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Approximate Bayesian computation (ABC) performs statistical inference for otherwise intractable probability models by accepting parameter proposals when corresponding simulated datasets are sufficiently close to the observations. Producing…

统计计算 · 统计学 2014-12-05 Dennis Prangle

We develop a Bayesian inference method for discretely-observed stochastic differential equations (SDEs). Inference is challenging for most SDEs, due to the analytical intractability of the likelihood function. Nevertheless, forward…

统计方法学 · 统计学 2024-11-08 Petar Jovanovski , Andrew Golightly , Umberto Picchini

Models of stochastic processes are widely used in almost all fields of science. Theory validation, parameter estimation, and prediction all require model calibration and statistical inference using data. However, data are almost always…

统计计算 · 统计学 2022-09-07 David J. Warne , Thomas P. Prescott , Ruth E. Baker , Matthew J. Simpson

Approximate Bayesian Computation (ABC) methods have become essential tools for performing inference when likelihood functions are intractable or computationally prohibitive. However, their scalability remains a major challenge in…

统计方法学 · 统计学 2025-07-09 Antoine Luciano , Charly Andral , Christian P. Robert , Robin J. Ryder

In statistical applications, it is common to encounter parameters supported on a varying or unknown dimensional space. Examples include the fused lasso regression, the matrix recovery under an unknown low rank, etc. Despite the ease of…

统计方法学 · 统计学 2022-10-04 Maoran Xu , Hua Zhou , Yujie Hu , Leo L. Duan

Estimating the predictive uncertainty of a Bayesian learning model is critical in various decision-making problems, e.g., reinforcement learning, detecting adversarial attack, self-driving car. As the model posterior is almost always…

机器学习 · 计算机科学 2021-02-16 Yufei Cui , Wuguannan Yao , Qiao Li , Antoni B. Chan , Chun Jason Xue

Molecular Dynamics (MD) simulations are a powerful tool for studying matter at the atomic scale. However, to simulate solids, an initial atomic structure is crucial for the successful execution of MD simulations, but can be difficult to…

计算物理 · 物理学 2024-11-27 Lars Dammann , Richard Kohns , Patrick Huber , Robert H. Meißner

Experimental calibration of dynamic thermal models is required for model predictive control and characterization of building energy performance. In these applications, the uncertainty assessment of the parameter estimates is decisive; this…

应用统计 · 统计学 2019-04-25 L. Raillon , Christian Ghiaus

The process of calibrating computer models of natural phenomena is essential for applications in the physical sciences, where plenty of domain knowledge can be embedded into simulations and then calibrated against real observations. Current…

机器学习 · 计算机科学 2025-01-20 Rafael Oliveira , Dino Sejdinovic , David Howard , Edwin V. Bonilla

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…

定量方法 · 定量生物学 2022-03-25 Yannik Schälte , Emmanuel Klinger , Emad Alamoudi , Jan Hasenauer

Conventional molecular dynamics (MD) simulation approaches, such as $\textit{ab initio}$ MD (AIMD) and empirical force field MD (EFFMD), face significant trade-offs between physical accuracy and computational efficiency. This work presents…

无序系统与神经网络 · 物理学 2026-05-12 Hongyu Yan , Yong Wei , Minghan Chen , Hanning Chen

Approximate Bayesian computation (ABC) is a popular technique for approximating likelihoods and is often used in parameter estimation when the likelihood functions are analytically intractable. Although the use of ABC is widespread in many…

统计理论 · 数学 2011-03-29 Thomas A. Dean , Sumeetpal S. Singh , Ajay Jasra , Gareth W. Peters

A common method for assessing validity of Bayesian sampling or approximate inference methods makes use of simulated data replicates for parameters drawn from the prior. Under continuity assumptions, quantiles of functions of the simulated…

统计计算 · 统计学 2019-11-21 Xuejun Yu , David J. Nott , Minh-Ngoc Tran , Nadja Klein

To conduct Bayesian inference with large data sets, it is often convenient or necessary to distribute the data across multiple machines. We consider a likelihood function expressed as a product of terms, each associated with a subset of the…

统计计算 · 统计学 2020-04-09 Lewis J. Rendell , Adam M. Johansen , Anthony Lee , Nick Whiteley

Bayesian inference promises to ground and improve the performance of deep neural networks. It promises to be robust to overfitting, to simplify the training procedure and the space of hyperparameters, and to provide a calibrated measure of…

机器学习 · 计算机科学 2019-08-12 Jonathan Heek , Nal Kalchbrenner

Approximate Bayesian computation (ABC) is commonly used for parameter estimation and model comparison for intractable simulator-based models whose likelihood function cannot be evaluated. In this paper we instead investigate the feasibility…

统计方法学 · 统计学 2022-09-13 Marko Järvenpää , Jukka Corander

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…

统计计算 · 统计学 2017-04-24 G. S. Rodrigues , D. Prangle , S. A. Sisson

An important problem for HCI researchers is to estimate the parameter values of a cognitive model from behavioral data. This is a difficult problem, because of the substantial complexity and variety in human behavioral strategies. We report…

Approximate Bayesian computation (ABC) is a class of Bayesian inference algorithms that targets for problems with intractable or {unavailable} likelihood function. It uses synthetic data drawn from the simulation model to approximate the…

统计计算 · 统计学 2024-12-24 Xuefei Cao , Shijia Wang , Yongdao Zhou

Recently, combinations of generative and Bayesian machine learning have been introduced in particle physics for both fast detector simulation and inference tasks. These neural networks aim to quantify the uncertainty on the generated…

机器学习 · 计算机科学 2024-11-21 Sebastian Bieringer , Sascha Diefenbacher , Gregor Kasieczka , Mathias Trabs