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Stochastic approximation Monte Carlo (SAMC) has recently been proposed by Liang, Liu and Carroll [J. Amer. Statist. Assoc. 102 (2007) 305--320] as a general simulation and optimization algorithm. In this paper, we propose to improve its…

Statistics Theory · Mathematics 2009-08-26 Faming Liang

Ordinal categorical data are routinely encountered in many practical applications. When the primary goal is to construct a regression model for ordinal outcomes, cumulative link models represent one of the most popular choices to link the…

Methodology · Statistics 2026-03-13 Emanuele Aliverti

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…

There is increasing interest to develop Bayesian inferential algorithms for point process models with intractable likelihoods. A purpose of this paper is to illustrate the utility of using simulation based strategies, including Approximate…

Computation · Statistics 2026-02-02 Chaoyi Lu , Nial Friel

In many inference problems, the evaluation of complex and costly models is often required. In this context, Bayesian methods have become very popular in several fields over the last years, in order to obtain parameter inversion, model…

Computational Engineering, Finance, and Science · Computer Science 2021-07-21 Luca Martino , Víctor Elvira , Javier López-Santiago , Gustau Camps-Valls

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

Methodology · Statistics 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

Until recently, the use of Bayesian inference in population genetics was limited to a few cases because for many realistic population genetic models the likelihood function cannot be calculated analytically . The situation changed with the…

Methodology · Statistics 2009-01-16 Christoph Leuenberger Daniel Wegmann Laurent Excoffier

In this paper we propose a new deterministic approximation method, called discretization approximation, for Bayesian computation. Discretization approximation is very simple to understand and to implement, It only requires calculating…

Computation · Statistics 2026-01-13 Shifeng Xiong

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…

Computation · Statistics 2017-06-14 Johan Dahlin , Mattias Villani , Thomas B. Schön

In this work, an adaptive predictive control scheme for linear systems with unknown parameters and bounded additive disturbances is proposed. In contrast to related adaptive control approaches that robustly consider the parametric…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Johannes Teutsch , Christopher Narr , Sebastian Kerz , Dirk Wollherr , Marion Leibold

We consider the problem of inference for the states and parameters of a continuous-time multitype branching process from partially observed time series data. Exact inference for this class of models, typically using sequential Monte Carlo,…

Methodology · Statistics 2025-12-01 Angus Lewis , Antonio Parrella , John Maclean , Andrew J. Black

A new recalibration post-processing method is presented to improve the quality of the posterior approximation when using Approximate Bayesian Computation (ABC) algorithms. Recalibration may be used in conjunction with existing…

Computation · Statistics 2017-04-24 G. S. Rodrigues , D. Prangle , S. A. Sisson

Finite mixture models are used in statistics and other disciplines, but inference for mixture models is challenging due, in part, to the multimodality of the likelihood function and the so-called label switching problem. We propose…

Methodology · Statistics 2020-11-03 Umberto Simola , Jessi Cisewski-Kehe , Robert L. Wolpert

Missing data is a recurrent issue in epidemiology where the infection process may be partially observed. Approximate Bayesian Computation, an alternative to data imputation methods such as Markov Chain Monte Carlo integration, is proposed…

Applications · Statistics 2010-08-31 Michael G. B. Blum , Viet Chi Tran

The Python package pyABC provides a framework for approximate Bayesian computation (ABC), a likelihood-free parameter inference method popular in many research areas. At its core, it implements a sequential Monte-Carlo (SMC) scheme, with…

Quantitative Methods · Quantitative Biology 2022-03-25 Yannik Schälte , Emmanuel Klinger , Emad Alamoudi , Jan Hasenauer

Many statistical applications involve models for which it is difficult to evaluate the likelihood, but from which it is relatively easy to sample. Approximate Bayesian computation is a likelihood-free method for implementing Bayesian…

Methodology · Statistics 2017-11-29 Wentao Li , Paul Fearnhead

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…

Statistics Theory · Mathematics 2021-05-06 Marco Tarsia , Antonietta Mira , Daniele Cassani

Approximate confidence distribution computing (ACDC) offers a new take on the rapidly developing field of likelihood-free inference from within a frequentist framework. The appeal of this computational method for statistical inference…

Methodology · Statistics 2022-10-13 Suzanne Thornton , Wentao Li , Minge Xie

Approximate Bayesian Computational (ABC) methods (or likelihood-free methods) have appeared in the past fifteen years as useful methods to perform Bayesian analyses when the likelihood is analytically or computationally intractable. Several…

Methodology · Statistics 2012-05-01 Meili Baragatti , Agnès Grimaud , Denys Pommeret

Recently, we and several other authors have written about the possibilities of using stochastic approximation techniques for fitting variational approximations to intractable Bayesian posterior distributions. Naive implementations of…

Computation · Statistics 2014-01-14 Tim Salimans , David A. Knowles