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Approximate Bayesian Computation (ABC) is a statistical learning technique to calibrate and select models by comparing observed data to simulated data. This technique bypasses the use of the likelihood and requires only the ability to…

统计计算 · 统计学 2021-05-04 Pierre-Olivier Goffard , Patrick J. Laub

This paper is due to appear as a chapter of the forthcoming Handbook of Approximate Bayesian Computation (ABC) by S. Sisson, L. Fan, and M. Beaumont. We describe the challenge of calibrating climate simulators, and discuss the differences…

统计计算 · 统计学 2015-11-12 Philip B. Holden , Neil R. Edwards , James Hensman , Richard D. Wilkinson

Approximate Bayesian computation (ABC) methods perform inference on model-specific parameters of mechanistically motivated parametric statistical models when evaluating likelihoods is difficult. Central to the success of ABC methods is…

统计计算 · 统计学 2013-01-29 Erkan O. Buzbas , Noah A. Rosenberg

Modern neural networks have found to be miscalibrated in terms of confidence calibration, i.e., their predicted confidence scores do not reflect the observed accuracy or precision. Recent work has introduced methods for post-hoc confidence…

计算机视觉与模式识别 · 计算机科学 2021-09-22 Fabian Küppers , Jan Kronenberger , Jonas Schneider , Anselm Haselhoff

Decarbonization of the transport sector sets increasingly strict demands to maximize thermal efficiency and minimize greenhouse gas emissions of Internal Combustion Engines. This has led to complex engines with a surge in the number of…

系统与控制 · 电气工程与系统科学 2025-03-27 Maarten Vlaswinkel , Duarte Antunes , Frank Willems

Bayesian optimization has emerged as a highly effective tool for the safe online optimization of systems, due to its high sample efficiency and noise robustness. To further enhance its efficiency, reduced physical models of the system can…

机器学习 · 计算机科学 2024-06-18 Jannis O. Lübsen , Christian Hespe , Annika Eichler

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

Verifying the correctness of Bayesian computation is challenging. This is especially true for complex models that are common in practice, as these require sophisticated model implementations and algorithms. In this paper we introduce…

统计方法学 · 统计学 2020-10-22 Sean Talts , Michael Betancourt , Daniel Simpson , Aki Vehtari , Andrew Gelman

For nearly any challenging scientific problem evaluation of the likelihood is problematic if not impossible. Approximate Bayesian computation (ABC) allows us to employ the whole Bayesian formalism to problems where we can use simulations…

统计计算 · 统计学 2011-07-04 Chris Barnes , Sarah Filippi , Michael P. H. Stumpf , Thomas Thorne

Climate models are generally calibrated manually by comparing selected climate statistics, such as the global top-of-atmosphere energy balance, to observations. The manual tuning only targets a limited subset of observational data and…

大气与海洋物理 · 物理学 2022-04-06 Michael F. Howland , Oliver R. A. Dunbar , Tapio Schneider

Growing anthropogenic pressures have increased the need for robust predictive models. Meeting this demand requires approaches that can handle bigger data to yield forecasts that capture the variability and underlying uncertainty of…

定量方法 · 定量生物学 2024-08-06 EM Wolkovich , T Jonathan Davies , William D Pearse , Michael Betancourt

We develop and apply two calibration procedures for checking the coverage of approximate Bayesian credible sets including intervals estimated using Monte Carlo methods. The user has an ideal prior and likelihood, but generates a credible…

统计计算 · 统计学 2026-05-19 Jeong Eun Lee , Geoff K. Nicholls , Robin J. Ryder

Disease models are used to examine the likely impact of therapies, interventions and public policy changes. Ensuring that these are well calibrated on the basis of available data and that the uncertainty in their projections is properly…

统计计算 · 统计学 2025-01-24 Daria Semochkina , Cathal Walsh

We introduce a Bayesian approach to predictive density calibration and combination that accounts for parameter uncertainty and model set incompleteness through the use of random calibration functionals and random combination weights.…

应用统计 · 统计学 2016-10-26 Federico Bassetti , Roberto Casarin , Francesco Ravazzolo

Simulation models often have parameters as input and return outputs to understand the behavior of complex systems. Calibration is the process of estimating the values of the parameters in a simulation model in light of observed data from…

统计方法学 · 统计学 2024-11-15 Özge Sürer

To accelerate the scale-up of gaseous CO2 fermentation reactors, computational models need to predict gas-to-liquid mass transfer which requires capturing the bubble size dynamics, i.e. bubble breakup and coalescence. However, the…

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

机器学习 · 计算机科学 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

Computational models provide crucial insights into complex biological processes such as cancer evolution, but their mechanistic nature often makes them nonlinear and parameter-rich, complicating calibration. We systematically evaluate…

偏微分方程分析 · 数学 2025-09-24 Christina Schenk , Jacobo Ayensa Jiménez , Ignacio Romero

Clustering is a crucial task in various domains of knowledge, including medicine, epidemiology, genomics, environmental science, economics, and visual sciences, among others. Methodologies for inferring the number of clusters have often…

统计方法学 · 统计学 2025-05-26 Clara Grazian

Being cautious is crucial for enhancing the trustworthiness of machine learning systems integrated into decision-making pipelines. Although calibrated probabilities help in optimal decision-making, perfect calibration remains unattainable,…

机器学习 · 计算机科学 2024-08-12 Mari-Liis Allikivi , Joonas Järve , Meelis Kull