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Weather forecasting plays a crucial role in supporting strategic decisions across various sectors, including agriculture, renewable energy production, and disaster management. However, the inherently dynamic and chaotic behavior of the…

Bayesian neural networks (BNNs) hold great promise as a flexible and principled solution to deal with uncertainty when learning from finite data. Among approaches to realize probabilistic inference in deep neural networks, variational Bayes…

Compared to point estimates calculated by standard neural networks, Bayesian neural networks (BNN) provide probability distributions over the output predictions and model parameters, i.e., the weights. Training the weight distribution of a…

机器学习 · 计算机科学 2022-12-01 Philipp Wagner , Xinyang Wu , Marco F. Huber

The inability of artificial neural networks to assess the uncertainty of their predictions is an impediment to their widespread use. We distinguish two types of learnable uncertainty: model uncertainty due to a lack of training data and…

机器学习 · 计算机科学 2022-06-14 Hans Weytjens , Jochen De Weerdt

Recurrent neural networks (RNNs) are widely used in computational neuroscience and machine learning applications. In an RNN, each neuron computes its output as a nonlinear function of its integrated input. While the importance of RNNs,…

神经元与认知 · 定量生物学 2012-07-10 Sebastian Bitzer , Stefan J. Kiebel

Data-driven correction of turbulence models offers a promising route for improving Reynolds-averaged Navier-Stokes (RANS) predictions, but quantifying uncertainty in such corrections and ensuring generalization across flows remain key…

流体动力学 · 物理学 2026-04-28 Tyler Buchanan , Ali Eidi , Richard P. Dwight

We investigate uncertainty estimation and multimodality via the non-deterministic predictions of Bayesian neural networks (BNNs) in fluid simulations. To this end, we deploy BNNs in three challenging experimental test-cases of increasing…

流体动力学 · 物理学 2022-05-04 Maximilian Mueller , Robin Greif , Frank Jenko , Nils Thuerey

Upcoming surveys such as the Vera C. Rubin Observatory Legacy Survey of Space and Time (LSST) will detect up to 10 million time-varying sources in the sky every night for ten years. This information will be transmitted in a continuous…

天体物理仪器与方法 · 物理学 2022-07-12 Anais Möller , Thibault de Boissière

The output of solar power generation is significantly dependent on the available solar radiation. Thus, with the proliferation of PV generation in the modern power grid, forecasting of solar irradiance is vital for proper operation of the…

应用统计 · 统计学 2022-09-05 Kwasi Opoku , Svetlana Lucemo , Qun Zhou Sun , Aleksandar Dimitrovski

The success of deep learning techniques over the last decades has opened up a new avenue of research for weather forecasting. Here, we take the novel approach of using a neural network to predict full probability density functions at each…

机器学习 · 统计学 2022-01-05 Mariana Clare , Omar Jamil , Cyril Morcrette

Wind energy plays a critical role in the transition towards renewable energy sources. However, the uncertainty and variability of wind can impede its full potential and the necessary growth of wind power capacity. To mitigate these…

机器学习 · 计算机科学 2026-01-13 Stefan Jonas , Kevin Winter , Bernhard Brodbeck , Angela Meyer

Data-driven techniques have improved the accuracy of Reynolds-averaged Navier-Stokes (RANS) models in fluid dynamics. However, modeling separated flows remains challenging due to their complex physics and sensitivity to local conditions.…

流体动力学 · 物理学 2025-11-19 Ali Eidi , Tyler Buchanan , Letian Jiang , Richard P. Dwight

The midlatitude climate and weather are shaped by storms, yet the factors governing their predictability remain insufficiently understood. Here, we use a Convolutional Neural Network (CNN) to predict and quantify uncertainty in the…

大气与海洋物理 · 物理学 2025-10-30 Wuqiushi Yao , Or Hadas , Yohai Kaspi

Convolutional Neural Networks (CNN) possess many positive qualities when it comes to spatial raster data. Translation invariance enables CNNs to detect features regardless of their position in the scene. However, in some domains, like…

机器学习 · 计算机科学 2020-07-13 Arnas Uselis , Mantas Lukoševičius , Lukas Stasytis

A fundamental limitation of traditional Neural Networks (NN) in predictive modelling is their inability to quantify uncertainty in their outputs. In critical applications like positioning systems, understanding the reliability of…

信号处理 · 电气工程与系统科学 2025-03-11 Miquel Garcia-Fernandez

Artificial Neural Networks are connectionist systems that perform a given task by learning on examples without having prior knowledge about the task. This is done by finding an optimal point estimate for the weights in every node.…

机器学习 · 计算机科学 2019-01-10 Kumar Shridhar , Felix Laumann , Marcus Liwicki

The energy market relies on forecasting capabilities of both demand and power generation that need to be kept in dynamic balance. Today, when it comes to renewable energy generation, such decisions are increasingly made in a liberalized…

机器学习 · 计算机科学 2022-03-15 Odin Foldvik Eikeland , Finn Dag Hovem , Tom Eirik Olsen , Matteo Chiesa , Filippo Maria Bianchi

Deep Bayesian neural networks (BNNs) are a powerful tool, though computationally demanding, to perform parameter estimation while jointly estimating uncertainty around predictions. BNNs are typically implemented using arbitrary…

机器学习 · 计算机科学 2020-05-12 Daniele Silvestro , Tobias Andermann

Deep learning techniques have been shown to be extremely effective for various classification and regression problems, but quantifying the uncertainty of their predictions and separating them into the epistemic and aleatoric fractions is…

信号处理 · 电气工程与系统科学 2019-10-15 Augustin Prado , Ravinath Kausik , Lalitha Venkataramanan

Bayesian neural network models (BNN) have re-surged in recent years due to the advancement of scalable computations and its utility in solving complex prediction problems in a wide variety of applications. Despite the popularity and…

机器学习 · 统计学 2020-11-20 Shrijita Bhattacharya , Zihuan Liu , Tapabrata Maiti