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We present PopSED, a framework for the population-level inference of galaxy properties from photometric data. Unlike the traditional approach of first analyzing individual galaxies and then combining the results to determine the physical…

Instrumentation and Methods for Astrophysics · Physics 2023-12-21 Jiaxuan Li , Peter Melchior , ChangHoon Hahn , Song Huang

Bayesian predictive inference analyzes a dataset to make predictions about new observations. When a model does not match the data, predictive accuracy suffers. We develop population empirical Bayes (POP-EB), a hierarchical framework that…

Machine Learning · Statistics 2015-06-10 Alp Kucukelbir , David M. Blei

We present a Bayesian inference approach to estimating the cumulative mass profile and mean squared velocity profile of a globular cluster given the spatial and kinematic information of its stars. Mock globular clusters with a range of…

Astrophysics of Galaxies · Physics 2022-03-09 Gwendolyn M. Eadie , Jeremy J. Webb , Jeffrey S. Rosenthal

Neural posterior estimation (NPE), a type of amortized variational inference, is a computationally efficient means of constructing probabilistic catalogs of light sources from astronomical images. To date, NPE has not been used to perform…

Instrumentation and Methods for Astrophysics · Physics 2025-08-26 Aakash Patel , Tianqing Zhang , Camille Avestruz , Jeffrey Regier , the LSST Dark Energy Science Collaboration

In large venues like shopping malls and airports, knowledge on the indoor populations fuels applications such as business analytics, venue management, and safety control. In this work, we provide means of modeling populations in partitions…

Databases · Computer Science 2024-10-30 Xiao Li , Huan Li , Hua Lu , Christian S. Jensen

We describe an empirical Bayesian approach to determine the most likely size of an astronomical population of sources of which only a small subset are observed above some limiting flux density threshold. The method is most naturally applied…

Astrophysics of Galaxies · Physics 2015-06-17 P. J. Turk , D. R. Lorimer

I present a critical review of techniques for estimating confidence intervals on binomial population proportions inferred from success counts in small-to-intermediate samples. Population proportions arise frequently as quantities of…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Ewan Cameron

We present a Bayesian hierarchical framework to analyze photometric galaxy survey data with stellar population synthesis (SPS) models. Our method couples robust modeling of spectral energy distributions with a population model and a noise…

Instrumentation and Methods for Astrophysics · Physics 2023-01-18 Boris Leistedt , Justin Alsing , Hiranya Peiris , Daniel Mortlock , Joel Leja

We have developed a method for fast and accurate stellar population parameters determination in order to apply it to high resolution galaxy spectra. The method is based on an optimization technique that combines active learning with an…

Astrophysics · Physics 2010-11-11 Thamar Solorio , Olac Fuentes , Roberto Terlevich , Elena Terlevich

We develop a Bayesian model-based approach to finite population estimation accounting for spatial dependence. Our innovation here is a framework that achieves inference for finite population quantities in spatial process settings. A key…

Applications · Statistics 2019-11-22 Alec M. Chan-Golston , Sudipto Banerjee , Mark S. Handcock

The discovery of the first two macroscopic interstellar objects (ISOs) passing through the Solar System has opened entirely new perspectives in planetary science. The exploration of these objects offers a qualitatively new insight into the…

Earth and Planetary Astrophysics · Physics 2023-01-24 Dušan Marčeta

Since the early 1970s, stellar population modelling has been one of the basic tools for understanding the physics of unresolved systems from observation of their integrated light. Models allow us to relate the integrated spectra (or…

Instrumentation and Methods for Astrophysics · Physics 2013-12-03 Miguel Cerviño

We describe a Bayesian formalism for analyzing individual gravitational-wave events in light of the rest of an observed population. This analysis reveals how the idea of a "population-informed prior" arises naturally from a suitable…

General Relativity and Quantum Cosmology · Physics 2021-11-11 Christopher J. Moore , Davide Gerosa

In this article, we develop fully Bayesian, copula-based, spatial-statistical models for large, noisy, incomplete, and non-Gaussian spatial data. Our approach includes novel constructions of copulas that accommodate a spatial-random-effects…

Methodology · Statistics 2025-11-05 Alan Pearse , David Gunawan , Noel Cressie

Current analysis of astronomical data are confronted with the daunting task of modeling the awkward features of astronomical data, among which heteroscedastic (point-dependent) errors, intrinsic scatter, non-ignorable data collection…

Instrumentation and Methods for Astrophysics · Physics 2011-12-19 S. Andreon

Comparing population-synthesis models to the results of hierarchical Bayesian inference in gravitational-wave astronomy requires a careful understanding of the domain of validity of the models fitted to data. This comparison is usually done…

Many imaging techniques for biological systems -- like fixation of cells coupled with fluorescence microscopy -- provide sharp spatial resolution in reporting locations of individuals at a single moment in time but also destroy the dynamics…

Subcellular Processes · Quantitative Biology 2024-05-15 Christopher E. Miles , Scott A. McKinley , Fangyuan Ding , Richard B. Lehoucq

This paper introduces the Bayesian Inference Engine (BIE), a general parallel, optimised software package for parameter inference and model selection. This package is motivated by the analysis needs of modern astronomical surveys and the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Martin D. Weinberg

This review outlines concepts of mathematical statistics, elements of probability theory, hypothesis tests and point estimation for use in the analysis of modern astronomical data. Least squares, maximum likelihood, and Bayesian approaches…

Instrumentation and Methods for Astrophysics · Physics 2012-05-10 Eric D. Feigelson , G. Jogesh Babu

In this work we focus on the determination of the relative distributions of young, intermediate-age and old populations of stars in galaxies. Starting from a grid of theoretical population synthesis models we constructed a set of model…

Astrophysics · Physics 2007-05-23 Thamar Solorio , Olac Fuentes , Roberto Terlevich , Elena Terlevich , Sandro Bressan
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