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We propose a novel use of a recent new computational tool for Bayesian inference, namely the Approximate Bayesian Computation (ABC) methodology. ABC is a way to handle models for which the likelihood function may be intractable or even…

统计计算 · 统计学 2014-03-04 Clara Grazian , Brunero Liseo

Comparisons between observed and predicted strong lensing properties of galaxy clusters have been routinely used to claim either tension or consistency with $\Lambda$CDM cosmology. However, standard approaches to such cosmological tests are…

We propose a posterior for Bayesian Likelihood-Free Inference (LFI) based on generalized Bayesian inference. To define the posterior, we use Scoring Rules (SRs), which evaluate probabilistic models given an observation. In LFI, we can…

统计方法学 · 统计学 2024-09-24 Lorenzo Pacchiardi , Sherman Khoo , Ritabrata Dutta

Obtaining accurately calibrated redshift distributions of photometric samples is one of the great challenges in photometric surveys like LSST, Euclid, HSC, KiDS, and DES. We present an inference methodology that combines the redshift…

宇宙学与河外天体物理 · 物理学 2021-12-09 M. M. Rau , C. B. Morrison , S. J. Schmidt , S. Wilson , R. Mandelbaum , Y. Y. Mao

Many areas of science rely on simulators that implicitly encode intractable likelihood functions of complex systems. Classical statistical methods are poorly suited for these so-called likelihood-free inference (LFI) settings, especially…

机器学习 · 统计学 2024-11-28 Niccolò Dalmasso , Luca Masserano , David Zhao , Rafael Izbicki , Ann B. Lee

We present a blind method to determine the properties of a foreground contamination, given by a visibility mask, that affects a deep galaxy survey. Angular cross correlations of density fields in different redshift bins are expected to…

宇宙学与河外天体物理 · 物理学 2019-04-24 Pierluigi Monaco , Enea Di Dio , Emiliano Sefusatti

Approximate Bayesian Computation (ABC) is a useful class of methods for Bayesian inference when the likelihood function is computationally intractable. In practice, the basic ABC algorithm may be inefficient in the presence of discrepancy…

统计理论 · 数学 2015-05-14 Stefano Cabras , Maria Eugenia Castellanos Nueda , Erlis Ruli

Likelihood-free inference (LFI) has been successfully applied to state-space models, where the likelihood of observations is not available but synthetic observations generated by a black-box simulator can be used for inference instead.…

机器学习 · 计算机科学 2023-02-21 Alexander Aushev , Thong Tran , Henri Pesonen , Andrew Howes , Samuel Kaski

Both Approximate Bayesian Computation (ABC) and composite likelihood methods are useful for Bayesian and frequentist inference, respectively, when the likelihood function is intractable. We propose to use composite likelihood score…

统计计算 · 统计学 2015-02-25 Erlis Ruli , Nicola Sartori , Laura Ventura

Approximate Bayesian computation (ABC) is one of the most popular "likelihood-free" methods. These methods have been applied in a wide range of fields by providing solutions to intractable likelihood problems in which exact Bayesian…

统计方法学 · 统计学 2025-04-08 Chaya Weerasinghe , David T. Frazier , Ruben Loaiza-Maya , Christopher Drovandi

The number density of galaxy clusters across mass and redshift has been established as a powerful cosmological probe. Cosmological analyses with galaxy clusters traditionally employ scaling relations. However, many challenges arise from…

宇宙学与河外天体物理 · 物理学 2025-01-08 M. Kosiba , N. Cerardi , M. Pierre , F. Lanusse , C. Garrel , N. Werner , M. Shalak

We present simulation-based cosmological $w$CDM inference using Dark Energy Survey Year 3 weak-lensing maps, via neural data compression of weak-lensing map summary statistics: power spectra, peak counts, and direct map-level…

A maximum likelihood methodology for a general class of models is presented, using an approximate Bayesian computation (ABC) approach. The typical target of ABC methods are models with intractable likelihoods, and we combine an ABC-MCMC…

统计方法学 · 统计学 2016-08-16 Umberto Picchini , Rachele Anderson

Motivated by parametric models for which the likelihood is analytically unavailable, numerically unstable, or prohibitively expensive to compute or optimize, we develop a prior- and likelihood-free framework for fully probabilistic…

统计方法学 · 统计学 2026-03-17 Leonardo Cella , Emily C. Hector

Composite likelihood provides approximate inference when the full likelihood is intractable and sub-likelihood functions of marginal events can be evaluated relatively easily. It has been successfully applied for many complex models.…

统计方法学 · 统计学 2024-09-05 Wentao Li , Rosabeth White , Dennis Prangle

This chapter will appear in the forthcoming Handbook of Approximate Bayesian Computation (2018). The conceptual and methodological framework that underpins approximate Bayesian computation (ABC) is targetted primarily towards problems in…

统计计算 · 统计学 2018-03-20 Christopher C Drovandi , Clara Grazian , Kerrie Mengersen , Christian Robert

Gibbs random fields (GRF) are polymorphous statistical models that can be used to analyse different types of dependence, in particular for spatially correlated data. However, when those models are faced with the challenge of selecting a…

The Lyman-alpha forest provides strong constraints on both cosmological parameters and intergalactic medium astrophysics, which are forecast to improve further with the next generation of surveys including eBOSS and DESI. As is generic in…

宇宙学与河外天体物理 · 物理学 2019-02-19 Keir K. Rogers , Hiranya V. Peiris , Andrew Pontzen , Simeon Bird , Licia Verde , Andreu Font-Ribera

Also known as likelihood-free methods, approximate Bayesian computational (ABC) methods have appeared in the past ten years as the most satisfactory approach to untractable likelihood problems, first in genetics then in a broader spectrum…

统计计算 · 统计学 2015-03-17 Jean-Michel Marin , Pierre Pudlo , Christian P. Robert , Robin Ryder

Multifidelity approximate Bayesian computation (MF-ABC) is a likelihood-free technique for parameter inference that exploits model approximations to significantly increase the speed of ABC algorithms (Prescott and Baker, 2020). Previous…

统计计算 · 统计学 2021-12-23 Thomas P. Prescott , Ruth E. Baker