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The generalized linear mixed model (GLMM) is widely used for analyzing correlated data, particularly in large-scale biomedical and social science applications. Scalable Bayesian inference for GLMMs is challenging because the marginal…

Computation · Statistics 2026-01-07 Samuel I. Berchuck , Youngsoo Baek , Felipe A. Medeiros , Andrea Agazzi

With the launch and application of next-generation ground- and space-based telescopes, astronomy has entered the era of big data, necessitating more efficient and robust data analysis methods. Most traditional parameter estimation methods…

Astrophysics of Galaxies · Physics 2026-02-18 Zihao Wang , Tao Wang , Ke Xu , Hanwen Sun , Ruining Tian , Qi Hao

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 propose a generic Markov Chain Monte Carlo (MCMC) algorithm to speed up computations for datasets with many observations. A key feature of our approach is the use of the highly efficient difference estimator from the survey sampling…

Methodology · Statistics 2017-08-03 Matias Quiroz , Mattias Villani , Robert Kohn

Fitting the spectral energy distributions (SEDs) of galaxies is an almost universally used technique that has matured significantly in the last decade. Model predictions and fitting procedures have improved significantly over this time,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 C. J. Walcher , B. Groves , T. Budavari , D. Dale

Photometric redshifts of galaxies obtained by multi-wavelength data are widely used in photometric surveys because of its high efficiency. Although various methods have been developed, template fitting is still adopted as one of the most…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-11 Yicheng Li , Liping Fu , Zhu Chen , Zhijian Luo , Wei Du , Yan Gong , Xianmin Meng , Junhao Lu , Zhirui Tang , Pengfei Chen , Shaohua Zhang , Chenggang Shu , Xingchen Zhou , Zuhui Fan

We compare the results of the mark correlation analysis of galaxies in a sample from the Sloan Digital Sky Survey and from two galaxy catalogs obtained by semi-analytical galaxy formation models implemented on the Millennium Simulation. We…

Astrophysics · Physics 2009-11-13 Abilio Mateus , Raul Jimenez , Enrique Gaztanaga

Obtaining reliable, matched photometry for galaxies imaged by different observatories represents a key challenge in the era of wide-field surveys spanning more than several hundred square degrees. Methods such as flux fitting, profile…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 Kevin Bundy , David W. Hogg , Tim D. Higgs , Robert C. Nichol , Naoki Yasuda , Karen L. Masters , Dustin Lang , David A. Wake

For large matrix factorisation problems, we develop a distributed Markov Chain Monte Carlo (MCMC) method based on stochastic gradient Langevin dynamics (SGLD) that we call Parallel SGLD (PSGLD). PSGLD has very favourable scaling properties…

This paper introduces the R package sgmcmc; which can be used for Bayesian inference on problems with large datasets using stochastic gradient Markov chain Monte Carlo (SGMCMC). Traditional Markov chain Monte Carlo (MCMC) methods, such as…

Computation · Statistics 2018-04-16 Jack Baker , Paul Fearnhead , Emily B. Fox , Christopher Nemeth

We apply the spectral energy distribution (SED) fitting code ProSpect to multiwavelength imaging for $\sim$7,000 galaxies from the GAMA survey at $z<0.06$, in order to extract their star formation histories. We combine a parametric…

We present an original simulation-based method to estimate likelihood ratios efficiently for general state-space models. Our method relies on a novel use of the conditional Sequential Monte Carlo (cSMC) algorithm introduced in…

Methodology · Statistics 2018-09-10 Sinan Yıldırım , Christophe Andrieu , Arnaud Doucet

We propose a very fast approximate Markov Chain Monte Carlo (MCMC) sampling framework that is applicable to a large class of sparse Bayesian inference problems, where the computational cost per iteration in several models is of order…

Computation · Statistics 2021-08-17 Yves Atchadé , Liwei Wang

We describe a novel approach to accelerating Monte Carlo Markov Chains. Our focus is cosmological parameter estimation, but the algorithm is applicable to any problem for which the likelihood surface is a smooth function of the free…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Adam Bouland , Richard Easther , Katherine Rosenfeld

Despite decreasing cosmic star formation rate density over the last 10 Gyr, the stellar mass ($M_{*}$) buildups in galaxies were still progressing during this epoch. About 50\% of the current $M_{*}$ density in the universe was built over…

Astrophysics of Galaxies · Physics 2019-02-22 Abdurro'uf , Masayuki Akiyama

Large, sparse linear systems are pervasive in modern science and engineering, and Krylov subspace solvers are an established means of solving them. Yet convergence can be slow for ill-conditioned matrices, so practical deployments usually…

The configuration model is a standard tool for uniformly generating random graphs with a specified degree sequence, and is often used as a null model to evaluate how much of an observed network's structure can be explained by its degree…

Social and Information Networks · Computer Science 2023-05-31 Upasana Dutta , Bailey K. Fosdick , Aaron Clauset

We propose Subsampling MCMC, a Markov Chain Monte Carlo (MCMC) framework where the likelihood function for $n$ observations is estimated from a random subset of $m$ observations. We introduce a highly efficient unbiased estimator of the…

Methodology · Statistics 2018-12-31 Matias Quiroz , Robert Kohn , Mattias Villani , Minh-Ngoc Tran

Derivation of physical properties of galaxies using spectral energy distribution (SED) fitting is a powerful method, but can suffer from various systematics arising from model assumptions. Previously, such biases were mostly studied in the…

Astrophysics of Galaxies · Physics 2022-04-27 Katherine Zine , Samir Salim

Convergence analysis is a fundamental research topic in evolutionary computation (EC). The commonly used analysis method models the EC algorithm as a homogeneous Markov chain for analysis, which is not always suitable for different EC…

Neural and Evolutionary Computing · Computer Science 2025-05-08 Liu-Yue Luo , Zhi-Hui Zhan , Kay Chen Tan , Jun Zhang