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Bayesian model averaging (BMA) is the state of the art approach for overcoming model uncertainty. Yet, especially on small data sets, the results yielded by BMA might be sensitive to the prior over the models. Credal Model Averaging (CMA)…

统计方法学 · 统计学 2014-05-15 Giorgio Corani , Andrea Mignatti

This paper presents an innovative approach, called credal wrapper, to formulating a credal set representation of model averaging for Bayesian neural networks (BNNs) and deep ensembles (DEs), capable of improving uncertainty estimation in…

机器学习 · 计算机科学 2025-05-12 Kaizheng Wang , Fabio Cuzzolin , Keivan Shariatmadar , David Moens , Hans Hallez

We revisit the classical, full-fledged Bayesian model averaging (BMA) paradigm to ensemble pre-trained and/or lightly-finetuned foundation models to enhance the classification performance on image and text data. To make BMA tractable under…

机器学习 · 计算机科学 2025-05-29 Mijung Park

Conformal prediction has emerged as a popular technique for facilitating valid predictive inference across a spectrum of machine learning models, under minimal assumption of exchangeability. Recently, Hoff (2023) showed that full conformal…

统计理论 · 数学 2025-11-24 Pankaj Bhagwat , Linglong Kong , Bei Jiang

Bayesian Model Averaging (BMA) is an application of Bayesian inference to the problems of model selection, combined estimation and prediction that produces a straightforward model choice criteria and less risky predictions. However, the…

统计方法学 · 统计学 2017-11-08 Tiago M. Fragoso , Francisco Louzada Neto

Background: We proposed approximate Bayesian computation with single distribution selection (ABC-SD) for estimating mean and standard deviation from other reported summary statistics. The ABC-SD generates pseudo data from a single…

统计方法学 · 统计学 2016-07-12 Deukwoo Kwon , Isildinha M. Reis

We propose Bayesian model averaging (BMA) as a method for postprocessing the results of model-based clustering. Given a number of competing models, appropriate model summaries are averaged, using the posterior model probabilities, instead…

统计计算 · 统计学 2015-07-01 Niamh Russell , Thomas Brendan Murphy , Adrian E Raftery

A new approach for Bayesian model averaging (BMA) and selection is proposed, based on the mixture model approach for hypothesis testing in Kaniav et al., 2014. Inheriting from the good properties of this approach, it extends BMA to cases…

统计方法学 · 统计学 2018-08-02 Merlin Keller , Kaniav Kamary

A general challenge in statistics is prediction in the presence of multiple candidate models or learning algorithms. Model aggregation tries to combine all predictive distributions from individual models, which is more stable and flexible…

统计方法学 · 统计学 2021-09-28 Yuling Yao

This paper studies prediction with multiple candidate models, where the goal is to combine their outputs. This task is especially challenging in heterogeneous settings, where different models may be better suited to different inputs. We…

机器学习 · 统计学 2025-10-28 Yuli Slavutsky , Sebastian Salazar , David M. Blei

We consider a binary unsupervised classification problem where each observation is associated with an unobserved label that we want to retrieve. More precisely, we assume that there are two groups of observation: normal and abnormal. The…

机器学习 · 统计学 2011-05-05 Stevenn Volant , Marie-Laure Martin Magniette , Stéphane Robin

The widely recommended procedure of Bayesian model averaging is flawed in the M-open setting in which the true data-generating process is not one of the candidate models being fit. We take the idea of stacking from the point estimation…

统计方法学 · 统计学 2018-10-15 Yuling Yao , Aki Vehtari , Daniel Simpson , Andrew Gelman

Autonomous Experimentation Platforms (AEPs) are advanced manufacturing platforms that, under intelligent control, can sequentially search the material design space (MDS) and identify parameters with the desired properties. At the heart of…

机器学习 · 计算机科学 2023-02-28 Ahmed Shoyeb Raihan , Imtiaz Ahmed

Current causal discovery approaches require restrictive model assumptions in the absence of interventional data to ensure structure identifiability. These assumptions often do not hold in real-world applications leading to a loss of…

机器学习 · 统计学 2025-06-25 Anish Dhir , Ruby Sedgwick , Avinash Kori , Ben Glocker , Mark van der Wilk

In this paper, we study the accuracy of values aggregated over classes predicted by a classification algorithm. The problem is that the resulting aggregates (e.g., sums of a variable) are known to be biased. The bias can be large even for…

机器学习 · 统计学 2019-12-02 Q. A. Meertens , C. G. H. Diks , H. J. van den Herik , F W Takes

The posterior in probabilistic programs with stochastic support decomposes as a weighted sum of the local posterior distributions associated with each possible program path. We show that making predictions with this full posterior…

机器学习 · 计算机科学 2024-04-15 Tim Reichelt , Luke Ong , Tom Rainforth

Approximate Bayesian Computation (ABC) is typically used when the likelihood is either unavailable or intractable but where data can be simulated under different parameter settings using a forward model. Despite the recent interest in ABC,…

统计方法学 · 统计学 2019-12-24 Rafael Izbicki , Ann B. Lee , Taylor Pospisil

We propose Bayesian Conformal Prediction (BCP), a framework that combines Bayesian posterior predictive distributions with PAC-style conformal risk control to produce prediction sets with finite-sample coverage guarantees. Standard…

机器学习 · 计算机科学 2026-05-11 Fanyi Wu , Veronika Lohmanova , Samuel Kaski , Michele Caprio

We assess the accuracy of Bayesian polynomial extrapolations from small parameter values, x, to large values of x. We consider a set of polynomials of fixed order, intended as a proxy for a fixed-order effective field theory (EFT)…

统计方法学 · 统计学 2022-06-17 M. A. Connell , I. Billig , D. R. Phillips

Composite likelihood provides approximate inference when the full likelihood is intractable and sub-likelihood functions of marginal events can be evaluated relatively easily. It has been successfully applied for many complex models.…

统计方法学 · 统计学 2024-09-05 Wentao Li , Rosabeth White , Dennis Prangle
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