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Science and Engineering applications are typically associated with expensive optimization problems to identify optimal design solutions and states of the system of interest. Bayesian optimization and active learning compute surrogate models…

机器学习 · 计算机科学 2024-07-09 Francesco Di Fiore , Michela Nardelli , Laura Mainini

Simulation-based calibration (SBC) is a method for validating inference algorithms and model implementations through repeated inference on data simulated from a generative model. For a model to be generative, one must specify proper priors.…

统计方法学 · 统计学 2025-05-26 Luna Fazio , Maximilian Scholz , Javier Enrique Aguilar , Paul-Christian Bürkner

Methods for reasoning under uncertainty are a key building block of accurate and reliable machine learning systems. Bayesian methods provide a general framework to quantify uncertainty. However, because of model misspecification and the use…

机器学习 · 计算机科学 2018-07-03 Volodymyr Kuleshov , Nathan Fenner , Stefano Ermon

Bayesian estimation is a powerful theoretical paradigm for the operation of quantum sensors. However, the Bayesian method for statistical inference generally suffers from demanding calibration requirements that have so far restricted its…

量子物理 · 物理学 2021-09-22 Samuel P. Nolan , Augusto Smerzi , Luca Pezzè

Model selection in the presence of intractable likelihoods remains a central challenge in Bayesian inference. Approximate Bayesian computation (ABC) provides a flexible likelihood-free framework, but its use for model choice is known to be…

统计方法学 · 统计学 2026-03-03 Clara Grazian

In this note, we shortly survey some recent approaches on the approximation of the Bayes factor used in Bayesian hypothesis testing and in Bayesian model choice. In particular, we reassess importance sampling, harmonic mean sampling, and…

统计计算 · 统计学 2015-05-13 Christian P. Robert , Darren Wraith

A Bayesian non-parametric framework for studying time-to-event data is proposed, where the prior distribution is allowed to depend on an additional random source, and may update with the sample size. Such scenarios are natural, for…

统计方法学 · 统计学 2025-05-06 Martin Bladt , Jorge González Cázares

This paper, which is Part 1 of a two-part paper series, considers a simulation-based inference with learned summary statistics, in which such a learned summary statistic serves as an empirical-likelihood with ameliorative effects in the…

机器学习 · 统计学 2026-02-02 Getachew K. Befekadu

We present a novel technique for tailoring Bayesian quadrature (BQ) to model selection. The state-of-the-art for comparing the evidence of multiple models relies on Monte Carlo methods, which converge slowly and are unreliable for…

机器学习 · 计算机科学 2019-03-04 Henry Chai , Jean-Francois Ton , Roman Garnett , Michael A. Osborne

We propose a novel calibration method for computer simulators, dealing with the problem of covariate shift. Covariate shift is the situation where input distributions for training and test are different, and ubiquitous in applications of…

机器学习 · 统计学 2020-03-20 Keiichi Kisamori , Motonobu Kanagawa , Keisuke Yamazaki

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

A common approach to learn robotic skills is to imitate a demonstrated policy. Due to the compounding of small errors and perturbations, this approach may let the robot leave the states in which the demonstrations were provided. This…

机器人学 · 计算机科学 2019-08-08 Emmanuel Pignat , Sylvain Calinon

Making good predictions of a physical system using a computer code requires the inputs to be carefully specified. Some of these inputs called control variables have to reproduce physical conditions whereas other inputs, called parameters,…

统计计算 · 统计学 2018-04-04 Guillaume Damblin , Pierre Barbillon , Merlin Keller , Alberto Pasanisi , Eric Parent

The Bayesian approach to data analysis provides a powerful way to handle uncertainty in all observations, model parameters, and model structure using probability theory. Probabilistic programming languages make it easier to specify and fit…

Asynchronous Bayesian optimization is a recently implemented technique that allows for parallel operation of experimental systems and disjointed workflows. Contrasting with serial Bayesian optimization which individually selects experiments…

机器学习 · 计算机科学 2024-10-23 Amanda A. Volk , Kristofer G. Reyes , Jeffrey G. Ethier , Luke A. Baldwin

Confidence calibration of classification models is a technique to estimate the true posterior probability of the predicted class, which is critical for ensuring reliable decision-making in practical applications. Existing confidence…

统计方法学 · 统计学 2025-02-19 Jinzong Dong , Zhaohui Jiang , Dong Pan , Haoyang Yu

The rigorous safety verification of control systems in critical applications is essential, given their increasing complexity and integration into everyday life. Simulation-based falsification approaches play a pivotal role in the safety…

系统与控制 · 电气工程与系统科学 2024-03-13 Joshua Yancosek , Ali Baheri

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

Gaussian process priors are a popular choice for Bayesian analysis of regression problems. However, the implementation of these models can be complex, and ensuring that the implementation is correct can be challenging. In this paper we…

机器学习 · 计算机科学 2021-10-29 John Mcleod , Fergus Simpson

A key factor in ensuring the accuracy of computer simulations that model physical systems is the proper calibration of their parameters based on real-world observations or experimental data. Inevitably, uncertainties arise, and Bayesian…

计算工程、金融与科学 · 计算机科学 2026-02-25 Daniel Andrés Arcones , Martin Weiser , Phaedon-Stelios Koutsourelakis , Jörg F. Unger