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This study aims to comprehensively investigate the deep ensemble approach, an approximate Bayesian inference, in the multi-output regression task for predicting the aerodynamic performance of a missile configuration. To this end, the effect…

Machine Learning · Computer Science 2023-11-27 Sunwoong Yang , Kwanjung Yee

Data-driven forecasts of air quality have recently achieved more accurate short-term predictions. Despite their success, most of the current data-driven solutions lack proper quantifications of model uncertainty that communicate how much to…

Machine Learning · Computer Science 2021-12-07 Abdulmajid Murad , Frank Alexander Kraemer , Kerstin Bach , Gavin Taylor

When incorporating deep neural networks into robotic systems, a major challenge is the lack of uncertainty measures associated with their output predictions. Methods for uncertainty estimation in the output of deep object detectors (DNNs)…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Ali Harakeh , Michael Smart , Steven L. Waslander

Learning dynamical systems from incomplete or noisy data is inherently ill-posed, as a single observation may correspond to multiple plausible futures. While physics-based ensemble forecasting relies on perturbing initial states to capture…

Machine Learning · Computer Science 2026-02-27 Siddharth Rout , Eldad Haber , Stephane Gaudreault

The topic of deep learning has seen a surge of interest in recent years both within and outside of the field of Statistics. Deep models leverage both nonlinearity and interaction effects to provide superior predictions in many cases when…

Methodology · Statistics 2020-09-18 Paul A. Parker , Scott H. Holan

Visualizing the uncertainty of ensemble simulations is challenging due to the large size and multivariate and temporal features of ensemble data sets. One popular approach to studying the uncertainty of ensembles is analyzing the positional…

Machine Learning · Computer Science 2022-10-25 Mengjiao Han , Tushar M. Athawale , David Pugmire , Chris R. Johnson

In recent years, there is a shift from modeling the tracking problem based on Bayesian formulation towards using deep neural networks. Towards this end, in this paper the effectiveness of various deep neural networks for predicting future…

Computer Vision and Pattern Recognition · Computer Science 2018-08-17 Stefan Becker , Ronny Hug , Wolfgang Hübner , Michael Arens

Understanding and quantifying uncertainty in black box Neural Networks (NNs) is critical when deployed in real-world settings such as healthcare. Recent works using Bayesian and non-Bayesian methods have shown how a unified predictive…

Machine Learning · Computer Science 2020-09-29 Utkarsh Sarawgi , Wazeer Zulfikar , Rishab Khincha , Pattie Maes

Uncertainty quantification is crucial to decision-making. A prominent example is probabilistic forecasting in numerical weather prediction. The dominant approach to representing uncertainty in weather forecasting is to generate an ensemble…

Machine Learning · Computer Science 2023-10-10 Lizao Li , Rob Carver , Ignacio Lopez-Gomez , Fei Sha , John Anderson

Inferring models, predicting the future, and estimating the entropy rate of discrete-time, discrete-event processes is well-worn ground. However, a much broader class of discrete-event processes operates in continuous-time. Here, we provide…

Statistical Mechanics · Physics 2020-05-11 S. E. Marzen , J. P. Crutchfield

Environment perception is the task for intelligent vehicles on which all subsequent steps rely. A key part of perception is to safely detect other road users such as vehicles, pedestrians, and cyclists. With modern deep learning techniques…

Computer Vision and Pattern Recognition · Computer Science 2020-07-13 Florian Kraus , Klaus Dietmayer

To perform high speed tasks, sensors of autonomous cars have to provide as much information in as few time steps as possible. However, radars, one of the sensor modalities autonomous cars heavily rely on, often only provide sparse, noisy…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Daniel Bauer , Lars Kuhnert , Lutz Eckstein

Predicting human trajectories is a challenging task due to the complexity of pedestrian behavior, which is influenced by external factors such as the scene's topology and interactions with other pedestrians. A special challenge arises from…

Physics and Society · Physics 2023-07-31 Raphael Korbmacher , Huu-Tu Dang , Antoine Tordeux

EEG decoding systems based on deep neural networks have been widely used in decision making of brain computer interfaces (BCI). Their predictions, however, can be unreliable given the significant variance and noise in EEG signals. Previous…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Tiehang Duan , Zhenyi Wang , Sheng Liu , Sargur N. Srihari , Hui Yang

The reliability assessment of a machine learning model's prediction is an important quantity for the deployment in safety critical applications. Not only can it be used to detect novel sceneries, either as out-of-distribution or anomaly…

Machine Learning · Computer Science 2022-05-12 Steve Dias Da Cruz , Bertram Taetz , Thomas Stifter , Didier Stricker

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,…

Machine Learning · Statistics 2020-06-26 Stanislav Fort , Huiyi Hu , Balaji Lakshminarayanan

Faithful uncertainty quantification (UQ) is paramount in high stakes climate prediction. Deep ensembles, or ensembles of probabilistic neural networks, are state of the art for UQ in machine learning (ML) and are growing increasingly…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Devin M. McAfee , Elizabeth A. Barnes

Deep learning models have exhibited superior performance in predictive tasks with the explosively increasing Electronic Health Records (EHR). However, due to the lack of transparency, behaviors of deep learning models are difficult to…

Machine Learning · Computer Science 2019-07-16 Riyi Qiu , Yugang Jia , Mirsad Hadzikadic , Michael Dulin , Xi Niu , Xin Wang

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.…

Machine Learning · Computer Science 2026-05-22 Pedro C. Vieira , Pedro Ribeiro , Viacheslav Borovitskiy

Classical problems in computational physics such as data-driven forecasting and signal reconstruction from sparse sensors have recently seen an explosion in deep neural network (DNN) based algorithmic approaches. However, most DNN models do…

Machine Learning · Computer Science 2023-02-21 Romit Maulik , Romain Egele , Krishnan Raghavan , Prasanna Balaprakash