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This paper proposes a new randomized strategy for adaptive MCMC using Bayesian optimization. This approach applies to non-differentiable objective functions and trades off exploration and exploitation to reduce the number of potentially…

Computation · Statistics 2011-11-01 Nimalan Mahendran , Ziyu Wang , Firas Hamze , Nando de Freitas

The characterization of an exoplanet's interior is an inverse problem, which requires statistical methods such as Bayesian inference in order to be solved. Current methods employ Markov Chain Monte Carlo (MCMC) sampling to infer the…

Earth and Planetary Astrophysics · Physics 2023-04-26 Jonas Haldemann , Victor Ksoll , Daniel Walter , Yann Alibert , Ralf S. Klessen , Willy Benz , Ullrich Koethe , Lynton Ardizzone , Carsten Rother

Recently, there has been a significant amount of interest in satellite telemetry anomaly detection (AD) using neural networks (NN). For AD purposes, the current approaches focus on either forecasting or reconstruction of the time series,…

Machine Learning · Computer Science 2022-11-29 Mohammad Amin Maleki Sadr , Yeying Zhu , Peng Hu

Beyond the choice of wavefront control systems or coronographs, advanced data processing methods play a crucial role in disentangling potential planetary signals from bright quasi-static speckles. Among these methods, angular differential…

Instrumentation and Methods for Astrophysics · Physics 2020-01-22 Carl-Henrik Dahlqvist , Faustine Cantalloube , Olivier Absil

PyMieDAP (the Python Mie Doubling-Adding Programme) is a Python--based tool for computing the total, linearly, and circularly polarized fluxes of incident unpolarized sun- or starlight that is reflected by, respectively, Solar System…

Earth and Planetary Astrophysics · Physics 2018-09-05 Loïc Rossi , Javier Berzosa-Molina , Daphne M. Stam

An alternative numerical method is developed to find stable and unstable periodic orbits of nonlinear dynamical systems. The method exploits the high-efficiency of the Levenberg-Marquardt algorithm for medium-sized problems and has the…

Chaotic Dynamics · Physics 2014-11-17 W. Dednam , A. E. Botha

Mutual independence is a key concept in statistics that characterizes the structural relationships between variables. Existing methods to investigate mutual independence rely on the definition of two competing models, one being nested into…

Machine Learning · Statistics 2023-08-09 Guillaume Marrelec , Alain Giron

A Bayesian approach is presented for detecting and characterising the signal from discrete objects embedded in a diffuse background. The approach centres around the evaluation of the posterior distribution for the parameters of the discrete…

Astrophysics · Physics 2009-11-07 M. P. Hobson , C. McLachlan

The goal of this thesis is twofold; introduce the fundamentals of Bayesian inference and computation focusing on astronomical and cosmological applications, and present recent advances in probabilistic computational methods developed by the…

Instrumentation and Methods for Astrophysics · Physics 2023-03-31 Minas Karamanis

This paper considers a new method for the binary asteroid orbit determination problem. The method is based on the Bayesian approach with a global optimisation algorithm. The orbital parameters to be determined are modelled through an a…

Instrumentation and Methods for Astrophysics · Physics 2017-08-31 Irina D. Kovalenko , Radu S. Stoica , Nikolay V. Emelyanov

(Sub-)millimetre single-dish telescopes feature faster mapping speeds and access larger spatial scales than their interferometric counterparts. However, atmospheric fluctuations tend to dominate their signals and complicate recovery of the…

Instrumentation and Methods for Astrophysics · Physics 2026-03-30 Jonas Würzinger , Joshiwa van Marrewijk , Thomas W. Morris , Richard Fuchs , Tony Mroczkowski , Lukas Heinrich

A Bayesian re-analysis of published radial velocity data sets is providing evidence for additional planetary candidates. The nonlinear model fitting is accomplished with a new hybrid Markov chain Monte Carlo (HMCMC) algorithm which…

Earth and Planetary Astrophysics · Physics 2009-02-13 P. C. Gregory

ArchNEMESIS is an open-source Python package developed for the analysis of remote sensing spectroscopic observations of planetary atmospheres. It is based on the widely used NEMESIS radiative transfer and retrieval tool, which has been…

Instrumentation and Methods for Astrophysics · Physics 2025-07-29 Juan Alday , Joseph Penn , Patrick G. J. Irwin , Jonathon P. Mason , Jingxuan Yang

In Bayesian statistics, many problems can be expressed as the evaluation of the expectation of a quantity of interest with respect to the posterior distribution. Standard Monte Carlo method is often not applicable because the encountered…

Computation · Statistics 2011-10-11 James L. Beck , Konstantin M. Zuev

Markov Chain Monte Carlo (MCMC) proves to be powerful for Bayesian inference and in particular for exoplanet radial velocity fitting because MCMC provides more statistical information and makes better use of data than common approaches like…

Instrumentation and Methods for Astrophysics · Physics 2014-01-30 Fengji Hou , Jonathan Goodman , David W. Hogg , Jonathan Weare , Christian Schwab

Bayesian nonparametric mixture models offer a rich framework for model based clustering. We consider the situation where the kernel of the mixture is available only up to an intractable normalizing constant. In this case, most of the…

Computation · Statistics 2021-12-21 Mario Beraha , Riccardo Corradin

We propose a Bayesian nonparametric mixture model for the reconstruction and prediction from observed time series data, of discretized stochastic dynamical systems, based on Markov Chain Monte Carlo methods (MCMC). Our results can be used…

Applications · Statistics 2017-10-03 Christos Merkatas , Konstantinos Kaloudis , Spyridon J. Hatjispyros

In this paper, we address the challenge of Markov Chain Monte Carlo (MCMC) algorithms within the approximate Bayesian Computation (ABC) framework, which often get trapped in local optima due to their inherent local exploration mechanism. We…

Computation · Statistics 2025-12-16 Xuefei Cao , Shijia Wang , Yongdao Zhou

cityseer-api is a Python package consisting of computational tools for fine-grained street-network and land-use analysis, helpful in assessing the morphological precursors to vibrant neighbourhoods. It is underpinned by network-based…

Social and Information Networks · Computer Science 2022-07-01 Gareth D. Simons

We present the scientific performance results of PynPoint, our Python-based software package that uses principle component analysis to detect and estimate the flux of exoplanets in two dimensional imaging data. Recent advances in adaptive…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Adam Amara , Sascha Quanz