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We develop clustering procedures for longitudinal trajectories based on a continuous-time hidden Markov model (CTHMM) and a generalized linear observation model. Specifically in this paper, we carry out finite and infinite mixture…

Methodology · Statistics 2021-12-08 Yu Luo , David A. Stephens , David L. Buckeridge

In this work, we apply an exploratory joint Bayesian transit detector (Taaki et al. 2020), previously evaluated using Kepler data, to the 2 min simple aperture photometry light curve data in the continuous viewing zone for the Transiting…

Earth and Planetary Astrophysics · Physics 2025-04-29 Jamila S. Taaki , Athol J. Kemball , Farzad Kamalabadi

Based on the algorithm Informed Importance Tempering (IIT) proposed by Li et al. (2023) we propose an algorithm that uses an adaptive bounded balancing function. We argue why implementing parallel tempering where each replica uses a…

The search for extraterrestrial intelligence (SETI) is to search for technosignatures associated with extraterrestrial life, such as engineered radio signals. In this paper, we apply the multibeam coincidence matching (MBCM) strategy, and…

The search of high-order periodic orbits has been typically restricted to problems with symmetries that help to reduce the dimension of the search space. Well-known examples include reversible maps with symmetry lines. The present work…

Dynamical Systems · Mathematics 2021-04-28 Renato Calleja , Diego del-Castillo-Negrete , David Martinez-del-Rio , Arturo Olvera

We propose a direct imaging method for the detection of exoplanets based on a combined low-rank plus structured sparse model. For this task, we develop a dictionary of possible effective circular trajectories a planet can take during the…

Instrumentation and Methods for Astrophysics · Physics 2023-01-18 Simon Vary , Hazan Daglayan , Laurent Jacques , Pierre-Antoine Absil

Stellar spectral classification according to the Morgan-Keenan (MK) system remains fundamental to astrophysical studies, yet modern surveys require automated, scalable tools. We present NutMaat, an open-source Python-based package inspired…

Solar and Stellar Astrophysics · Physics 2025-08-19 R. I. El-Kholy , Z. M. Hayman

In performing a Bayesian analysis, two difficult problems often emerge. First, in estimating the parameters of some model for the data, the resulting posterior distribution may be multi-modal or exhibit pronounced (curving) degeneracies.…

Instrumentation and Methods for Astrophysics · Physics 2013-12-20 F. Feroz , J. Skilling

ParaMonte::Python (standing for Parallel Monte Carlo in Python) is a serial and MPI-parallelized library of (Markov Chain) Monte Carlo (MCMC) routines for sampling mathematical objective functions, in particular, the posterior distributions…

Mathematical Software · Computer Science 2020-10-05 Amir Shahmoradi , Fatemeh Bagheri , Joshua Alexander Osborne

Bayesian model selection provides the cosmologist with an exacting tool to distinguish between competing models based purely on the data, via the Bayesian evidence. Previous methods to calculate this quantity either lacked general…

Astrophysics · Physics 2008-11-26 J. R. Shaw , M. Bridges , M. P. Hobson

Bayesian model selection enables comparison and ranking of conceptual subsurface models described by spatial prior models, according to the support provided by available geophysical data. Deep generative neural networks can efficiently…

Geophysics · Physics 2021-05-19 M. Amaya , N. Linde , E. Laloy

We describe a new iteration method to estimate asteroid coordinates, which is based on the subpixel Gaussian model of a discrete object image. The method operates by continuous parameters (asteroid coordinates) in a discrete observational…

Module for ab initio structure evolution (MAISE) is an open-source package for materials modeling and prediction. The code's main feature is an automated generation of neural network (NN) interatomic potentials for use in global structure…

Computational Physics · Physics 2020-10-26 Samad Hajinazar , Aidan Thorn , Ernesto D. Sandoval , Saba Kharabadze , Aleksey N. Kolmogorov

Leaving posterior sensitivity concerns aside, non-identifiability of the parameters does not raise a difficulty for Bayesian inference as far as the posterior is proper, but multi-modality or flat regions of the posterior induced by the…

Econometrics · Economics 2025-12-22 Toru Kitagawa , Yizhou Kuang

We propose a Bayesian approach to the problem of multi-reference alignment -- the recovery of signals from noisy, randomly shifted observations. While existing frequentist methods accurately recover the signal at arbitrarily low…

Signal Processing · Electrical Eng. & Systems 2025-10-15 Axel Janson , Joakim Andén

Many scientific and engineering problems require to perform Bayesian inferences in function spaces, in which the unknowns are of infinite dimension. In such problems, many standard Markov Chain Monte Carlo (MCMC) algorithms become arbitrary…

Numerical Analysis · Mathematics 2016-04-12 Zhe Feng , Jinglai Li

Astrometric discovery of sub-stellar mass companions orbiting stars is exceedingly hard due to the required sub-milliarcsecond precision, limiting the application of this technique to only a few instruments on a target-per-target basis as…

Earth and Planetary Astrophysics · Physics 2023-06-21 B. Holl , A. Sozzetti , J. Sahlmann , P. Giacobbe , D. Ségransan , N. Unger , J. B. Delisle , D. Barbato , M. G. Lattanzi , R. Morbidelli , D. Sosnowska

The Pseudo-Marginal (PM) algorithm is a popular Markov chain Monte Carlo (MCMC) method used to sample from a target distribution when its density is inaccessible, but can be estimated with a non-negative unbiased estimator. Its performance…

Computation · Statistics 2025-09-30 Sarra Abaoubida , Mylène Bédard , Florian Maire

Neutron reflectometry (NR) is a powerful technique to probe surfaces and interfaces. NR is inherently an indirect measurement technique, access to the physical quantities of interest (layer thickness, scattering length density, roughness),…

Markov chain Monte Carlo (MCMC) methods allow to sample a distribution known up to a multiplicative constant. Classical MCMC samplers are known to have very poor mixing properties when sampling multimodal distributions. The Equi-Energy…

Statistics Theory · Mathematics 2013-02-05 Amandine Schreck , Gersende Fort , Eric Moulines
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