. A common statistical example is finite mixture modelling. In the…

Computation · Statistics 2015-01-15 Brendon J. Brewer

If an orbit is fitted from combined RV and astrometric data, the orbit should be physically consistent with both data sets. The Keplerian orbit of a planet is a highly nonlinear function of seven parameters. The astrometric orbit problem…

Earth and Planetary Astrophysics · Physics 2010-08-23 Joseph H. Catanzarite

In the context of high-quality asteroseismic data provided by the NASA Kepler mission, we developed a new code, termed Diamonds (high-DImensional And multi-MOdal NesteD Sampling), for fast Bayesian parameter estimation and model comparison…

Instrumentation and Methods for Astrophysics · Physics 2015-10-21 Enrico Corsaro , Joris De Ridder

The inference of physical parameters from measured distributions constitutes a core task in physics data analyses. Among recent deep learning methods, so-called conditional invertible neural networks provide an elegant approach owing to…

Instrumentation and Methods for Astrophysics · Physics 2022-03-14 Teresa Bister , Martin Erdmann , Ullrich Köthe , Josina Schulte

We announce the public release of PynPoint, a Python package that we have developed for analysing exoplanet data taken with the angular differential imaging observing technique. In particular, PynPoint is designed to model the point spread…

Earth and Planetary Astrophysics · Physics 2014-05-15 Adam Amara , Sascha P. Quanz , Joel Akeret

Tau-REx (Tau Retrieval of Exoplanets) is a novel, fully Bayesian atmospheric retrieval code custom built for extrasolar atmospheres. In Waldmann et al. (2015) the transmission spectroscopic case was introduced, here we present the emission…

Earth and Planetary Astrophysics · Physics 2015-10-28 Ingo P. Waldmann , Marco Rocchetto , Giovanna Tinetti , Emma J. Barton , Sergey N. Yurchenko , Jonathan Tennyson

Given the complexity of modern cosmological parameter inference where we are faced with non-Gaussian data and noise, correlated systematics and multi-probe correlated data sets, the Approximate Bayesian Computation (ABC) method is a…

Instrumentation and Methods for Astrophysics · Physics 2017-03-08 Elise Jennings , Maeve Madigan

Most applications of Bayesian Inference for parameter estimation and model selection in astrophysics involve the use of Monte Carlo techniques such as Markov Chain Monte Carlo (MCMC) and nested sampling. However, these techniques are time…

Instrumentation and Methods for Astrophysics · Physics 2022-01-26 Geetakrishnasai Gunapati , Anirudh Jain , P. K. Srijith , Shantanu Desai

We introduce a stable, well tested Python implementation of the affine-invariant ensemble sampler for Markov chain Monte Carlo (MCMC) proposed by Goodman & Weare (2010). The code is open source and has already been used in several published…

Instrumentation and Methods for Astrophysics · Physics 2013-11-26 Daniel Foreman-Mackey , David W. Hogg , Dustin Lang , Jonathan Goodman

We present an approach for utilizing astrometric orbit information to improve the yield of planetary images and spectra from a follow-on direct detection mission. This approach is based on the notion-strictly hypothetical-that if a…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 John M. Davidson

We present a novel approach to the minor planet linking problem. Our heliocentric transformation-and-propagation algorithm clusters tracklets at common epochs, allowing for the efficient identification of tracklets that represent the same…

Earth and Planetary Astrophysics · Physics 2018-05-08 Matthew J. Holman , Matthew J. Payne , Paul Blankley , Ryan Janssen , Scott Kuindersma

The coalescence of binary neutron stars are one of the main sources of gravitational waves for ground-based gravitational wave detectors. As Bayesian inference for binary neutron stars is computationally expensive, more efficient and faster…

General Relativity and Quantum Cosmology · Physics 2019-11-20 Yann Bouffanais , Edward K. Porter
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