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Bayesian Neural Networks (BNNs) often improve model calibration and predictive uncertainty quantification compared to point estimators such as maximum-a-posteriori (MAP). Similarly, deep ensembles (DEs) are also known to improve…

Machine Learning · Computer Science 2025-03-18 Mikkel Jordahn , Jonas Vestergaard Jensen , Mikkel N. Schmidt , Michael Riis Andersen

Current deep neural networks suffer from two problems; first, they are hard to interpret, and second, they suffer from overfitting. There have been many attempts to define interpretability in neural networks, but they typically lack…

Machine Learning · Computer Science 2019-08-15 Sean Tao

Ensembles improve prediction performance and allow uncertainty quantification by aggregating predictions from multiple models. In deep ensembling, the individual models are usually black box neural networks, or recently, partially…

Machine Learning · Statistics 2022-05-26 Lucas Kook , Andrea Götschi , Philipp FM Baumann , Torsten Hothorn , Beate Sick

Multiple techniques for producing calibrated predictive probabilities using deep neural networks in supervised learning settings have emerged that leverage approaches to ensemble diverse solutions discovered during cyclic training or…

Machine Learning · Computer Science 2021-12-08 John T. Holodnak , Allan B. Wollaber

Bayesian inference was once a gold standard for learning with neural networks, providing accurate full predictive distributions and well calibrated uncertainty. However, scaling Bayesian inference techniques to deep neural networks is…

Machine Learning · Computer Science 2019-07-18 Pavel Izmailov , Wesley J. Maddox , Polina Kirichenko , Timur Garipov , Dmitry Vetrov , Andrew Gordon Wilson

Deep Ensembles (DE) are a prominent approach for achieving excellent performance on key metrics such as accuracy, calibration, uncertainty estimation, and out-of-distribution detection. However, hardware limitations of real-world systems…

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…

Machine Learning · Statistics 2018-07-03 Tim Pearce , Nicolas Anastassacos , Mohamed Zaki , Andy Neely

The importance of accurately quantifying forecast uncertainty has motivated much recent research on probabilistic forecasting. In particular, a variety of deep learning approaches has been proposed, with forecast distributions obtained as…

Machine Learning · Statistics 2024-11-11 Benedikt Schulz , Lutz Köhler , Sebastian Lerch

The class imbalance problem is important and challenging. Ensemble approaches are widely used to tackle this problem because of their effectiveness. However, existing ensemble methods are always applied into original samples, while not…

Machine Learning · Computer Science 2022-06-29 Fan Li , Xiaoheng Zhang , Yongming Li , Pin Wang

Bayesian inference for neural networks, or Bayesian deep learning, has the potential to provide well-calibrated predictions with quantified uncertainty and robustness. However, the main hurdle for Bayesian deep learning is its computational…

Machine Learning · Statistics 2023-09-07 Sanket Jantre , Nathan M. Urban , Xiaoning Qian , Byung-Jun Yoon

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…

Machine Learning · Computer Science 2021-06-28 Daniel T. Chang

Deep neural networks can obtain impressive performance on various tasks under the assumption that their training domain is identical to their target domain. Performance can drop dramatically when this assumption does not hold. One…

Machine Learning · Computer Science 2024-10-10 Gaël Gendron , Michael Witbrock , Gillian Dobbie

Neural network ensembles have been effectively used to improve generalization by combining the predictions of multiple independently trained models. However, the growing scale and complexity of deep neural networks have led to these methods…

Machine Learning · Computer Science 2024-07-09 Tim Whitaker

Neural network ensembles, such as Bayesian neural networks (BNNs), have shown success in the areas of uncertainty estimation and robustness. However, a crucial challenge prohibits their use in practice. BNNs require a large number of…

Machine Learning · Computer Science 2022-07-15 Namuk Park , Songkuk Kim

We show that ensembles of deep neural networks, called deep ensembles, can be used to perform quantum parameter estimation while also providing a means for quantifying uncertainty in parameter estimates, which is a key advantage of using…

Quantum Physics · Physics 2026-03-09 Amanuel Anteneh

Ensemble learning is a mainstay in modern data science practice. Conventional ensemble algorithms assign to base models a set of deterministic, constant model weights that (1) do not fully account for individual models' varying accuracy…

Methodology · Statistics 2019-04-02 Jeremiah Zhe Liu , John Paisley , Marianthi-Anna Kioumourtzoglou , Brent A. Coull

Ensemble learning has had many successes in supervised learning, but it has been rare in unsupervised learning and dimensionality reduction. This study explores dimensionality reduction ensembles, using principal component analysis and…

Machine Learning · Statistics 2017-10-13 Colleen M. Farrelly

Due to the growing adoption of deep neural networks in many fields of science and engineering, modeling and estimating their uncertainties has become of primary importance. Despite the growing literature about uncertainty quantification in…

Machine Learning · Computer Science 2023-02-15 Brian Staber , Sébastien Da Veiga

Recommending items to users has long been a fundamental task, and studies have tried to improve it ever since. Most well-known models commonly employ representation learning to map users and items into a unified embedding space for matching…

Information Retrieval · Computer Science 2025-04-16 Radin Cheraghi , Amir Mohammad Mahfoozi , Sepehr Zolfaghari , Mohammadshayan Shabani , Maryam Ramezani , Hamid R. Rabiee

Uncertainty estimation and ensembling methods go hand-in-hand. Uncertainty estimation is one of the main benchmarks for assessment of ensembling performance. At the same time, deep learning ensembles have provided state-of-the-art results…

Machine Learning · Statistics 2021-07-20 Arsenii Ashukha , Alexander Lyzhov , Dmitry Molchanov , Dmitry Vetrov