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相关论文: Deep Ensembles Secretly Perform Empirical Bayes

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Deep ensembles can be considered as the current state-of-the-art for uncertainty quantification in deep learning. While the approach was originally proposed as a non-Bayesian technique, arguments supporting its Bayesian footing have been…

机器学习 · 计算机科学 2021-11-19 Lara Hoffmann , Clemens Elster

Ensembles of neural networks (NNs) have long been used to estimate predictive uncertainty; a small number of NNs are trained from different initialisations and sometimes on differing versions of the dataset. The variance of the ensemble's…

机器学习 · 计算机科学 2018-11-30 Tim Pearce , Mohamed Zaki , Andy Neely

Deep ensembles have been empirically shown to be a promising approach for improving accuracy, uncertainty and out-of-distribution robustness of deep learning models. While deep ensembles were theoretically motivated by the bootstrap,…

机器学习 · 统计学 2020-06-26 Stanislav Fort , Huiyi Hu , Balaji Lakshminarayanan

Deep Ensemble (DE) is an effective alternative to Bayesian neural networks for uncertainty quantification in deep learning. The uncertainty of DE is usually conveyed by the functional inconsistency among the ensemble members, say, the…

机器学习 · 计算机科学 2022-05-03 Zhijie Deng , Feng Zhou , Jianfei Chen , Guoqiang Wu , Jun Zhu

The task of quantifying the inherent uncertainty associated with neural network predictions is a key challenge in artificial intelligence. Bayesian neural networks (BNNs) and deep ensembles are among the most prominent approaches to tackle…

机器学习 · 计算机科学 2025-05-23 Valentin Villecroze , Yixin Wang , Gabriel Loaiza-Ganem

It is common practice to combine deep neural networks into ensembles. These deep ensembles can benefit from the cancellation of errors effect: Errors by ensemble members may average out, leading to better generalization performance than…

机器学习 · 计算机科学 2025-01-07 Nick Hauptvogel , Christian Igel

Neural networks have achieved remarkable performance across various problem domains, but their widespread applicability is hindered by inherent limitations such as overconfidence in predictions, lack of interpretability, and vulnerability…

机器学习 · 统计学 2023-09-29 Julyan Arbel , Konstantinos Pitas , Mariia Vladimirova , Vincent Fortuin

Deep Ensembles, as a type of Bayesian Neural Networks, can be used to estimate uncertainty on the prediction of multiple neural networks by collecting votes from each network and computing the difference in those predictions. In this paper,…

机器学习 · 计算机科学 2023-07-10 Illia Oleksiienko , Alexandros Iosifidis

Bayesian neural networks (BNNs) have been long considered an ideal, yet unscalable solution for improving the robustness and the predictive uncertainty of deep neural networks. While they could capture more accurately the posterior…

计算机视觉与模式识别 · 计算机科学 2021-03-26 Gianni Franchi , Andrei Bursuc , Emanuel Aldea , Severine Dubuisson , Isabelle Bloch

Annotating the right data for training deep neural networks is an important challenge. Active learning using uncertainty estimates from Bayesian Neural Networks (BNNs) could provide an effective solution to this. Despite being theoretically…

计算机视觉与模式识别 · 计算机科学 2019-02-22 Kashyap Chitta , Jose M. Alvarez , Adam Lesnikowski

Bayesian neural networks utilize probabilistic layers that capture uncertainty over weights and activations, and are trained using Bayesian inference. Since these probabilistic layers are designed to be drop-in replacement of their…

机器学习 · 计算机科学 2021-06-28 Daniel T. Chang

Deep neural networks (NNs) are powerful black box predictors that have recently achieved impressive performance on a wide spectrum of tasks. Quantifying predictive uncertainty in NNs is a challenging and yet unsolved problem. Bayesian NNs,…

机器学习 · 统计学 2017-11-07 Balaji Lakshminarayanan , Alexander Pritzel , Charles Blundell

Ensembling neural networks is an effective way to increase accuracy, and can often match the performance of individual larger models. This observation poses a natural question: given the choice between a deep ensemble and a single neural…

机器学习 · 计算机科学 2022-10-14 Taiga Abe , E. Kelly Buchanan , Geoff Pleiss , Richard Zemel , John P. Cunningham

Bayesian Neural Networks (BNNs) provide a probabilistic interpretation for deep learning models by imposing a prior distribution over model parameters and inferring a posterior distribution based on observed data. The model sampled from the…

机器学习 · 计算机科学 2023-11-15 Van-Anh Nguyen , Tung-Long Vuong , Hoang Phan , Thanh-Toan Do , Dinh Phung , Trung Le

The use of ensembles of neural networks (NNs) for the quantification of predictive uncertainty is widespread. However, the current justification is intuitive rather than analytical. This work proposes one minor modification to the normal…

机器学习 · 统计学 2018-07-03 Tim Pearce , Nicolas Anastassacos , Mohamed Zaki , Andy Neely

Neural-network-based machine learning interatomic potentials have emerged as powerful tools for predicting atomic energies and forces, enabling accurate and efficient simulations in atomistic modeling. A key limitation of traditional deep…

化学物理 · 物理学 2025-09-24 Riccardo Farris , Emanuele Telari , Nongnuch Artrith , Konstantin Neyman , Albert Bruix

We explore the link between deep ensembles and Gaussian processes (GPs) through the lens of the Neural Tangent Kernel (NTK): a recent development in understanding the training dynamics of wide neural networks (NNs). Previous work has shown…

机器学习 · 统计学 2020-10-27 Bobby He , Balaji Lakshminarayanan , Yee Whye Teh

Bayesian neural networks (BNNs) have recently gained popularity due to their ability to quantify model uncertainty. However, specifying a prior for BNNs that captures relevant domain knowledge is often extremely challenging. In this work,…

机器学习 · 计算机科学 2024-02-22 Dylan Sam , Rattana Pukdee , Daniel P. Jeong , Yewon Byun , J. Zico Kolter

While deep ensembles are widely considered to be the default method for uncertainty quantification in deep learning, their effectiveness for graph-structured data is often simply assumed based on successes in domains like computer vision.…

机器学习 · 计算机科学 2026-05-22 Pedro C. Vieira , Pedro Ribeiro , Viacheslav Borovitskiy

The key distinguishing property of a Bayesian approach is marginalization instead of optimization, not the prior, or Bayes rule. Bayesian inference is especially compelling for deep neural networks. (1) Neural networks are typically…

机器学习 · 计算机科学 2020-01-30 Andrew Gordon Wilson
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