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Some statistical models are specified via a data generating process for which the likelihood function cannot be computed in closed form. Standard likelihood-based inference is then not feasible but the model parameters can be inferred by…

统计计算 · 统计学 2015-02-20 Michael U. Gutmann , Jukka Corander , Ritabrata Dutta , Samuel Kaski

We present a new inference method based on approximate Bayesian computation for estimating parameters governing an entire network based on link-traced samples of that network. To do this, we first take summary statistics from an observed…

统计计算 · 统计学 2017-01-17 Jack Davis , Steven K. Thompson

Approximate Bayesian Computation (ABC) has gained popularity as a method for conducting inference and forecasting in complex models, most notably those which are intractable in some sense. In this paper we use ABC to produce probabilistic…

统计方法学 · 统计学 2023-11-03 Chaya Weerasinghe , Ruben Loaiza-Maya , Gael M. Martin , David T. Frazier

We study the class of state-space models and perform maximum likelihood estimation for the model parameters. We consider a stochastic approximation expectation-maximization (SAEM) algorithm to maximize the likelihood function with the…

统计计算 · 统计学 2017-10-25 Umberto Picchini , Adeline Samson

The frequentist method of simulated minimum distance (SMD) is widely used in economics to estimate complex models with an intractable likelihood. In other disciplines, a Bayesian approach known as Approximate Bayesian Computation (ABC) is…

统计方法学 · 统计学 2017-11-16 Jean-Jacques Forneron , Serena Ng

We research relations between optimal transport theory (OTT) and approximate Bayesian computation (ABC) possibly connected to relevant metrics defined on probability measures. Those of ABC are computational methods based on Bayesian…

统计理论 · 数学 2021-05-06 Marco Tarsia , Antonietta Mira , Daniele Cassani

Approximate Bayesian Computation is a family of likelihood-free inference techniques that are well-suited to models defined in terms of a stochastic generating mechanism. In a nutshell, Approximate Bayesian Computation proceeds by computing…

统计计算 · 统计学 2010-07-28 Michael Blum

Approximate Bayesian computation (ABC) has advanced in two decades from a seminal idea to a practically applicable inference tool for simulator-based statistical models, which are becoming increasingly popular in many research domains. The…

Adopting the framework of the Halo Occupation Distribution (HOD), we investigate the ability of galaxy clustering measurements to simultaneously constrain cosmological parameters and galaxy bias. Starting with a fiducial cosmological model…

天体物理学 · 物理学 2008-11-26 Zheng Zheng , David H. Weinberg

Approximate Bayesian Computation (ABC) are likelihood-free Monte Carlo methods. ABC methods use a comparison between simulated data, using different parameters drew from a prior distribution, and observed data. This comparison process is…

机器学习 · 统计学 2015-03-31 Carlos D. Zuluaga , Edgar A. Valencia , Mauricio A. Álvarez

A central statistical goal is to choose between alternative explanatory models of data. In many modern applications, such as population genetics, it is not possible to apply standard methods based on evaluating the likelihood functions of…

统计计算 · 统计学 2013-02-25 Dennis Prangle , Paul Fearnhead , Murray P. Cox , Patrick J. Biggs , Nigel P. French

We build a simple analytical model for the bias of dark matter halos that applies to objects defined by an arbitrary density threshold, $200\leq\deltas\leq 1600$, and that provides accurate predictions from low-mass to high-mass halos. We…

宇宙学与河外天体物理 · 物理学 2015-05-19 Patrick Valageas

We present a Bayesian reconstruction algorithm to generate unbiased samples of the underlying dark matter field from halo catalogues. Our new contribution consists of implementing a non-Poisson likelihood including a deterministic…

宇宙学与河外天体物理 · 物理学 2015-06-22 Metin Ata , Francisco-Shu Kitaura , Volker Müller

The spatial distribution of massive and luminous galaxies have provided important constraints on the fundamental cosmological parameters and physical processes governing galaxy formation. In this work, we construct and compare independent…

宇宙学与河外天体物理 · 物理学 2025-10-15 Zhongxu Zhai , Andrew Benson , Yun Wang

We present a physically motivated semi-analytic model to understand the clustering of high redshift LBGs. We show that the model parameters constrained by the observed luminosity function, can be used to predict large scale (\theta > 80…

宇宙学与河外天体物理 · 物理学 2015-06-11 Charles Jose , Kandaswamy Subramanian , Raghunathan Srianand , Saumyadip Samui

The physical scale corresponding to baryon acoustic oscillations (BAO), the size of the sound horizon at recombination, is precisely determined by CMB experiments. Measuring the apparent size of the BAO scale imprinted in the clustering of…

宇宙学与河外天体物理 · 物理学 2022-08-29 Ivana Babić , Fabian Schmidt , Beatriz Tucci

Many real-life problems are represented as a black-box, i.e., the internal workings are inaccessible or a closed-form mathematical expression of the likelihood function cannot be defined. For continuous random variables likelihood-free…

机器学习 · 统计学 2020-10-21 Ilze Amanda Auzina , Jakub M. Tomczak

It is common practice for methods that use galaxy clustering to constrain the galaxy-halo relationship, such as the halo occupation distribution (HOD) and/or conditional luminosity function (CLF), to assume that halo mass alone suffices to…

宇宙学与河外天体物理 · 物理学 2015-02-11 Andrew R. Zentner , Andrew P. Hearin , Frank C. van den Bosch

We develop a novel method to explore the galaxy-halo connection using the galaxy imaging surveys by modeling the projected two-point correlation function measured from the galaxies with reasonable photometric redshift measurements. By…

宇宙学与河外天体物理 · 物理学 2019-07-17 Zhaoyu Wang , Haojie Xu , Xiaohu Yang , Y. P. Jing , Hong Guo , Zheng Zheng , Ying Zu , Zhigang Li , Chengze Liu

We consider the problem of approximate Bayesian parameter inference in non-linear state-space models with intractable likelihoods. Sequential Monte Carlo with approximate Bayesian computations (SMC-ABC) is one approach to approximate the…

统计计算 · 统计学 2017-06-14 Johan Dahlin , Mattias Villani , Thomas B. Schön